Robust And Non-Fragile H_∞ Control For Descriptor Interval Systems

Robust Hm controller has achieved fruitful research results since it w-as broughtforward in 1980s by Zames However,due to various outside uncertainties,controllerparameters are also may be changed,and the changes will cause the system instability,then,the non-fragile controller w-as first proposed by Keel in 1997 Robust and non-fragile Hmcontrol theory not only study the uncertainty of the systems,but also consider thecontroller,has now-become one ofthe important theory in the stability research of systemsDescriptor interval systems is an important kind of uncertain descriptor systems,assame as nonlinear descriptor system,can more naturally describe the objective reality,andexist in real life widely Witll the wide application of computing technology．the researchof the theory of discrete system is also increasingly However,the study of robust and non-fragile Hm control problem for the descriptor discrete interval systems which also containstime-delay in the state and input and with nonlinear disturbance is little,and need to befurther improvedFirstly．the design problem of robust and non-fragile Hm state-feedback controller fora class of descriptor discrete interval systems with time-delay in the state and input isinvestigated Based on the Lyapunov theory,the sufficient condition for the existence ofrobust and non-fragile Hm controller and design methods are presented via linear matrixinequality Finally,a numerical example demonstrates the validity and feasibility of theproposed methodIn addition,based on the Lyapunov theory,the problem of robust and non-fragile Hmcontrol for a class of descriptor discrete interval systems with nonlinear perturbation isstudied By linear matrix inequality approach,a sufficient condition for the existence ofrobust and non-fragile Hm controller is given,which guarantees that for all admissibleuncertainties,the resulting closed-loop descriptor system is admissible and satisfies aprescribed Hm norm-bounded constrain Meanwhile,the design method of the statefeedback controller is proposed Finally,a numerical simulation show-s the feasibility ofthis approach Finally．the observer-based robust and non-fragile Hm control problem for a class ofdescriptor interval systems is discussed A non-fragile state feedback controller is designedsuch that the closed-loop system is robust stable and satisfies certain performance for alladmissible uncertainties And the corresponding observer is constructed by using thesolution of the linear matrix inequality Finally,a numerical simulation show-s theeffectiveness of this approach...