H infinity Disturbance Rejection for Continuous-Time Takagi-Sugeno Models based on Nested Convex Sums

This paper is concerned with controller design for Hinfinity disturbance rejection in continuous-time Takagi-Sugeno models. The control law belongs to a more general class than the well-known parallel distributed compensation: it is based on a recent approach which employs progressively more complex nested convex sums while preserving the use of a quadratic Lyapunov function. The results thus obtained are parameter-dependent linear matrix inequalities which allow logarithmic search of feasible solutions. Examples are provided to illustrate the aforementioned contributions.