Static output feedback sliding mode controller design for minimum phase uncertain systems

This paper addresses the problem of designing a static output feedback sliding mode control algorithm for linear MIMO systems with mismatched parameter uncertainties and matched perturbations. Once the system is in the sliding mode, the proposed output-dependent sliding variable can guarantee robust stability of the closed-loop system. The existence condition of the sliding variable is determined by solving the coupled algebraic Riccati equations which are involved with the original system parameters. The developed control law having the min–max property can guarantee that the system states are globally driven to and are finally maintained on the sliding variable in finite time. The high-gain control problem can be effectively avoided. The feasibility of the proposed method is demonstrated by simulation results.