Guaranteed cost stabilization control of discrete‐time switched systems

Abstract

Abstract This paper is concerned with the guaranteed cost control problem of a class of linear discrete‐time switched systems with parametric uncertainties. Both state‐based and dynamic output‐based robust stabilization problems are investigated by using mode‐dependent dwell time technique. Different from the existing results, here, the designed controllers are both mode‐dependent and quasi‐time‐dependent, which are less conservative. On the basis of the designed quasi‐time‐dependent Lyapunov functions, robust stabilization criteria are presented for the system under consideration. The solvable conditions are formulated as linear matrix inequalities, which are thus easy to be solved. Some comparative simulations are given to show the effectiveness of the proposed method.

Keywords

• Algebra
• Linear control systems
• Control system analysis and synthesis methods
• Stability in control theory
• Discrete control systems
• Time-varying control systems