Control separation based fault accommodation for flexible hypersonic vehicles

Abstract

This paper addresses a fault accommodation issue for flexible hypersonic vehicles by the static output feedback. Firstly, a longitudinal dynamics for hypersonic vehicles is established in the ODE-beam cascade form and the distributed fault model is built. Next, a novel fault accommodation scheme is developed to achieve fault accommodation and vibration suppression. Such a control strategy is based on the control separation formulation: one component is for accommodating the distributed fault, another one is for the closed-loop stability. The input-to-state stability of the closed-loop system is analysed by using the direct Lyapunov method and bilinear matrix inequalities technique. Then, a new algorithm is provided to obtain the control gain matrices of the fault-tolerant control law. Finally, the simulation results are given to illustrate the effectiveness of the theoretical results.

Keywords:

• Flexible hypersonic vehicle
• Euler–Bernoulli beam equation
• distributed fault
• fault accommodation
• input-to-state stability

Acknowledgements

This work is supported in part by the National Natural Science Foundation of China under Grant 61533009 and Grant 61773201, in part by the Fundamental Research Funds for the Central Universities under Grant NC2020002 and Grant NP2020103, in part by the 111 project under Grant B20007, and in part by the Funding of Jiangsu Innovation Program for Graduate Education under Grant KYCX17_0271.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Notes

1 Strictly speaking, this is a functional, but we refer to it simply as a ‘Lyapunov function’ throughout the paper.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant numbers 61533009, 61622304, 62073165], Natural Science Foundation of Jiangsu Province [BK20160035], Funding of Jiangsu Innovation Program for Graduate Education [grant KYCX17_0271] and Fundamental Research Funds for the Central Universities [grant numbers NE2014202, NE2015002].

Notes on contributors

Dong Zhao

Dong Zhao received the B.S. degree in automation engineering and the M.S. degree in control theory and control engineering from Nanjing University of Aeronautics and Astronautics (NUAA), Nanjing, China, in 2013 and 2016, respectively. He is currently pursuing the Ph.D. degree with the NUAA, Nanjing, China. His current research interests include fault-tolerant control of cascade and interconnected distributed parameter systems and their applications.

Bin Jiang

Bin Jiang received the Ph.D. degree in automatic control from Northeastern University, Shenyang, China, in 1995. He had ever been a Post-Doctoral Fellow, a Research Fellow, an Invited Professor, and a Visiting Professor in Singapore, France, USA, and Canada, respectively. He is currently Chair Professor of Cheung Kong Scholar Program with the Ministry of Education and the Vice President of Nanjing University of Aeronautics and Astronautics, Nanjing, China. He has authored eight books and over 200 referred international journal papers and conference papers. His current research interests include intelligent fault diagnosis and fault tolerant control and their applications to helicopters, satellites, and high-speed trains. He is a Fellow of IEEE.

Hao Yang

Hao Yang received Ph.D. degrees in automatic control from University de Lille 1: Sciences et Technologies, France, and Nanjing University of Aeronautics and Astronautics (NUAA), China, both in 2009. Since 2009, he joined College of Automation Engineering in NUAA, where he is currently a full professor. His current research interests include stability analysis and fault tolerant control of switched, interconnected and network systems with their applications. Dr. Yang has published two books and more than 60 international journal papers. He is a Senior Member of IEEE.

Gang Tao

Gang Tao received his B.S. (EE) degree from University of Science and Technology of China in 1982, M.S. (EE, CpE and APMA) degrees and Ph.D. (EE) degree from University of Southern California during 1984-1989. He is currently a professor at University of Virginia, USA. He worked in the areas of adaptive control, with particular interests in adaptive control of systems with multiple inputs and multiple outputs and with nonsmooth nonlinearities and actuator failures, in stability and robustness of adaptive control systems, and in passivity characterizations of control systems. He has authored or co-authored six books, and over 350 technical papers and book chapters. His current research interests include adaptive control of systems with uncertain actuator failures and nonlinearities, with structural damage and sensor uncertainties and failures, adaptive approximation based control, and resilient aircraft and spacecraft flight control applications. He is a Fellow of IEEE.