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Bounded control of feedforward nonlinear systems subject to input time‐delay
International Journal of Robust and Nonlinear Control ( IF 3.9 ) Pub Date : 2020-07-07 , DOI: 10.1002/rnc.5098 Xuefei Yang 1, 2 , Bin Zhou 3 , James Lam 2 , Yong Cao 1
International Journal of Robust and Nonlinear Control ( IF 3.9 ) Pub Date : 2020-07-07 , DOI: 10.1002/rnc.5098 Xuefei Yang 1, 2 , Bin Zhou 3 , James Lam 2 , Yong Cao 1
Affiliation
This article is concerned with the global stabilization problem of a family of feedforward nonlinear time‐delay systems whose linearized system consists of multiple distinct oscillators. To fully utilize the delayed information and maintain the state decoupling property in the controller design, the considered nonlinear feedforward system is first transformed into a new system which contains time delays in both its input and states based on a novel model transformation containing time delays, and then the stabilizing saturated controller for the transformed system is designed based on the recursive design method. Meanwhile, explicit stability conditions are also provided. When the linearized system is a cascade of multiple oscillators and multiple integrators, a modified saturated feedback control utilizing not only the current state but also the delayed state is also established for the corresponding global stabilization problem. Two examples, including a practical one, are given to show the effectiveness and superiority of the proposed approaches.
中文翻译:
输入时滞的前馈非线性系统的有界控制
本文关注一类前馈非线性时滞系统的全局稳定问题,该系统的线性化系统由多个不同的振荡器组成。为了充分利用延迟信息并在控制器设计中保持状态解耦特性,首先将考虑的非线性前馈系统转换为一个新系统,该系统基于包含时间延迟的新型模型转换将输入和状态都包含时间延迟,并且然后基于递归设计方法设计了变系统的稳定饱和控制器。同时,还提供了明确的稳定性条件。当线性系统是由多个振荡器和多个积分器组成的级联时,还针对相应的全局稳定问题建立了不仅利用当前状态而且利用延迟状态的改进的饱和反馈控制。给出了两个例子,包括一个实际例子,以说明所提出方法的有效性和优越性。
更新日期:2020-07-07
中文翻译:
输入时滞的前馈非线性系统的有界控制
本文关注一类前馈非线性时滞系统的全局稳定问题,该系统的线性化系统由多个不同的振荡器组成。为了充分利用延迟信息并在控制器设计中保持状态解耦特性,首先将考虑的非线性前馈系统转换为一个新系统,该系统基于包含时间延迟的新型模型转换将输入和状态都包含时间延迟,并且然后基于递归设计方法设计了变系统的稳定饱和控制器。同时,还提供了明确的稳定性条件。当线性系统是由多个振荡器和多个积分器组成的级联时,还针对相应的全局稳定问题建立了不仅利用当前状态而且利用延迟状态的改进的饱和反馈控制。给出了两个例子,包括一个实际例子,以说明所提出方法的有效性和优越性。