Static Output Feedback Stabilization with H∞ Performance for Discrete-Time Piecewise Affine Systems: An LMI Approach
A static output feedback (SOF) control schemes are proposed. The basic idea of it is to construct piecewise quadratic Lyapunov function and introduce a dissipation inequality to guarantee the system energy dissipation. It is shown that the controller analysis or the synthesis problem can be casted as convex optimization problem, and the controller can be obtained by solving a set of linear matrix inequalities. The designed controllers not only guarantee the stability of the closed-loop systems, but also obtain the disturbance attenuation ability.
J. Wang and T. Zhang, "Static Output Feedback Stabilization with H∞ Performance for Discrete-Time Piecewise Affine Systems: An LMI Approach", Applied Mechanics and Materials, Vols. 48-49, pp. 1112-1115, 2011