TY - CHAP
T1 - Practical Stabilization on Null Controllable Region
AU - Yang, Hongjiu
AU - Xia, Yuanqing
AU - Geng, Qing
N1 - Publisher Copyright:
© 2019, Springer Nature Singapore Pte Ltd.
PY - 2019
Y1 - 2019
N2 - 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 [177], 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 [52], 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 [48]. Stabilization of a fault detection error system has been discussed with a piecewise Lyapunov function [126]. 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 [47]. Furthermore, controller design-induced L 2 disturbance attenuation has been investigated for T-S fuzzy DOSs with time-varying delays via an input-output approach in [65]. 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.
AB - 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 [177], 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 [52], 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 [48]. Stabilization of a fault detection error system has been discussed with a piecewise Lyapunov function [126]. 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 [47]. Furthermore, controller design-induced L 2 disturbance attenuation has been investigated for T-S fuzzy DOSs with time-varying delays via an input-output approach in [65]. 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.
UR - https://www.scopus.com/pages/publications/85064728273
U2 - 10.1007/978-981-13-3660-7_4
DO - 10.1007/978-981-13-3660-7_4
M3 - Chapter
AN - SCOPUS:85064728273
T3 - Studies in Systems, Decision and Control
SP - 67
EP - 94
BT - Studies in Systems, Decision and Control
PB - Springer International Publishing
ER -