Systems with parametric uncertainty: An algebraic approach to robust control design

Abstract

The book deals with robust control of systems with parametric uncertainty. The proposed and improved continuous-time control design is based on general solutions of Diophantine equations in the ring of proper and stable rational functions. One of advantages of this algebraic synthesis consists in the existence of single tuning parameter which serves for additional influence of final control behaviour. The robust stability of closed-loop control systems under parametric uncertainty can be verified via some specific tools. Lot of them are described in this monograph. Moreover, the selected algorithms are implemented into program created in Matlab + Simulink environment with the support of the Polynomial Toolbox and the capabilities of the program are demonstrated on the set of illustrative examples. Last but not least, the book presents identification and control experiments on real laboratory model of hot-air tunnel. An array of results gained during control of bulb temperature and airflow speed clearl