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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
1
School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, China
2
Autonomous Systems and Intelligent Control International Joint Research Center, Xi’an Technological University, Xi’an 710021, China
3
State Key Laboratory of Astronautic Dynamics, Xi’an 710043, China
*
Author to whom correspondence should be addressed.
Electronics 2019, 8(6), 632; https://doi.org/10.3390/electronics8060632
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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