Synthesis of Minimax Optimal Controllers for Uncertain TimeDelay Systems with Structured Uncertainty

This paper is concerned with the design of robust state feedback controllers for a class of un certain timedelay systems The uncertainty is assumed to satisfy a certain integral quadratic constraint The controller proposed is a minimax optimal controller in the sense that it minimizes the maximum value of a corresponding linear quadratic cost function over all admissible uncertain ties The controller leads to an absolutely stable closed loop uncertain system and is constructed by solving a nite dimensional parameter dependent algebraic Riccati equation Key Words Timedelay systems uncertain systems absolute stability robust performance Riccati equations Delays often occur in the transmission of material or information between dierent parts of a system Communication systems transmission systems chemical processing systems metallurgical processing systems environmental systems and power systems are examples of timedelay systems Considerabl