一类广义非线性系统状态观测器的设计

本文研究了一类非线性广义系统的状态观测器问题，在理想系统（不存在干扰、不确定项和非线性项的广义线性定常系数）完全可观测的条件下，根据不同的情况，分别利用广义系统解的基本理论和正常系统Ｌｙａｐｕｎｏｖ稳定性定理，对所研究的广义非线性系统分别设计了全阶的奇异Ｌｕｅｎｂｅｒｇｅｒ型非线性状态观测器和降价的正常线性或非线性变结构状态观测器，从所得结论可知，在系统结构确定的情况下，只要非线性满足Ｌｉｐｓｈｉ

THE DESIGN OF STATE OBSERVER FOR A CLASS OF NONLINEAR SINGULAR SYSTEM

In this paper, the problem of state observer for a class of nonlinear singular system is studied. Under the condition that ideal system (singular linear constant system without disturbance,uncertainties and nonlinear) is completely obserable,full order singular Luenberger form nonlinear observer and reduced order normal linear or nonlinear variable structure observer are designed, respectively,by using foundation theories of singular system solution and Lyapunov stability theories based on different case. It is shown that,when the system structure is certain,there exists singular full order Luenberger nonlinear observer if nonlinear satisfies Lipschitz condition. When the system has disturbance and uncertainties,there exists reduced order normal linear or variable structure nonlinear robust observer.