Robust Control Of A Class Of Uncertain Discrete Time Delay Fuzzy Systems

This thesis mainly deals with robust control of a discrete-time-delay fuzzy systems with uncertainty. The content can be cut into two parts:The first part: Robust H₂ state feedback controller problem is investigated for a class of discrete-time-delay fuzzy systems. The parameter uncertainties are modelled as a fractional forms, the norm-bound form is one of its special forms. In this part, we mainly consider the following system model:By using Lyapunov stability theory and linear matrix inequality (LMI) technology, the stability of a class of closed-loop system is developed with H₂ performance bound, and then a state feedback controller is designed. At last, numerical examples are presented to demonstrate the application of the proposed method.The second part: Delay-dependent robust stabilization problem is studied for a class of discrete-time-time fuzzy system with uncertainty. The parameter uncertainties are modelled as a fractional form. Consider the following system model:By using Lyapunov stability theory and LMI technology, a sufficient condition is developed to ensure the closed-loop system is robust stable. Numerical examples are presented to demonstrate the application of the proposed method.