Recently, the non-linear observer design question is one of the research issuepaid much attention by many scholars. That researches are made successful andmost of them are aimed at Lipschitz non-linear-system state design. Studies haveshown that use Lipschitz only to design non-linear-system observer asymptotic sta-bility can not be achieved.Major fndings are as followIn the situation of know the upper bound of adaptive observer parameters,use one-sided Lipschitz condition replace the usual condition, research for a class ofLipschitz nonlinear systems with full-order, reduced-order adaptive observe design.Improvement of existing systems, use LMI technology to select gaining ma-trix,in order to change the existence problem of the progressive stabilize observerto the feasibility problem of LMI.Quasi-one-sided Lipschitz condition to be replaced with the usual conditions ofLipschitz nonlinear systems to establish the observer of fault diagnosis. In the end,to prove the stability and the uniformly boundness of the observer. |