Simultaneous Quadratic Stabilization for Discrete-Time Nonlinear Systems

Wu J.-L.

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Simultaneous Quadratic Stabilization for Discrete-Time Nonlinear Systems

机译：离散非线性系统的同时二次稳定

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摘要

A constructive method is developed for designing simultaneously quadratically stabilizing state feedback controllers for a collection of single-input discrete-time nonlinear systems. In the context of quadratic control Lyapunov functions a necessary and sufficient condition for the existence of simultaneously quadratically stabilizing state feedback laws is derived. An explicit formula for constructing continuous simultaneously stabilizing controllers is presented. The obtained results are verified by a numerical example.

机译：开发了一种建设性的方法，用于为一组单输入离散时间非线性系统同时设计二次稳定状态反馈控制器。在二次控制的情况下，李雅普诺夫（Lyapunov）函数可以为同时存在二次稳定状态反馈定律提供必要的充分条件。给出了构造连续同时稳定控制器的显式公式。数值实例验证了所获得的结果。

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来源
《Automatic Control, IEEE Transactions on》 |2010年第6期|共6页
作者
Wu J.-L.;
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作者单位

Electrical Engineering Department, National Taiwan Ocean University, Keelung, Taiwan;

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原文格式 PDF
正文语种 eng
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关键词
Control Lyapunov functions (CLFs); discrete-time systems; nonlinear systems; simultaneous stabilization;

机译：控制李雅普诺夫函数（CLF）;离散系统;非线性系统;同时稳定;

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Simultaneous Quadratic Stabilization for Discrete-Time Nonlinear Systems

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