Robust Control Under Parametric Uncertainty


[1] G. Aguirre, H. Chapellat, and S. P. Bhattacharyya. Stability margins for discrete - time uncertain systems. In Proceedings of the 1989 IEEE Conference on Decision and Control, Tampa, FL, December 1989.
[2] S. S. Ahmad, L. H. Keel, and S. P. Bhattacharyya. Robust PID control and lead - lag compensator for linear interval systems. In M. Mansour, S. Balemi, and W. Truöl, editors, Robustness of Dynamic Systems with Parameter Uncertainties, pages 251 - 260. Birkhäuser, Berlin, 1992.
[3] B. D. O. Anderson, F. Kraus, M. Mansour, and S. Dasgupta. Easily testable sufficient conditions for the robust stability of systems with multiaffine parameter dependence. In M. Mansour, S. Balemi, and W. Truöl, editors, Robustness of Dynamic Systems with Parameter Uncertainties, pages 81 - 92. Birkhäuser, Berlin, 1992.
[4] B. R. Barmish. New tools for robustness analysis. In Proceedings of the 27th IEEE Conference on Decision and Control, Austin, TX, December 1988.
[5] B. R. Barmish, P. P. Khargonekar, Z. Shi, and R. Tempo. Robustness margin need not be a continuous function of the problem data. Systems & Control Letters, 15:371 - 381, 1989.
[6] A. C. Bartlett. Nyquist, Bode, and Nichols plots of uncertain systes. In Proceedings of the 1990 American Control Conference, San Diego, CA, 1990.
[7] A. C. Bartlett. Vertex results for the steady state analysis of uncertain systems. IEEE Transactions on Automatic Control, 37(11):1758 - 1762, November 1992.
[8] A. C. Bartlett, C. V. Hollot, and H. Lin. Root location of an entire polytope of polynomials: It suffices to check the edges. Mathematics of Controls, Signals and Systems, 1:61 - 71, 1988.
[9] A. C. Bartlett, A. Tesi, and A. Vicino. Frequency response of uncertain systems with interval plants. IEEE Transactions on Automatic Control, 38(6):929 - 933, June 1993.
[10] S. P. Bhattacharyya, H. Chapellat, and L. H. Keel. Robust Control: The Parametric Approach. Prentice Hall PTR, Upper Saddle River, NJ, 1995.
[11] N. K. Bose. Invariance of interval system properties. In S. P. Bhattacharyya and L. H. Keel, editors, Control of Uncertain Dynamic Systems. CRC Press, Littleton, MA, September 1991.
[12] S. P. Bhattacharyya and L. H. Keel. Robust stability and control of linear and multilinear interval systems. In C. T. Leondes, editor, Control and Dynamic Systems, volume 51, pages 31 - 78. Academic Press, New York, NY, 1992.
[13] S. P. Bhattacharyya, L. H. Keel, and J. W. Howze. Stabilization of linear systems with fixed order controllers. Linear Algebra and Its Applications, 98:57 - 76, 1988.
[14] S. Bialas. A necessary and sufficient condition for the stability of convex combinations of stable polynomials and matrices. Bulletin of Polish Academy of Science, 39(9 - 10):473 - 480, 1985.
[15] R. M. Biernacki, H. Hwang, and S. P. Bhattacharyya. Robust stabilization of plants subject to structured real parameter perturbations. IEEE Transactions on Automatic Control, AC - 32(6):495 - 506, June 1987.
[16] N. K. Bose. A system-theoretic approach to stability of sets of polynomials. Contemporary Mathematics, 47:25 - 34, 1985.
[17] N. K. Bose. Robust multivariable scattering Hurwitz interval polynomials. Linear Algebra and Its Application, 98:123 - 136, 1988.
[18] N. K. Bose. Test of Hurwitz and Schur properties of convex combination of complex polynomials. IEEE Transactions on Automatic Control, 36(9):1245 - 1247, 1989.
