An LMI Approach to Optimal Memoryless Regulator of Systems with Time-Delay in the States and Its Circle Condition

Abstract

An alternative method to construct an optimal memoryless regulator of systems with time-delay in the states is proposed. A feedback law is constructed with a solution of a linear matrix inequality. It is shown that the resulting closed loop system satisfies the circle condition, and it is assured to have a good robustness property as well as finite dimensional linear quadratic regulators. Numerical examples are given.