Fixed Order Dynamic Optimal Control Design for Robust Stability of Discrete Systems

This paper presents a fixed order dynamic optimal controller design method for robust stability of linear discrete systems. The controller determination includes a stability robustness component in addition to the standard quadratic state and control terms in the performance criterion. The controller design is based on the parameter optimization technique. The resulting controller involves the solution of three algebraic matrix equations, two of which are discrete-time Lyapunov matrix equations.