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Constrained robust model predictive control via parameter-dependent dynamic output feedback. (English) Zbl 1201.93039

Summary: This paper considers output feedback robust model predictive control for the quasi-Linear Parameter Varying (quasi-LPV) system with bounded disturbance. The so-called quasi-LPV means that the varying parameters of the linear system are known at the current time, but unknown in the future. The control law is parameterized as a parameter-dependent dynamic output feedback, and the closed-loop stability is specified by the notion of quadratic boundedness. An iterative algorithm is proposed for the on-line synthesis of the control law via convex optimization. A numerical example is given to illustrate the effectiveness of the controller.

MSC:

93B50 Synthesis problems
93B52 Feedback control
93B35 Sensitivity (robustness)
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[1] Alessandri, A.; Baglietto, M.; Battistelli, G., On estimation error bounds for receding-horizon filters using quadratic boundedness, IEEE Transactions on Automatic Control, 49, 1350-1355 (2004) · Zbl 1365.93495
[2] Alessandri, A.; Baglietto, M.; Battistelli, G., Design of state estimators for uncertain linear systems using quadratic boundedness, Automatica, 42, 497-502 (2006) · Zbl 1123.93052
[3] Blanchini, F., Set invariance in control, Automatica, 35, 1747-1767 (1999) · Zbl 0935.93005
[4] Ding, B.; Xi, Y.; Cychowski, M. T.; O’Mahony, T., A synthesis approach for output feedback robust constrained model predictive control, Automatica, 44, 258-264 (2008) · Zbl 1138.93340
[5] El Ghaoui, L.; Oustry, F.; Ait Rami, M., A cone complementarity linearization algorithm for static output-feedback and related problems, IEEE Transactions on Automatic Control, 42, 1171-1176 (1997) · Zbl 0887.93017
[8] Kothare, M. V.; Balakrishnan, V.; Morari, M., Robust constrained model predictive control using linear matrix inequalities, Automatica, 32, 1361-1379 (1996) · Zbl 0897.93023
[9] Lee, Y. I.; Kouvaritakis, B., Receding horizon output feedback control for linear systems with input saturation, IEE Proceedings of Control Theory and Application, 148, 109-115 (2001)
[10] Mayne, D. Q.; Rakovic, S. V.; Findeisen, R.; Allgower, F., Robust output feedback model predictive control of constrained linear systems, Automatica, 42, 1217-1222 (2006) · Zbl 1116.93032
[11] Sala, A.; Arino, C., Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Application of Polya’s theorem, Fuzzy Sets and Systems, 158, 2671-2686 (2007) · Zbl 1133.93348
[12] Scherer, C.; Gahinet, P.; Chilali, M., Multiobjective output-feedback control via LMI optimization, IEEE Transactions on Automatic Control, 42, 896-911 (1997) · Zbl 0883.93024
[13] Wan, Z.; Kothare, M. V., Efficient scheduled stabilizing output feedback model predictive control for constrained nonlinear systems, IEEE Transactions on Automatic Control, 49, 1172-1177 (2004) · Zbl 1365.93272
[14] Wen, C.; Ma, X.; Ydstie, B., Analytical expression of explicit MPC solution via lattice piecewise-affine function, Automatica, 45, 910-917 (2009) · Zbl 1162.93358
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