Adaptive Disturbance Attenuation by Output Feedback for a Class of Nonlinear Systems
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摘要: 研究了一类依赖于不可量测状态增长非线性系统的输出反馈自适应扰动抑制问题. 与现有文献不同, 所研究的系统具有更多的未知参数, 尤其是不确定控制系数. 为了解决该 问题, 引入了动态高增益K-滤波器, 进而构造了基于K-滤波器的状态观测器. 在输出反馈控制器的设计过程中, 引入了待定设计参数, 增加了设计的自由度. 结果表明, K-滤 波器的动态增益和设计参数的恰当选择可以保证闭环系统的全局稳定性, 从而实现系统 L2-增益意义的扰动抑制.Abstract: This paper investigates the problem of adaptive disturbance attenuation by output feedback for a class of nonlinear systems with unmeasured states dependent growth. Different from the existing references, the systems studied have more unknown parameters, especially uncertain control coefficients. To solve this problem, the dynamic high-gain K-filters are introduced, and a state observer is constructed based on the K-filters. In output feedback controller design process, to-be-determined design parameters are introduced, to add the design freedom. It is shown that the global stability of the closed-loop system can be guaranteed by the appropriate choice of the dynamic gain of the K-filters and the design parameters, and hence disturbance attenuation is achieved in the sense of L2-gain.
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Key words:
- Nonlinear systems /
- disturbance attenuation /
- K-filters /
- output feedback /
- adaptive control
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