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Adaptive Control of a Class of Switched Nonlinear System with Partial State Constraints Using a Barrier Lyapunov Function

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  • Enchang Cui
  • Yuanwei Jing
  • Xiaoting Gao

Abstract

This paper discusses partial state constraint adaptive tracking control problem of switched nonlinear systems with uncertain parameters. In order to ensure boundedness of the outputs and prevent the states from violating the constraints, a barrier Lyapunov function (BLF) is employed. Based on backstepping method, an adaptive controller for the switched system is designed. Furthermore, the state-constrained asymptotic tracking under arbitrary switching is performed. The closed-loop signals keep bounded when the initial states and control parameters are given. Finally, examples and simulation results are reported to illustrate the effectiveness of the proposed controller.

Suggested Citation

  • Enchang Cui & Yuanwei Jing & Xiaoting Gao, 2017. "Adaptive Control of a Class of Switched Nonlinear System with Partial State Constraints Using a Barrier Lyapunov Function," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-7, August.
    • Handle: RePEc:hin:jnlmpe:7368092
    DOI: 10.1155/2017/7368092
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