[19] N. K. Bose. Argument conditions for Hurwitz and Schur polynomials from network theory. IEEE Transactions on Automatic Control, 39(2):345 - 346, February 1994.
[20] N. K. Bose and J. F. Delansky. Boundary implications for interval positive rational functions. IEEE Transactions on Circuits and Systems, CAS - 36:454 - 458, 1989.
[21] N. K. Bose and Y. Q. Shi. Network realizability theory approach to stability of complex polynomials. IEEE Transactions on Automatic Control, 34(2):216 - 218, 1987.
[22] H. Chapellat and S. P. Bhattacharyya. Calculation of maximal stability domains using an optimal property of Kharitonov polynomials. In Analysis and Optimization of Systems, Lecture Notes in Control and Information Sciences, pages 22 - 31. Springer - Verlag, 1988.
[23] H. Chapellat and S. P. Bhattacharyya. Robust stability and stabilization of interval plants. In M. Milanese, R. Tempo, and A. Vicino, editors, Robustness in Identification and Control, pages 207 - 229. Plemum, New York, 1989.
[24] H. Chapellat, S. P. Bhattacharyya, and L. H. Keel. Stability margin for Hurwitz polynomials. In Proceedings of the 27th IEEE Conference on Decision and Control, pages 1392 - 1398, Austin, TX, December 1988.
[25] H. Chapellat, M. Dahleh, and S. P. Bhattacharyya. Robust stability under structured and unstructured perturbations. IEEE Transactions on Automatic Control, AC - 35(10):1100 - 1108, October 1990.
[26] H. Chapellat, M. Dahleh, and S. P. Bhattacharyya. On robust nonlinear stability of interval control systems. IEEE Transactions on Automatic Control, AC - 36(1):59 - 67, January 1991.
[27] H. Chapellat, M. Mansour, and S. P. Bhattacharyya. Elementary proofs of some classical stability criteria. IEEE Transactions on Education, 33(3):232 - 239, 1990.
[28] M. Dahleh, A. Tesi, and A. Vicino. On the robust Popov criterion for interval Lur'e system. IEEE Transactions on Automatic Control, 38(9):1400 - 1405, September 1993.
[29] R. R. E. deGaston and M. G. Safonov. Exact calculation of the multiloop stability margin. IEEE Transactions on Automatic Control, AC - 33(2):156 - 171, February 1988.
[30] C. Elizondo-Gonzales. Necessary and sufficient conditions for robust positivity of polynomic functions via sign decomposition. In Proceedings of the 3rd IFAC Symposium on Robust Control Design (ROCOND), Prague, Czech Republic, 2000.
[31] Y. K. Foo and Y. C. Soh. Stability analysis of a family of matrices. IEEE Transactions on Automatic Control, 35(11):1257 - 1259, November 1990.
[32] M. Fu. Computing the frequency response of linear systems with parametric perturbation. Systems & Control Letters, 15:45 - 52, 1990.
[33] M. Fu and B. R. Barmish. Polytopes and polynomials with zeros in a prescribed set. IEEE Transactions on Automatic Control, AC-34:544 - 546, 1989.
[34] M. Fu, A. W. Olbrot, and M. P. Polis. Robust stability for time-delay systems: The Edge theorem and graphical tests. IEEE Transactions on Automatic Control, 34(8):813 - 820, August 1989.
[35] D. Hinrichsen and A. J. Pritchard. New robustness results for linear systems under real perturbations. In Proceedings of the 27th IEEE Conference on Decision and Control, 1988.
[36] D. Hinrichsen and A. J. Pritchard. A robustness measure for linear systems under structured real parameter perturbations. Technical report, Institut fur Dynamische Systeme, Bremen, Germany, 1991. Report No. 184.
[37] M. T. Ho, A. Datta, and S. P. Bhattacharyya. Generalizations of the Hermite-Biehler theorem. Linear Algebra and Its Applications, 302-303:135 - 153, 1999.
