Robust D-stabilization for uncertain nonlinear systems based on fuzzy models
Fei Liu · Kongzhi yu juece · 2002
The robust D stabilization problem is discussed for a class of Takagi Sugeno fuzzy models with uncertainties. The notion of quadratic D stability is generalized to the uncertain nonlinear systems which reduce to a set of Takagi Sugeno fuzzy models. The D subrigion of the complex plane is defined basedonLMIrepresentationandtherobust D stabilityconditionisestablished in termsofthe feasibilityofaclassofLMIs.Usingparalleldistributedcompensation(PDC),localrobust D stabilizable controllers via state feedback are derived by the numerical solutions of a set of coupled LMIs and the global controller is a fuzzy blending of the local linear controllers. An example of mass spring damper is given to illustrate the results.