L2-gain analysis and control of saturated switched systems with a dwell time constraint

• Published in: Nonlinear dynamics Vol. 80; no. 3; pp. 1231 - 1244
• Main Authors: Zhong, Guang-Xin, Yang, Guang-Hong
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.05.2015
• Subjects: Automotive Engineering; Classical Mechanics; Control; Dynamical Systems; Engineering; Mechanical Engineering; Original Paper; Vibration; Switched systems; State-dependent switching; Output feedback control; Dwell time; Actuator saturation
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-015-1939-y

This paper investigates the L 2 -gain analysis and control problem for switched systems with actuator saturation. A minimal dwell time constraint is first introduced, which avoids possible arbitrarily fast switching. Then, to satisfy the mentioned constraint, a switching strategy depending only on a lower bound of the dwell time and partial measurable states of the closed-loop system is developed in output feedback framework, which extends previous results in state feedback framework. Further, under the proposed switching strategy, time-varying hull controllable regions and saturated output feedback controllers working on them are constructed such that the closed-loop system has a prescribed L 2 -gain. Meanwhile, the states of the system starting from the origin will remain inside a time-varying ellipsoid determined by a discretized Lyapunov matrix function. In addition, the resulting ellipsoid is also proven to be between two time-invariant ellipsoids. A solution of the considered problem is given via a linear matrix inequality formulation. Finally, an example is exploited to illustrate the effectiveness of the theoretical results.