Synthesis of minimax optimal controllers for uncertain time-delay systems with structured uncertainty

This paper is concerned with the design of robust state feedback controllers for a class of uncertain time-delay 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 uncertainties. 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: Time-delay systems, uncertain systems, absolute stability, robust performance, Riccati equations.

• Type: Journal
• Year: 2000
• Where: IJSYSC
• Authors: S. O. Reza Moheimani, Andrey V. Savkin, Ian R. Petersen
• Keywords: IJSYSC 2000, Minimax Optimal Controller, Time-delay Systems, Uncertain Time-delay Systems