Regular Papers

International Journal of Control, Automation, and Systems

Published online March 28, 2024

© The International Journal of Control, Automation, and Systems

Global Output Feedback Stabilization for Switched Nonlinear Systems Under Arbitrary Switching

Shuyan Zhan, Xianglei Jia*, and Chengdi Xiang

Abstract

Global stabilization of a class of switched nonlinear systems with unknown arbitrarily switched output function is achieved via output feedback. A couple of improved high-gain observer and output feedback control law are proposed by using dual high-gain scaling technique. In the presence of non-differentiable output function, a common dynamic output feedback controller is established, where a generalized Lyapunov inequality is introduced with explicit calculation. By constructinga single Lyapunov function for all subsystems, it shows the closed-loop switched systems are globally asymptotically stable under arbitrary switching. Ultimately, two examples are given to illustrate the effectiveness of our control scheme.

Keywords Common Lyapunov function, output feedback stabilization, switched nonlinear systems,  unknown output function.

Article

Regular Papers

International Journal of Control, Automation, and Systems -0001; ():

Published online November 30, -0001

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

Global Output Feedback Stabilization for Switched Nonlinear Systems Under Arbitrary Switching

Shuyan Zhan, Xianglei Jia*, and Chengdi Xiang

Abstract

Global stabilization of a class of switched nonlinear systems with unknown arbitrarily switched output function is achieved via output feedback. A couple of improved high-gain observer and output feedback control law are proposed by using dual high-gain scaling technique. In the presence of non-differentiable output function, a common dynamic output feedback controller is established, where a generalized Lyapunov inequality is introduced with explicit calculation. By constructinga single Lyapunov function for all subsystems, it shows the closed-loop switched systems are globally asymptotically stable under arbitrary switching. Ultimately, two examples are given to illustrate the effectiveness of our control scheme.

Keywords: Common Lyapunov function, output feedback stabilization, switched nonlinear systems, , unknown output function.

IJCAS
April 2024

Vol. 22, No. 4, pp. 1105~1460

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IJCAS

eISSN 2005-4092
pISSN 1598-6446