Robust H_2/H_8 Static Output Feedback Control for Uncertain Discrete-Time Fuzzy Systems

The problem of robust H
₂
/H
_∞
static output feedback control is investigated for a class of uncertain discrete-time fuzzy systems. By using basis-dependent Lyapunov function, a general mixed H
₂
/H
_∞
performance criterion is proposed, which separates Lyapunov matrices from system matrices. Based on this, a sufficient condition for the existence of robust H
₂
/H
_∞
fuzzy static output feedback controller is derived in terms of matrix inequalities. Furthermore, an iterative linear matrix inequality (ILMI) algorithm is developed to design optimal fuzzy controller. The control design approach enable one to employ different Lyapunov functions to satisfy different design objectives due to the extra degrees of freedom, which is expected to reduce the design conservativeness.