TY - CHAP
T1 - 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 - A set of equilibrium points in a null controllable region is obtained based on an important assumption. A stable equilibrium line is given for DOSs subject to actuator saturation. A complex controller is constructed to achieve global stabilization of DOSs with actuator saturation. Our motivation is to get simpler structures of controllers such that the controllers are less sensitive to uncertainties and disturbances of system models than the ones for global stabilization. Therefore, a simple controller is designed to obtain semi-global stabilization of DOSs with actuator saturation. Note that the null controllable region has not been considered in [163]. Moreover, neither global nor semi-global stabilization of states in the null controllable region has not been investigated in [163]. Stabilizability plays a crucial role in all control systems, such as switched linear systems, NCSs, T-S fuzzy stochastic systems, and invertible multi-input multi-output nonlinear systems. Note that high gain feedbacks are essential for semi-global and global stabilization of continuous-time systems subject to actuator saturation. Contrary to continuous-time systems, a high gain feedback taken to research stabilization of discrete-time systems subject to actuator saturation is completely different. In fact, the high gain feedback in discrete-time systems is usually destabilizing. Therefore, a research of the DOSs with actuator saturation is necessary to solve this issue.
AB - A set of equilibrium points in a null controllable region is obtained based on an important assumption. A stable equilibrium line is given for DOSs subject to actuator saturation. A complex controller is constructed to achieve global stabilization of DOSs with actuator saturation. Our motivation is to get simpler structures of controllers such that the controllers are less sensitive to uncertainties and disturbances of system models than the ones for global stabilization. Therefore, a simple controller is designed to obtain semi-global stabilization of DOSs with actuator saturation. Note that the null controllable region has not been considered in [163]. Moreover, neither global nor semi-global stabilization of states in the null controllable region has not been investigated in [163]. Stabilizability plays a crucial role in all control systems, such as switched linear systems, NCSs, T-S fuzzy stochastic systems, and invertible multi-input multi-output nonlinear systems. Note that high gain feedbacks are essential for semi-global and global stabilization of continuous-time systems subject to actuator saturation. Contrary to continuous-time systems, a high gain feedback taken to research stabilization of discrete-time systems subject to actuator saturation is completely different. In fact, the high gain feedback in discrete-time systems is usually destabilizing. Therefore, a research of the DOSs with actuator saturation is necessary to solve this issue.
UR - http://www.scopus.com/inward/record.url?scp=85064762176&partnerID=8YFLogxK
U2 - 10.1007/978-981-13-3660-7_3
DO - 10.1007/978-981-13-3660-7_3
M3 - Chapter
AN - SCOPUS:85064762176
T3 - Studies in Systems, Decision and Control
SP - 39
EP - 65
BT - Studies in Systems, Decision and Control
PB - Springer International Publishing
ER -