一类非线性系统的H∞鲁棒控制
H∞ Robust Control of a Class of Nonlinear Systems
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摘要: 考虑了在实际中具有工程应用背景的一类非线性不确定系统的H∞鲁棒控制问题.基 于Hamilton-Jacobi不等式,给出了这类非线性系统渐近稳定且L2增益有限的充分条件.在这个 条件下,得到了确保闭环系统满足H∞鲁棒扰动衰减性能准则的状态反馈控制器.
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关键词:
- 非线性系统 /
- H∞理论 /
- Hamilton-Jacobi不等式 /
- H∞鲁棒扰动衰减
Abstract: The H∞ robust control problem of a class of uncertain nonlinear systems with engineering background is researched. Based on Hamilton-Jacobi inequality, a sufficient condition is presented such that the class of nonlinear systems is asymptotically stable and its L2-gain is limitable. Under the condition, a state feedback controller is given such that the close-loop systems statisfy H∞ robust disturbance attenuation performance.
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