H∞ fuzzy control of Markovian jump nonlinear systems with time varying delay

Abstract

In this paper, delay dependent H∞ control problem of Markovian jumping nonlinear systems (MJNS) with time varying delay based on Takagi-Sugeno (TS) fuzzy modeling is studied. Sufficient criterion for H∞ performance are assured by deriving convex linear matrix inequalities from nonlinear matrix inequalites utilizing novel matrix transforms. Based on the delay decomposition approach, new set of Lyapunov candidates are constructed in order to derive very less conservative and easily testable criterions. Numerical simulation on single link robot arm model is illustrated to adequate the theory. © 2011 Springer-Verlag Berlin Heidelberg.