In this paper, we address the problem of synthesizing output feedback control law for constrained linear systems. For lack of state information, the plant states will be estimated by an observer. Using the Lyapunov function of estimated plant and controller states, the constrained output feedback control problem will be formulated and solved in terms of linear matrix inequalities (LMIs). The quadratic cost function is minimized over control policies to yield an output feedback control strategy subject to input/output constraints. Both infinite-horizon and finitehorizon receding horizon control (RHC) are considered in the paper. Closed-loop stability and feasibility of RHC are guaranteed by off-line constrained control designs. The simulation results show that finite-horizon RHC provides better performance upper bound than infinite-horizon RHC.

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