Reconfigurability evaluation method for input-constrained control systems

doi:10.23919/JSEE.2021.000087

Journal of Systems Engineering and Electronics ›› 2021, Vol. 32 ›› Issue (5): 1023-1030.doi: 10.23919/JSEE.2021.000087

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Reconfigurability evaluation method for input-constrained control systems

Yuanyuan TU^1,²(), Dayi WANG^2,*(), Wenbo LI¹()

¹ Beijing Institute of Control Engineering, China Academy of Space Technology, Beijing 100190, China
² Beijing Institute of Spacecraft System Engineering, China Academy of Space Technology, Beijing 100190, China

Received:2020-12-31 Online:2021-10-18 Published:2021-11-04
Contact: Dayi WANG E-mail:tyyfti@163.com;dayiwang@163.com;liwenbo_bice@163.com
About author:|TU Yuanyuan was born in 1992. She received her B.E. degree in flight vehicle design and engineering from Harbin Institute of Technology in 2014, and M.E. and Ph.D. degree in control science and engineering from Beijing Institute of Control Engineering, China Academy of Space Technology in 2017 and 2021, respectively. She is currently pursuing her Ph.D. degree at Beijing Institute of Control Engineering. From 2019 to 2020, she was a joint training Ph.D. student with the University of Duisburg-Essen, Duisburg, Germany. She is currently working at Beijing Institute of spacecraft system Engineering Her research interests include fault tolerant control, reconfigurability evaluation and design for satellite control systems, spacecraft attitude control and optimal control. E-mail: tyyfti@163.com||WANG Dayi was born in 1973. He received his B.E., M.E., and Ph.D. degrees from Harbin Institute of Technology in 1995, 1997, and 2000, respectively. From 2003 to 2016, he was a professor with Beijing Institute of Control Engineering, China Academy of Space Technology. He is currently a professor with Beijing Institute of Spacecraft System Engineering, China Academy of Space Technology. His research interests include autonomous guidance, navigation and control, fault diagnosis, and system reconfiguration for spacecraft. E-mail: dayiwang@163.com||LI Wenbo was born in 1984. He received his Ph.D. degree from Harbin Institute of Technology, Harbin, China, in 2012. He is currently a senior engineer with Beijing Institute of Control Engineering, China Academy of Space Technology. He was a recipient of the National Natural Science Fund for Excellent Young Scholars in 2020. His research interests include fault diagnosis, fault diagnosability evaluation, and design for satellite control systems. E-mail: liwenbo_bice@163.com
Supported by:
This work was supported by the National Natural Science Funds for Distinguished Young Scholars of China (61525301), the National Natural Science Fund for Excellent Young Scholars of China (62022013), and the National Natural Science Foundation of China (61690215)

Abstract

Abstract:

This paper proposes a quantitative reconfigurability evaluation method for control systems with actuator saturation and additive faults from the perspective of system stability. Placing the saturated feedback law in the convex hull of a group of auxiliary linear controls, the sufficient reconfigurability conditions for the system under additive faults are derived using invariant sets. These conditions are then expressed as linear matrix inequalities (LMIs) and applied to quantify the degree of reconfigurability for the fault system. The largest fault magnitude for which the system can be stabilized, the largest initial state domain from which all the trajectories are convergent, and the minimum final state domain to which the trajectories will converge are investigated. The effectiveness of the proposed method is illustrated through an application example.

Key words: control reconfigurability, additive fault, actuator saturation, invariant set, fault-tolerant control

Yuanyuan TU, Dayi WANG, Wenbo LI. Reconfigurability evaluation method for input-constrained control systems[J]. Journal of Systems Engineering and Electronics, 2021, 32(5): 1023-1030.

Figures/Tables 4

References 22

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Reconfigurability evaluation method for input-constrained control systems

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