A polytopic set of process models can be considered. An iterative solution that converges to a stable output feedback gain is proposed. A suboptimal solution is developed and the problem reduces to a pair of coupled LMI problems. The resulting optimization problem becomes nonlinear with the inclusion of the stabilizing condition. The stability condition for the closed loop is included as a Lyapunov inequality. The proposed controller uses a new state-space formulation of the system, and the control problem is presented as an LMI optimization problem. ![]() Abstract - This paper addresses the stability of Model Predictive Control (MPC) with output feedback.
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