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Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems

机译：SISO Markovian跳跃非线性系统的全状态线性化和镇定

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摘要

This paper investigates the linearization and stabilizing control design problems for a class of SISO Markovian jump nonlinear systems. According to the proposed relative degree set definition, the system can be transformed into the canonical form through the appropriate coordinate changes followed with the Markovian switchings; that is, the system can be full-state linearized in every jump mode with respect to the relative degree set {n,..., n}. Then, a stabilizing control is designed through applying the backstepping technique, which guarantees the asymptotic stability of Markovian jump nonlinear systems. A numerical example is presented to illustrate the effectiveness of our results.
机译：本文研究了一类SISO马氏跳跃非线性系统的线性化和稳定控制设计问题。根据提出的相对度集定义，可以通过跟随马氏切换的适当坐标变化将系统转换为规范形式。也就是说，系统可以在每个跳跃模式下相对于相对度集合{n，...，n}进行全态线性化。然后，通过应用反推技术设计了一种稳定控制，保证了马尔可夫跳跃非线性系统的渐近稳定性。数值例子说明了我们的结果的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第3期|931695.1-931695.9|共9页
  • 作者

    Zhongwei Lin; Jizhen Liu; Yuguang Niu;

  • 作者单位

    State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China;

    State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China;

    State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China;

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