Uncertain Nonlinear Discrete Time Delay Systems Robust H ¡Þ Filter Design And Applications

In industrial systems the time-delay Phenomenon is very common, such as belt-gear transmission,pipes feed,miracle slowly on-line analysers and so on.The time-delay sys-tems is a hot issue in the field of control theory and control engineering.Lots of scholars pay more attention to the filter problem about time-delay system for there usually exist some unknown interference.In this paper,we mainly discussed robust filter control of three classes of nonlinear systems.This paper mainly consists of 5 chapters.Chapter 1,the research background and significance are introduced,and the phylogeny of this whole field and the main results in existence are summarized respectively. The preparative knowledge is also presented roundly.Chapter 2,considers a many cell type of uncertain nonlinear time-delay systems.The parameters are assumed to be unknown but belonging to known convex compact of polytope type,our aim is to design stable H∞filtering.This filter can guarantee that the whole systems signals asymptotically track the desired signals.A simulation example further demonstrates the efficiency of the control scheme.Chapter 3,considers a Norm-bounded of uncertain nonlinear time-delay systems.The Lyapunov stability theory is used to analysis the systems.The design idea of the guaranteed cost filter is used.The existence of H∞filters can be reduced to the solvability of linear matrix inequalities.A simulation example further demonstrates the efficiency of the control scheme.Chapter 4,the robust fault detection filter(RFDF)design problems are studied for non-linear time-delay systems with unknown inputs.The reference residual model designed ac-cording to the new performance index is an optimal generator which account distrubances and simultaneously. When the uncertainties of the system are zero, the problem of the filter asymptotical tracking control is designed.The existence conditions of the robust fault detection filter for the systems which we researched are used in terms of LMI formulation.Chapter 5,summarizes the main results of this paper and a prospect of the future research work.