title: Observer-based reliable stabilization of uncertain linear systems subject to actuator faults, saturation, and bounded system disturbances.
abstract: A matrix inequality approach is proposed to reliably stabilize a class of uncertain linear systems subject to actuator faults, saturation, and bounded system disturbances. The system states are assumed immeasurable, and a classical observer is incorporated for observation to enable state-based feedback control. Both the stability and stabilization of the closed-loop system are discussed and the closed-loop domain of attraction is estimated by an ellipsoidal invariant set. The resultant stabilization conditions in the form of matrix inequalities enable simultaneous optimization of both the observer gain and the feedback controller gain, which is realized by converting the non-convex optimization problem to an unconstrained nonlinear programming problem. The effectiveness of proposed design techniques is demonstrated through a linearized model of F-18 HARV around an operating point.
authors.affiliation: College of Mechatronic Engineering and Automation, National University of Defense Technology, 47 YanWaChi Street, Changsha, Hunan 410073, PR China; Department of Mechanical and Industrial Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., Montreal, Quebec, Canada H3G 1M8. Electronic address: fjhcom@gmail.com.
authors.forename: Jinhua
authors.initials: J
authors.lastname: Fan
authors.forename: Youmin
authors.initials: Y
authors.lastname: Zhang
authors.forename: Zhiqiang
authors.initials: Z
authors.lastname: Zheng
keywords: Actuator saturation; Matrix inequality; Nonlinear programming; Observer; Reliable stabilization