[38] M. T. Ho, G. J. Silva, A. Datta, and S. P. Bhattacharyya. Real and complex stabilization: Stability and performance. In Proceedings of the 2004 American Control Conference, pages 4126 - 4138, Boston, MA, June 2004.
[39] C. V. Hollot and R. Tempo. On the Nyquist envelope of an interval plant family. IEEE Transactions on Automatic Control, 39(2):391 - 396, February 1994.
[40] C. V. Hollot and Z. L. Xu. When is the image of a multilinear function a polytope? A conjecture. In Proceedings of the 28th IEEE Conference on Decision and Control, pages 1890 - 1891, Tampa, FL, 1989.
[41] C. V. Hollot and F. Yang. Robust stabilization of interval plants using lead or lag compensators. Systems & Control Letters, 14:9 - 12, 1990.
[42] H. I. Kang. Extreme point results for robustness of control systems. PhD thesis, Department of Electrical and Computer Engineering, University of Wisconsin, Madison, Wisconsin, U.S.A., 1992.
[43] A. Katbab and E. I. Jury. Robust Schur-stability of control systems with interval plants. International Journal of Control, 51(6):1343 - 1352, 1990.
[44] L. H. Keel and S.P. Bhattacharyya. Robust stability of interval matrices: A computational approach. International Journal of Control, 62(6):1491 - 1506, 1995.
[45] L. H. Keel and S. P. Bhattacharyya. Parametric stability margin for multilinear interval control systems. In Proceedings of the 1993 American Control Conference, San Francisco, CA, June 1993.
[46] L. H. Keel and S. P. Bhattacharyya. Stability margin for multilinear interval systems via phase conditions: A unified approach. In Proceedings of the 1993 American Control Conference, San Francisco, CA, June 1993.
[47] L. H. Keel and S. P. Bhattacharyya. Control system design for parametric uncertainty. International Journal of Robust and Nonlinear Control, 4(1):87 - 100, 1994.
[48] L. H. Keel and S. P. Bhattacharyya. Robust parametric classical control design. IEEE Transactions on Automatic Control, 39(7):1524 - 1530, 1994.
[49] L. H. Keel and S. P. Bhattacharyya. Robust, optimal, or fragile? IEEE Transactions on Automatic Control, 42(8):1098 - 1105, 1997.
[50] L. H. Keel and S. P. Bhattacharyya. A generalization of Mikhailov's criterion with applications. In Proceedings of the 2000 American Control Conference, Chicago, IL, June 2000.
[51] L. H. Keel and S. P. Bhattacharyya. Root counting, phase unwrapping, stability and stabilization of discrete time systems. Linear Algebra and Its Application, 351 - 352:501 - 518, 2002.
[52] L. H. Keel, S. P. Bhattacharyya, and J. W. Howze. Robust control with structured perturbations. IEEE Transactions on Automatic Control, AC - 33(1):68 - 78, January 1988.
[53] J. Kogan. Robust Stability and Convexity. Springer - Verlag, New York, NY, 1994.
[54] W. Malik, D. Swaroop, and S. P. Bhattacharyya. A linear programming approach to the synthesis of fixed order controllers. IEEE Transactions on Automatic Control, 53, 2008.
[55] M. Mansour. Robust stability of interval matrices. In Proceedings of the 28th IEEE Conference on Decision and Control, Tampa, FL, December 1989.
[56] M. Mansour. Robust stability in systems described by rational functions. In C. T. Leondes, editor, Control and Dynamic Systems, volume 51, pages 79 - 128. Academic Press, New York, NY, 1992.
[57] M. Mansour and F. J. Kraus. Argument conditions for Hurwitz and Schur stable polynomials and the robust stability problem. Technical report, ETH, Zurich, Tech. Report, 1990.
[58] H. J. Marquez and C. P. Diduch. On strict positive realness of interval plants. IEEE Transactions on Circuits and Systems, 40(8):551 - 552, 1993.
