Sampled-data based quantisation control for T–S fuzzy switched systems with actuator failures dependent on an improved Lyapunov functional method

Sampled-data based quantisation control for Takagi–Sugeno (T–S) fuzzy switched systems with actuator failures under asynchronous switching is studied. By the T–S fuzzy model, sampled-data based asynchronous control is extended into switched non-linear systems. An improved functional method is introduced. Applying this method, improved Lyapunov functionals are constructed. These functionals are mode dependent and piecewise continuous; not every term of these functionals is required to be positive definite; sampling states at both sides of sampling intervals are introduced into these functionals. More useful information with respect to system states is reflected in constructing functionals. Combining these functionals with the averaged dwell time technique, stabilisation conditions are relaxed, and improved exponential stabilisation criteria are obtained with less conservatism. In addition, variation ranges of membership functions are taken into account to reduce conservatism. Then, a sampled-data based fuzzy quantisation controller is designed. Simulation examples are given to illustrate the effectiveness of the proposed results.