Simultaneous fault estimation and fault-tolerant tracking control for uncertain nonlinear discrete-time systems

ABSTRACT

This paper deals with simultaneous fault estimation and control for a class of nonlinear systems with parameter uncertainty, which is described by Takagi–Sugeno (T–S) fuzzy model with parameter uncertainties and unknown disturbance. In this paper, a fuzzy reference model is used to generate error dynamic for tracking control. By considering actuator fault as an auxiliary state vector, we construct an augmented error system and propose a fault estimator/controller to achieve simultaneous fault estimation and fault-tolerant tracking control. H_∞ approach is used in the design of estimator/controller to attenuate the effect of the unknown disturbance and parameter uncertainties. The design conditions are formulated into a set of linear matrix inequalities (LMIs), which can be efficiently solved. Finally, a pitch-axis nonlinear missile model is used to illustrate the effectiveness of the proposed method.

KEYWORDS:

• Simultaneous fault estimation and control
• nonlinear systems
• Takagi–Sugeno (T–S) model
• H_∞ approach

Acknowledgments

The authors would like to thank the anonymous reviewers and the associate editor for their helpful remarks, which improved the quality of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partially supported by National Natural Science Foundation of China [grant number 61273162], [grant number 61403104] and the Fundamental Research Funds for the Central Universities [grant number HIT.KLOF.2015.076].

Notes on contributors

Meng Zhou

Meng Zhou received her B.S. degree from the Harbin Engineering University, Harbin, China, in 2011 and her M.S. degree from Harbin Institute of Technology, Harbin, China, in 2013. She is currently a Ph.D. candidate with the Department of Control Science and Engineering in Harbin Institute of Technology. Her main research interests focus on model-based fault diagnosis.

Zhenhua Wang

Zhenhua Wang received his B.S. degree from the Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2008 and his M.S. and Ph.D. degree from Harbin Institute of Technology, Harbin, China, in 2010 and 2014, respectively. He is now a Lecturer with the Department of Control Science and Engineering in Harbin Institute of Technology. His main research interests include fault diagnosis and fault-tolerant control.

Yi Shen

Yi Shen received his B.S., M.S. and Ph.D. degrees from the Harbin Institute of Technology in 1985, 1988 and 1995, respectively. He is a Professor with the Department of Control Science and Engineering, Harbin Institute of Technology. His current research interests include fault diagnosis for control systems, flight vehicle control and ultrasound signal processing.