[59] J. M. Martin. State-space measures for stability robustness. IEEE Transactions on Automatic Control, AC-32(6):509 - 512, June 1987.
[60] T. Mori and S. Barnett. On stability tests for some classes of dynamical systems with perturbed coefficients. IMA Journal of Mathematical Control and Information, 5:117 - 123, 1988.
[61] T. Mori and H. Kokame. Stability of interval polynomials with vanishing extreme coefficients. In Recent Advances in Mathematical Theory of Systems, Control, Networks, and Signal Processing I, pages 409 - 414. Mita Press, Tokyo, Japan, 1992.
[62] A. B. Ozguler and A. A. Kocan. An analytic determination of stabilizing feedback gains. Technical report, Report 321, Institut für Dynamische Systeme, Universitat Bremen, September 1994.
[63] R. V. Patel and M. Toda. Quantitative measures of robustness for multivariable systems. In Proceedings of American Control Conference, San Francisco, CA, May 1980.
[64] B. T. Polyak. Robustness analysis for multilinear perturbations. In M. Mansour, S. Balemi, and W. Truöl, editors, Robustness of Dynamic Systems with Parameter Uncertainties, pages 93 - 104. Birkhäuser, Berlin, 1992.
[65] A. Rantzer. Stability conditions for polytopes of polynomials. IEEE Transactions on Automatic Control, AC-37:79 - 89, January 1992.
[66] M. E. Sezer and D. D. Siljak. A note on robust stability bounds. IEEE Transactions on Automatic Control, 34(11):1212 - 1215, November 1989.
[67] A. Sideris and R. S. Sánches Peña. Fast computation of the multivariable stability margin for real interrelated uncertain parameters. IEEE Transactions on Automatic Control, 34(12):1272 - 1276, December 1989.
[68] G. J. Silva, A. Datta, and S. P. Bhattacharyya. Controller design via Padé approximation can lead to instability. In Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, 2001.
[69] A. Tesi and A. Vicino. A new fast algorithm for robust stability analysis of linear control systems with linearly correlated parametric uncertainty. Systems & Control Letters, 13:321 - 329, 1989.
[70] A. Tesi and A. Vicino. Robust stability of state-space models with structured uncertainties. IEEE Transactions on Automatic Control, 35(2):191 - 195, February 1990.
[71] A. Tesi and A. Vicino. Robustness analysis for linear dynamical systems with linearly correlated parameter uncertainties. IEEE Transactions on Automatic Control, 35(2):186 - 190, February 1990.
[72] A. Tesi and A. Vicino. Kharitonov segments suffice for frequency response analysis of plant-controller families. In S. P. Bhattacharyya and L. H. Keel, editors, Control of Uncertain Dynamic Systems. CRC Press, Littleton, MA, September 1991.
[73] A. Tesi and A. Vicino. Robust absolute stability of Lur'e control systems in parameter space. Automatica, 27:147 - 151, 1991.
[74] A. Tesi and A. Vicino. Robust strict positive realness: New results for interval plant plus controller families. In Proceedings of the 30th IEEE Conference on Decision and Control, pages 421 - 426, Brighton, UK, December 1991.
[75] Y. Z. Tsypkin and B. T. Polyak. Robust absolute stability of continuous systems. In M. Mansour, S. Balemi, and W. Truöl, editors, Robustness of Dynamic Systems with Parameter Uncertainties, pages 113 - 124. Birkhäuser, Berlin, 1992.
[76] D. D. Siljak. Polytopes of nonnegative polynomials. In Proceedings of the 1989 American Control Conference, Pittsburgh, PA, June 1989.
[77] A. Vicino, A. Tesi, and M. Milanese. Computation of nonconservative stability perturbation bounds for systems with nonlinearly correlated uncertainties. IEEE Transactions on Automatic Control, AC - 35(7):835 - 841, July 1990.
