State-dependent scaling approach to global control of interconnected nonlinear dynamic systems
State-dependent scaling approach to global control of interconnected nonlinear dynamic systems
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用于互连非线性动态系统全局控制的状态相关标度方法
DOI：
10.1109/acc.2001.946202
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
H. Ito
中科院分区：
文献类型：
--
作者：
H. Ito
本文提出了一类关联非线性系统的/spl Lscr//sub 2/扰动抑制全局镇定问题的一种新方法。新完成的状态相关标度的一个创新的推广，它允许一个非线性增益有界的动态系统，不必要有有限的线性增益处理互连。如果非线性系统是一个严格反馈系统和一个不可测状态变量的不确定时变动态系统的互连，则通过部分状态反馈控制，可以将扰动对被控输出的影响衰减到任意小的水平，并具有全局渐近稳定性。这种部分状态反馈控制器的设计过程中描述的状态相关的尺度函数的递归选择的形式。状态相关标度方法提供了灵活性，使得非线性控制器在平衡点处与鲁棒线性/spl Hscr//sup /spl infin//控制相同。
This paper presents a novel approach to the problem of global stabilization with /spl Lscr//sub 2/ disturbance attenuation for a class of interconnected nonlinear systems. An innovative generalization of state-dependent scaling is newly accomplished, which allows one to deal with interconnection of nonlinear-gain bounded dynamic systems which unnecessarily have finite linear-gain. The effect of the disturbance on the controlled output can be attenuated to an arbitrarily small level with global asymptotic stability by partial-state feedback control if the nonlinear system is an interconnection of a strict-feedback system and a uncertain time-varying dynamics of unmeasurable state variables. The procedure of designing such partial-state feedback controllers is described in the form of recursive selection of state-dependent scaling functions. The state-dependent scaling approach offers flexibility to render the nonlinear controller identical with robust linear /spl Hscr//sup /spl infin// control at the equilibrium.