Sliding Mode Controller Design For TS Fuzzy Descriptor Systems  Posted on:20190902  Degree:Doctor  Type:Dissertation  Country:China  Candidate:J H Li  Full Text:PDF  GTID:1488306344959239  Subject:Control theory and control engineering  Abstract/Summary:  PDF Full Text Request  Sliding mode control is an important method in robust control field.Its merits involve the tractability and the invariance to parameter uncertainties and external disturbances.After decades of development,sliding mode control theory of normal systems has been initially formulated.Although the sliding mode control problem of descriptor systems and TS fuzzy systems has also received considerable attention,it has been recently shown that several crucial issues remain unsolved.As a result,it is still an important task to develop sliding mode control methods for descriptor systems and TS fuzzy systems.Based on the previous work,this thesis further develops sliding mode control method for linear and TS fuzzy descriptor systems.The main efforts will be focused on the establishment of descriptor regular form,the development of systematic ways to design sliding mode controller and observer for linear descriptor systems,the design of fuzzy switching functions for TS fuzzy descriptor systems and the observerbased sliding mode controller designs for both linear and TS fuzzy descriptor systems.The notion of descriptor regular form and fuzzy switching function are introduced.Systematic ways to design sliding mode controller/observer for linear descriptor system and approach to design fuzzy feedback gain based integraltype switching function are presented.The main contributions of this thesis are summarized as follows:(1)The sliding mode controller and observer design problems of linear descriptor systems are investigated via the linear switching function.A descriptor regular form,which is the counterpart of the regular form,is first introduced in the linear switching function case.Based on the proposed descriptor regular form and highorder sliding mode control technique,systematic ways to design sliding mode controller and descriptor sliding mode observer for descriptor system are given.Finally,it shows that the resulting closedloop system,which is composed of the plant,the sliding mode controller and the descriptor sliding mode observer,satisfies the separation principle.This means that the sliding mode controller and the descriptor sliding mode observer can be separably designed.(2)The sliding mode controller and observer design problems of linear descriptor systems are studied through the integraltype switching function.A descriptor regular form,which is another extension of regular form,is first established in the integraltype switching function case.Based on the proposed descriptor regular form and highorder sliding mode control technique,the reducedorder observer,descriptor sliding mode observer and observerbased sliding mode controller generated by them are designed in a systematic way.It shows that the resulting closedloop system,which is composed of the plant,the sliding mode controller and the reducedorder observer/descriptor sliding mode observer,satisfies the separation principle.Finally,a brief discussion is given to show that the separation principle also holds for the resulting closedloop system,which is composed of the plant,the sliding mode controller and the normal sliding mode observer.(3)The problem of fuzzy switching function design for TS fuzzy descriptor systems is addressed.Based on the descriptor regular form,a descriptor fuzzy regular form is defined.Then a linear switching function,a parallel distributed compensation(PDC)fuzzy and a nonparallel distributed compensation(NonPDC)fuzzy switching functionbased sliding mode control methods are developed,respectively.It shows that the linear switching functionbased method is the most tractable and the proposed NonPDC fuzzy switching functionbased method is less conservative.Finally,the fuzzy switching functionbased sliding mode control method is formulated,which is the counterpart of the linear switching functionbased sliding mode control method in linear descriptor systems.(4)The integraltype switching function design problem for Ito stochastic TS fuzzy descriptor systems is studied.A linear,a PDC fuzzy and a NonPDC fuzzy feedback gainbased integraltype switching functions are designed,respectively.It is shown that the linear feedback gainbased method facilitates the design and the NonPDC fuzzy feedback gainbased method reduces the conservatism of other methods.Finally,the fuzzy feedback gainbased integral sliding mode control method is formulated,which extends the integral sliding mode control method for linear descriptor systems.(5)The observerbased sliding mode controller design problem is investigated for TS fuzzy descriptor systems with parameter uncertainties.Due to the presence of parameter uncertainties,the resulting closedloop system does not satisfy separation principle.To this end,a singlestep and a twostep design methods are respectively developed to obtain the designing parametric matrices.It shows that the singlestep design method is more convenient in the design and the twostep design method is less conservative.Finally,the potential application to a class of mechanical systems is also considered.It shows that a TS fuzzy descriptor system is not only a natural representation of this class of mechanical systems,but also facilitates the design.(6)The sliding mode controller design problem for TS fuzzy interconnected descriptor systems is considered when the state variables are partially measurable.A decomposition form for the coefficient matrices of TS fuzzy interconnected descriptor systems is introduced,which facilitates the separation of the measurable state variables and immeasurable state variables.In terms of the measurable state variables and the estimation of the immeasurable state variables,a sliding mode controller design method is proposed.This method can ensure the asymptotic stability of the resulting closedloop system,thus,it improves the traditional output feedback sliding mode control method.  Keywords/Search Tags:  descriptor regular form, linear switching function, integraltype switching function, reducedorder observer, descriptor sliding mode observer, highorder sliding mode control, TS fuzzy systems, descriptor systems, fuzzy switching function  PDF Full Text Request  Related items 
 