[78] R. K. Yedavalli. Improved measures of stability for linear state space model. IEEE Transactions on Automatic Control, AC - 30(6):577 - 579, June 1985.
[79] R. K. Yedavalli and Z. Liang. Reduced conservatism in stability robustness bounds by state transformation. IEEE Transactions on Automatic Control, AC-31(9):863 - 865, September 1986.
  • Results related to Kharitonov's Theorem and its extensions
  • [80] B. R. Barmish. Invariance of strict Hurwitz property of polynomials with perturbed coefficients. IEEE Transactions on Automatic Control, AC - 29(10):935 - 936, 1984.
    [81] B. R. Barmish. A generalization of Kharitonov's four polynomial concept for robust stability problems with linearly dependent coefficient perturbations. IEEE Transactions on Automatic Control, 34(2):157 - 165, February 1989.
    [82] S. P. Bhattacharyya. Robust parametric stability: The role of the CB segments. In S. P. Bhattacharyya and L. H. Keel, editors, Control of Uncertain Dynamic Systems. CRC Press, Littleton, MA, September 1991.
    [83] S. P. Bhattacharyya. Vertex results in robust stability. Technical report, TCSP Report, Texas A&M University, April 1991.
    [84] N. K. Bose and Y. Q. Shi. A simple general proof of Kharitonov's general stability criterion. IEEE Transactions on Circuits and Systems, CAS - 34:1233 - 1237, 1987.
    [85] H. Chapellat and S. P. Bhattacharyya. An alternative proof of Kharitonov's theorem. IEEE Transactions on Automatic Control, AC - 34(4):448 - 450, April 1989.
    [86] H. Chapellat and S. P. Bhattacharyya. A generalization of Kharitonov's theorem: Robust stability of interval plants. IEEE Transactions on Automatic Control, AC - 34(3):306 - 311, March 1989.
    [87] S. Dasgupta. A Kharitonov like theorem for systems under nonlinear passive feedback. In Proceedings of the 26th IEEE Conference on Decision and Control, pages 2062 - 2063, Los Angeles, CA, December 1987.
    [88] S. Dasgupta. Kharitonov's theorem revisited. Systems & Control Letters, 11:381 - 384, 1988.
    [89] S. Faedo. A new stability problem for polynomials with real coefficients. Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat., Ser. 3 - 7:53 - 63, 1953.
    [90] V. L. Kharitonov. Asymptotic stability of an equilibrium position of a family of systems of linear differential equations. Differential Uravnen, 14:2086 - 2088, 1978. Translation in Differential Equations, vol. 14, pp. 1483 - 1485, 1979.
    [91] V. L. Kharitonov. The Routh-Hurwitz problem for families of polynomials and quasipolynomials. Izvetiy Akademii Nauk Kazakhskoi SSR, Seria fizikomatematicheskaia, 26:69 - 79, 1979.
    [92] V. L. Kharitonov. Interval stability of quasipolynomials. In S. P. Bhattacharyya and L. H. Keel, editors, Control of Uncertain Dynamic Systems. CRC Press, Littleton, MA, September 1991.
    [93] V. L. Kharitonov and A. P. Zhabko. Robust stability of time-delay systems. IEEE Transactions on Automatic Control, 39:2388 - 2397, 1994.
    [94] M. Mansour and B. D. O. Anderson. Kharitonov's theorem and the second method of Lyapunov. In M. Mansour, S. Balemi, and W. Truöl, editors, Robustness of Dynamic Systems with Parameter Uncertainties, pages 3 - 12. Birkhäuser, Berlin, 1992.
    [95] T. Meressi, D. Chen, and B. Paden. Application of Kharitonov's theorem to mechanical systems. IEEE Transactions on Automatic Control, 38(3):488 - 491, March 1993.
    [96] R. J. Minnichelli, J. J. Anagnost, and C. A. Desoer. An elementary proof of Kharitonov's stability theorem with extensions. IEEE Transactions on Automatic Control, AC - 34(9):995 - 998, 1989.
