REDUCED-ORDER DYNAMIC COMPENSATOR DESIGN FOR STABILITY ROBUSTNESS OF LINEAR DISCRETE-TIME-SYSTEMS

This note presents a reduced-order dynamic compensator design with stability robustness for linear discrete systems, by including a stability robustness component in addition to the standard quadratic state and control terms in the performance criterion. The robustness component is based on a recently developed unstructured perturbation stability bound for time-varying perturbations. The controller design is developed by the parameter optimization technique and involves the solution of five algebraic matrix equations, four of which are discrete-time Lyapunov matrix equations.