Robust constrained model predictive control using linear matrix inequalities
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
New approaches to relaxed quadratic stability condition of fuzzy control systems
IEEE Transactions on Fuzzy Systems
Quasi-Min-Max MPC algorithms for LPV systems
Automatica (Journal of IFAC)
Robust output feedback model predictive control of constrained linear systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
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This paper considers robust model predictive control for systems with poly topic uncertainty and bounded disturbance, where the system state is unmeasurable, and the model at the current sampling time is an exact combination of the vertices of the polytope. A parameter-dependent dynamic output feedback is used for this problem. At each sampling time, the optimization problems can be solved via LMI techniques. By specifying quadratic boundedness, the closed-loop system is guaranteed to converge to a neighborhood of the origin. The primary contribution is the separation of the step for handling estimation error constraint in another always feasible optimization problem, being solved after the main optimization is performed. Thus, the recursive feasibility of the main optimization can be retrieved in a better manner. A numerical example is given to illustrate the effectiveness of the controller.