    [97] I. R. Petersen. A new extension to Kharitonov's theorem. In Proceedings of IEEE Conference on Decision and Control, Los Angeles, CA, December 1987.
    [98] A. Rantzer. Kharitonov's weak theorem holds if and only if the stability region and its reciprocal are convex. International Journal of Nonlinear and Robust Control, 1992.
    [99] C. B. Soh, C. S. Berger, and K. P. Dabke. On the stability properties of polynomials with perturbed coefficients. IEEE Transactions on Automatic Control, AC - 30(10):1033 - 1036, October 1985.
    [100] K. S. Yeung and S. S. Wang. A simple proof of Kharitonov's theorem. IEEE Transactions on Automatic Control, 32:822 - 823, April 1987.


    PID Control and 3-term Control



    [1] S. S. Ahmad and L. H. Keel. Robust lead-lag compensation for uncertain linear systems. In Proceedings of the 1992 IEEE Symposium on Circuits and Systems, pages 2716 - 2719, San Diego, CA, 1992.
    [2] S. S. Ahmad, L. H. Keel, and S. P. Bhattacharyya. Computer aided robust control design for interval control system. In Proceedings of the IEEE Symposimum on Computer Aided Control System Design, pages 82 - 89, Napa, CA, 1992.
    [3] K. J. Åström and T. Hägglund. Automatic tuning of simple regulators with specifications on phase and amplitude margins. Automatica, 20:645 - 651, 1984.
    [4] K. J. Åström and T. Hägglund. PID Controllers: Theory, Design, and Tuning. Instrument Society of America, Research Triangle Park, NC, 1995.
    [5] D. P. Atherton and S. Majhi. Limitations of PID controllers. In Proceedings of the 1999 American Control Conference, San Diego, GA, June 1999.
    [6] B. R. Barmish, C. V. Hollot, F. J. Kraus, and R. Tempo. Extreme point results for robust stabilization of interval plants with first order compensators. IEEE Transactions on Automatic Control, 37(6):707 - 714, June 1992.
    [7] A. Datta, M.T. Ho, and S.P. Bhattacharyya. Structure and Synthesis of PID Controllers. Springer-Verlag, New York, NY, 2000.
    [8] M. T. Ho. Synthesis of h_ {infty} pid controllers. In Proceedings of the 40th IEEE Conference on Decision and Control, pages 255 - 260, Orlando, FL, December 2001.
    [9] M. T. Ho, A. Datta, and S. P. Bhattacharyya. Control system design using low order controllers: Constant gain, PI, and PID. In Proceedings of the 1997 American Control Conference, pages 571 - 578, 1997.
    [10] M. T. Ho, A. Datta, and S. P. Bhattacharyya. A linear programming characterization of all stabilizing PID controllers. In Proceedings of the 1997 American Control Conference, pages 3922 - 3928, 1997.
    [11] M. T. Ho, A. Datta, and S. P. Bhattacharyya. Robust and non-fragile PID controller design. International Journal of Robust and Nonlinear Control, 11:681 - 708, 2001.
    [12] M. T. Ho and C. Y. Lin. PID controller design for robust performance. In Proceedings of the 41st IEEE Conference on Decision and Control, pages 1063 - 1067, Seville, Spain, December 2002.
    [13] M. T. Ho, G. J. Silva, A. Datta, and S. P. Bhattacharyya. Real and complex stabilization: Stability and performance. In Proceedings of the 2004 American Control Conference, pages 4126 - 4138, Boston, MA, June 2004.
    [14] W. Ho, C. Hang, and J. Zhou. Self-tuning PID control for a plant with underdamped response with specification on gain and phase margins. IEEE Transactions on Control Systems Technology, 5(4):446 - 452, 1997.
    [15] L.H. Keel and S.P. Bhattacharyya. Data based interval controller design. In Proceedings of the 2007 IEEE Conference on Decision and Control, New Orleans, LA, 2007.
