Robust quadratic stabilization with integrity for discrete-time descriptor system. (Chinese. English summary) Zbl 1171.93383

Chen, Yue-peng; Zhou, Zu-de; Liu, Huan-bin; Zhang, Qing-ling; Yao, Bo

Control Theory Appl. 23, No. 1, 14-18 (2006).

Summary: Robust quadratic stabilization with integrity is explored for an uncertain time-invariant discrete-time descriptor system. Firstly, a sufficient and necessary condition for an uncertain discrete-time descriptor system to be robust quadratically stable is given. Then, in terms of generalized algebraic Riccati inequality, the state feedback is designed such that the resultant uncertain discrete-time closed-loop descriptor system is robustly quadratically stable. Furthermore, attention is focused on the design of state feedback which guarantees the resultant uncertain discrete-time closed-loop descriptor system to be robustly quadratically stable even when part of the actuators failure, i.e. the controlled descriptor system possesses integrity. Simultaneous, the problem of how to solve the generalized algebraic Riccati inequality is also discussed. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

MSC:

93D21	Adaptive or robust stabilization
93C55	Discrete-time control/observation systems
93C41	Control/observation systems with incomplete information

Keywords:

integrity; quadratic stabilization; uncertain discrete-time descriptor system; actuator