Stability Analysis and Controller Design of Fuzzy Descriptor Systems
Xiaoyan Shi · Journal of Tianjin University Science and Technology · 2004
The quadratic stability of fuzzy descriptor systems is investigated in order to resolve common matix X. Several necessary conditions are presented for the existence of a common matrix X enabling the system to be properly stable. The computing burden in determining the quadratic stability is reduced via the present neces-(sary) conditions. Base on these necessary conditions, the design problems of state feedback controllers and state observers are further discussed. A numerical example is given to illustrate the applicability of the proposed approaches.