Finite-time prescribed performance control of switched nonlinear systems with input quantisation

ABSTRACT

This paper investigates the finite-time performance control of a class of switched nonlinear systems with input quantisation, where the control input is quantised by a class of sector-bounded quantizers. By introducing a barrier Lyapunov function and a hyperbolic tangent function, a control scheme is proposed to achieve the practical finite-time stability with prescribed performance, and a new compensation is constructed for the effects of quantisation error. Furthermore, the proposed result is extended to the case that the quantisation parameters are unknown, and adaptive laws are proposed which do not require the knowledge on the bounds of these unknown parameters. A simulation example is provided to show the effectiveness of the proposed method.

Keywords:

• Finite-time control
• switched nonlinear systems
• input quantisation
• prescribed performance
• adaptive control

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61703310 and 61972288) and the Public welfare technology applied Interest Research Project of Zhejiang Province (Grant No. LGG18F010016).

Disclosure statement

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

Notes on contributors

Shipei Huang received the Ph.D. degree in Control Theory and Control Engineering from Nanjing University of Science and Technology, China, in 2017. He is currently a lecturer at Wenzhou University, China. His research interests include nonlinear systems, switched systems and two-dimensional systems.

Zhengbing Yan received the Ph.D. degree in Control Science and Engineering from Zhejiang University, China, in 2010. He is currently a lecture at Wenzhou University, China. His research interests include machine learning, fault diagnosis, process control and optimization.

Guoqiang Zeng received Ph.D. degree in Control Science and Engineering from Zhejiang University, China, in 2011. He is currently an associate professor with National-Local Joint Engineering Laboratory of Digitalize Electrical Design Technology, Wenzhou University, Wenzhou, China. His research interests include modeling, control and optimization of smart grids, computational intelligence and engineering practice.

Zhengjiang Zhang received the Ph.D. degree in Control Science and Engineering from Zhejiang University, China, in 2010. He is currently an associate professor at Wenzhou University, China. His research interests include data reconciliation, parameter estimation, process control, optimization, and power electronics.

Zhiliang Zhu received the Ph.D degree in Circuits and Systems from Hunan University, China, in 2018. He is currently working as an associate professor in Wenzhou University, and the academic backbone of the National-Local Joint Engineering Laboratory for Digitalize Electrical Design Technology. His research interests are broadly in the areas of state estimation and fault diagnosis of complex electromechanical systems and distributed networks.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61703310 and 61972288) and the Public welfare technology applied Research Project of Zhejiang Province (Grant No. LGG18F010016).