Optimization Of Dynamic Outputfeedback Controller For Piecewise Affine systems: An Lmi Approach

摘要

This note proposes a systematic method to optimizing dynamic output feedback controller for continuous-time hybrid systems in the Piecewise Affine (PWA) form. In this note, design of the dynamic output feedback controller is shown in the frame of L_2 gain synthesis for PWA systems. Matrix inequalities derived from dynamic output feedback controller is not usually linear. Using a congruence transformation, the nonlinear matrix inequalities are mapped into linear matrix inequalities, whose solutions are quite feasible using commercially available software. The proposed techniques satisfy features such as: globally quadratic stability, continuity of control signal, and tracking a reference input. A numerical example is included to demonstrate the applicability and effectiveness of the proposed technique.