Non-algorithmic Robust Static Output Feedback Control Designs for Parametric Uncertain Systems

Abstract

This paper proposes novel static output feedback (SOF) control designs for the continuous-time systems under parametric uncertainty and linear time-invariant systems. The convex solutions based on the finite-dimensional linear matrix inequality are improved without any algorithmic approaches, thanks to the slack variable such that the solutions are achieved by isolation Lyapunov matrix from the system and controller matrix. In addition, the method is extended to H2 SOF control design for the systems. Moreover, less conservative results are provided via the isolation in terms of the robust stability against the uncertainties. Finally, several numerical examples are presented to demonstrate the applicability of the proposed controller design.