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Open AccessArticle

Multi-Model Reliable Control for Variable Fault Systems under LQG Framework

by Lei Liu 1, Fucai Qian 1,2,*, Guo Xie 1 and Min Wang 3
School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China
Autonomous Systems and Intelligent Control International Joint Research Center, Xi’an Technological University, Xi’an 710021, China
State Key Laboratory of Astronautic Dynamics, Xi’an 710043, China
Author to whom correspondence should be addressed.
Electronics 2019, 8(6), 632;
Received: 14 April 2019 / Revised: 23 May 2019 / Accepted: 31 May 2019 / Published: 5 June 2019
(This article belongs to the Section Systems & Control Engineering)
The problem of reliable control for variable fault systems under linear quadratic Gaussian (LQG) framework is studied in this paper. Firstly, a cluster of models is used to cover the dynamic behaviors of different fault modes of a system and, for each model, LQG control is implemented. By using the a posteriori probability of model innovation as the weight information, a multi-model reliable control (MMRC) is proposed. Secondly, it is proved that MMRC can enable the controller to learn the real operating mode of the system. When the controller is in a deadlock state, a deadlock avoidance strategy is given and its convergence of the a posteriori probability is proved. Finally, the validity of MMRC is verified by an example simulation of the lateral-directional control system of an aircraft. Simulation results show that MMRC guarantees an acceptable performance of the closed-loop system. In addition, since the controller fuses the control law of each model according to the weight information, when the system model is switched, the controller implements a soft switching, which avoids the jitter caused by frequent hard switching to the system. View Full-Text
Keywords: LQG; variable fault system; a posteriori probability; reliable controller LQG; variable fault system; a posteriori probability; reliable controller
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Liu, L.; Qian, F.; Xie, G.; Wang, M. Multi-Model Reliable Control for Variable Fault Systems under LQG Framework. Electronics 2019, 8, 632.

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