Output Tracking Control of Random Nonlinear Time-Varying Systems

Ruitao Wang, Hui Wang, Wuquan Li and Ben Niu
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Ruitao Wang: School of Mathematics and Statistics Sciences, Ludong University, Yantai 264025, China
Hui Wang: School of Mathematics and Statistics Sciences, Ludong University, Yantai 264025, China
Wuquan Li: School of Mathematics and Statistics Sciences, Ludong University, Yantai 264025, China
Ben Niu: School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China

Mathematics, 2022, vol. 10, issue 14, 1-13

Abstract: This paper is concerned with the output tracking control problem for random nonlinear systems with time-varying powers. A distinct feature of this paper is that we consider time-varying powers and the second-order moment process simultaneously, which is more practical in real applications than the existing results where only one factor is considered. We propose a new design scheme, which ensures that the fourth moment of the tracking error can be adjusted to be arbitrarily small and all the states of the closed-loop system are bounded in probability. Finally, a numerical simulation is given to demonstrate the feasibility of the control idea.

Keywords: random nonlinear systems; time-varying powers; tracking (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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