Regular Papers

International Journal of Control, Automation and Systems 2019; 17(11): 2807-2818

Published online July 26, 2019

https://doi.org/10.1007/s12555-019-0028-2

© The International Journal of Control, Automation, and Systems

Adaptive Output Feedback Control for Switched Stochastic Nonlinear Systems with Time-varying Parameters and Unknown Output Functions

Hui Ye, Bin Jiang *, and Hao Yang

Nanjing University of Aeronautics & Astronautics

Abstract

In this paper, we discuss the adaptive output feedback control problem for switched stochastic nonlinear systems which involve uncertain time-varying parameters and unknown output functions. The drift terms together with diffusion terms meet the conditions for linear growth with unknown rate. Firstly, an adaptive output feedback controller is proposed based on the backstepping method. Then, by using the stochastic Lyapunov stability theorem, all signals of the closed-loop system are proven to be bounded in probability and the system states are almost certain to reach the origin under arbitrary switching. Finally, a numerical example is provided to test the reliability of the proposed method

Keywords Adaptive control, nonlinear systems, output feedback, switched stochastic systems

Article

Regular Papers

International Journal of Control, Automation and Systems 2019; 17(11): 2807-2818

Published online November 1, 2019 https://doi.org/10.1007/s12555-019-0028-2

Copyright © The International Journal of Control, Automation, and Systems.

Adaptive Output Feedback Control for Switched Stochastic Nonlinear Systems with Time-varying Parameters and Unknown Output Functions

Hui Ye, Bin Jiang *, and Hao Yang

Nanjing University of Aeronautics & Astronautics

Abstract

In this paper, we discuss the adaptive output feedback control problem for switched stochastic nonlinear systems which involve uncertain time-varying parameters and unknown output functions. The drift terms together with diffusion terms meet the conditions for linear growth with unknown rate. Firstly, an adaptive output feedback controller is proposed based on the backstepping method. Then, by using the stochastic Lyapunov stability theorem, all signals of the closed-loop system are proven to be bounded in probability and the system states are almost certain to reach the origin under arbitrary switching. Finally, a numerical example is provided to test the reliability of the proposed method

Keywords: Adaptive control, nonlinear systems, output feedback, switched stochastic systems

IJCAS
July 2024

Vol. 22, No. 7, pp. 2055~2340

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