Robust control of interval plants: a time domain method

A time-domain algorithm is proposed to control interval plants described by impulse response functions. The closed-loop control actions are determined based on the interval ranges of the model parameters. Robust steady-state performance in tracking a given set-point can be guaranteed if the sign of the static gain is certain despite possible open-loop overshooting, delay, and nonminimum phase of the interval plants. Simulation examples are given to illustrate the performance. An application example in welding process control is also included.

[1]  YuMing Zhang,et al.  Dynamic Estimation of Full Penetration Using Geometry of Adjacent Weld Pools , 1997 .

[2]  David W. Clarke,et al.  Generalized predictive control - Part I. The basic algorithm , 1987, Autom..

[3]  Riccardo Scattolini,et al.  Constrained receding-horizon predictive control , 1991 .

[4]  B. R. Barmish,et al.  Extreme point results for robust stability of interval plants: Beyond first order compensators , 1992, Autom..

[5]  Radovan Kovacevic,et al.  Neurofuzzy model-based weld fusion state estimation , 1997 .

[6]  Manfred Morari,et al.  Robust Model Predictive Control , 1987, 1987 American Control Conference.

[7]  S. Bhattacharyya,et al.  A generalization of Kharitonov's theorem; Robust stability of interval plants , 1989 .

[8]  Lin Li,et al.  Adaptive control of full penetration gas tungsten arc welding , 1996, IEEE Trans. Control. Syst. Technol..

[9]  Riccardo Scattolini,et al.  A note on multivariable generalized predictive control , 1992 .

[10]  J. Allwright,et al.  On linear programming and robust modelpredictive control using impulse-responses , 1992 .

[11]  B. R. Barmish,et al.  A survey of extreme point results for robustness of control systems, , 1993, Autom..

[12]  Serge Boverie,et al.  Nonlinear control of a spark-ignition engine , 1995, IEEE Trans. Control. Syst. Technol..

[13]  Keck Voon Ling,et al.  Expert control of air-conditioning plant , 1994, Autom..

[14]  Domingo Docampo,et al.  Controller synthesis for a class of interval plants , 1995, Autom..

[15]  Closed-loop hyperstability of interval plants , 1994, IEEE Trans. Autom. Control..

[16]  Suhada Jayasuriya,et al.  On the generation of QFT bounds for general interval plants , 1994 .

[17]  A. Vicino,et al.  Regularity conditions for robust stability problems with linearly structured perturbations , 1990, 29th IEEE Conference on Decision and Control.

[18]  A. W. Olbrot,et al.  Robust stabilization: some extensions of the gain margin maximization problem , 1994, IEEE Trans. Autom. Control..

[19]  YuMing Zhang,et al.  Sensing and Control of Weld Pool Geometry for Automated GTA Welding , 1995 .

[20]  Arie Leizarowitz,et al.  Frequency domain criterion for robust stability of interval time-delay systems , 1995, Autom..

[21]  Ronald R. Mohler,et al.  Nonlinear control methods for power systems: a comparison , 1995, IEEE Trans. Control. Syst. Technol..

[22]  Munther A. Dahleh,et al.  An overview of extremal properties for robust control of interval plants , 1993, Autom..

[23]  Roberto Tempo,et al.  Extreme point results for robust stabilization of interval plants with first-order compensators , 1992 .