Partial State Feedback H_∞ Control for Discrete T-S Fuzzy Systems

Controllers based on partial state information are a special class of static output feedback controllers and are usually difficult to design with linear matrix inequality(LMI) technique.This paper investigates the problems of partial state feedback stabilization and partial state feedback H_∞ control of discrete T-S fuzzy systems.By intruducing relax variables,the partial-state-feedback stabilization problem of discrete T-S fuzzy system is transformed into the problem of solving a set of LMIs,and an LMI-based design method of partial-state-feedback H_∞ controller is given.Numerical examples are given to illustrate the validity of the presented methods.