Stabilization of invariant sets for nonlinear non-affine systems
Stabilization of invariant sets for nonlinear non-affine systems
复制标题
非线性非仿射系统不变集的稳定性
DOI：
10.1016/s0005-1098(00)00077-7
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
Alexander L. Fradkov
中科院分区：
文献类型：
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作者：
A. Shiriaev;Alexander L. Fradkov
研究了一般非线性受控系统不变集的全局和局部镇定问题。提出了新的状态反馈镇定控制器和目标集在指定吸引域下渐近稳定的充分条件。所得到的结果的证明是基于对“仿射”控制系统的速度梯度（或“Jurdjevic-Quinn”）控制器的闭环系统的ω-极限集的详细分析。给出了两个说明性的例子。
The problem of the global and local stabilization of invariant sets for general nonlinear controlled systems is considered. New state feedback stabilizing controllers and sufficient conditions of asymptotic stability of a goal set with the specified region of attraction are proposed. The proofs of the obtained results are based on the detailed analysis of the ω-limit sets of the closed-loop system with the speed–gradient (or “Jurdjevic–Quinn”) controllers for “affinized” controlled system. Two illustrating examples are given.