    [16] L.H. Keel and S.P. Bhattacharyya. Controller synthesis free of analytical models: Three term controllers. IEEE Transactions on Automatic Control, 53(9), 2008.
    [17] L. H. Keel and S. P. Bhattacharyya. Control system design for parametric uncertainty. International Journal of Robust and Nonlinear Control, 4(1):87 - 100, 1994.
    [18] L. H. Keel and S. P. Bhattacharyya. Robust parametric classical control design. IEEE Transactions on Automatic Control, 39(7):1524 - 1530, 1994.
    [19] L. H. Keel and S. P. Bhattacharyya. Direct synthesis of first order controllers from frequency response measurements. In Proceedings of the American Control Control, Portland, OR, June 8-10 2005.
    [20] L. H. Keel and S. P. Bhattacharyya. PID controller synthesis free of analytical models. In Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, July 4-8 2005.
    [21] L. H. Keel and S. P. Bhattacharyya. Data driven synthesis of three term digital controllers. In Proceedings of the American Control Conference, Minneapolis, MN, June 14-16 2006.
    [22] L. H. Keel, S. Mitra, and S. P. Bhattacharyya. Data driven synthesis of three term digital controllers. SICE Journal of Control, Measurement, and System Integration, 1(2):102 - 110, 2008.
    [23] L. H. Keel, J. I. Rego, and S. P. Bhattacharyya. A new approach to digital PID controller design. IEEE Transactions on Automatic Control, 48(4):687 - 692, 2003.
    [24] Y. C. Kim, L. H. Keel, and S. P. Bhattacharyya. Computer aided control system design: Multiple design objectives. In Proceedings of the European Control Conference, Kos, Greece, July 2-5 2007.
    [25] G. J. Silva, A. Datta, and S. P. Bhattacharyya. PI stabilization of first-order systems with time-delay. Automatica, 37:2025 - 2031, 2001.
    [26] R. N. Tantaris, L. H. Keel, and S. P. Bhattacharyya. Stabilization of discrete time systems by first order controllers. IEEE Transactions on Automatic Control, 48(5):858 - 861, 2003.
    [27] R. N. Tantaris, L. H. Keel, and S. P. Bhattacharyya. H design with first order controllers. IEEE Transactions on Automatic Control, 51(8):1343 - 1347, 2006.
    [28] R. N. Tantaris, L. H. Keel, and S. P. Bhattacharyya. Stabilization of continuous-time systems by first order controllers. In Proceedings of the 10th IEEE Mediterranean Conference on Control and Automation, Lisbon, Portugal, July 9 - 12, 2002.
    [29] R. N. Tantaris, L. H. Keel, and S. P. Bhattacharyya. Gain/phase margin design with first order controllers. In Proceedings of the 2003 American Control Conference, Denver, CO, June 4 - 6, 2003.
    [30] A. A. Voda and I. D. Landau. A method of the auto-calibration of PID controllers. Automatica, 31(1):41 - 53, 1995.
    [31] H. Xu, A. Datta, and S. P. Bhattacharyya. Computation of all stabilizing PID gains for digital control systems. IEEE Transactions on Automatic Control, 46(4):647 - 652, 2001.
    [32] H. Xu, A. Datta, and S. P. Bhattacharyya. PID stabilization of lti plants with time-delay. In Proceedings of the 42nd IEEE Conference on Decision and Control, pages 4038 - 4043, Maui, HI, December 9 - 12, 2003.
    [33] S. Yamamoto and I Hashimoto. Present status and future needs: The view from Japanese industry. In Proceedings of the 4th International Conference on Chemical Process Control, Tokyo, Japan, December 1991. Springer-Verlag.
    [34] M. Zhuang and D. P. Atherton. Automatic tuning of optimum PID controllers. IEE Proceedings - D, 140(3):216 - 224, 1993.