Control of discrete-time systems with uncertain parameters

One of the fundamental problems in system design is synthesis of control structures that stabilize uncertain systems and guarantee robust performance. The objective of this paper is to present a general framework for treating a robust control problem for uncertain discrete-time systems. The reason and importance of designing the digital algorithms is microprocessors realizations of control structures. This paper derives robust strategies via the Lyapunov theory and dynamic programming, and new results are presented. Conditions for the existence of robust controllers and Lyapunov functions are formulated, and design procedures are developed. To illustrate the practical use of the explored design tool, an example of synthesis and analysis of an electric drive with a single-phase induction motor is reported.