Robust Static and Fixed-order Dynamic Output Feedback Control of Discrete-time Lur'e Systems

This paper considers the design of static and fixed-order dynamic output feedback controllers for discrete-time Lur'e systems with sector-bounded nonlinearities and polytopic parametric uncertainty. Controller design equations are derived for systems with multiple states, outputs, and nonlinearities in terms of linear matrix inequalities (LMIs). The design methods are based on parameter-dependent Lyapunov functions (PDLFs) combined with the latest in theoretical and iterative numerical methods for solving certain classes of nonconvex inequalities. The design methods are illustrated in several numerical examples.