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摘要: 对Lipschitz非线性系统降维观测器进行了讨论.首先考虑了降维观测器存在之条件, 然后给出了此条件下的降维观测器的具体设计方法,该设计方法基于与非线性函数的Lipschitz 常数有关的代数Riccati不等式的求解.最后,针对一个具体实际控制模型的仿真,验证了文中 所提出之方法的实用性.
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关键词:
- 降维观测器 /
- Riccati方程 /
- Lipschitz条件 /
- 非线性
Abstract: The issues related to the reduced-order observers for Lipschitz nonlinear systems are discussed. First, the existence condition for the reduced-order observer is considered. Secondly, a design method of the reduced-order observer under this existence condition is developed. The design method is based on the solution of algebraic Riccati equation related to the Lipschitz constant of the nonlinear part of the system. Finally, the proposed observer is applied to an actual control system and simulation results show that the design approach given by this paper is viable.-
Key words:
- Reduced-order observer /
- Riccati equation /
- Lipschitz conditions /
- nonlinearity
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