Practical Stabilization on Null Controllable Region
It is well known that disturbances exist in most practical controlled processes due to friction, load variation, measurement noises, sensor errors, actuator errors and so on. Hence, it becomes a crucial problem that how to disturbance rejection and guarantee stability for control systems [126, 127]. In , composite anti-disturbance control problems have been investigated for a class of nonlinear systems with Markov jump parameters and multiple disturbances. A Lyapunov stability approach has been applied to analysis and design of disturbance observers and anti-disturbance controllers. In , an analysis and design method for both closed-loop stability and disturbance rejection has been given. For linear exponentially unstable systems subject to actuator saturation and input disturbances, semi-global practical stabilization has been obtained in . Stabilization of a fault detection error system has been discussed with a piecewise Lyapunov function . Moreover, effect of disturbances has been reduced by tuning parameters of control laws such that any trajectory of systems converges to an arbitrarily small neighborhood of origin . Furthermore, controller design-induced L2 disturbance attenuation has been investigated for T-S fuzzy DOSs with time-varying delays via an input-output approach in . Problems on practical stabilization of DOSs subject to actuator saturation and disturbances are important and challenging in both theory and practice, which motivated us to carry on this chapter.
- 127.X. Su, L. Wu, P. Shi, Philip C.L. Chen, Model approximation for fuzzy switched systems with stochastic perturbation. IEEE Trans. Fuzzy Syst. 23(5), 1458–1473 (2015)Google Scholar