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Stabilization on Null Controllable Region

  • Hongjiu Yang
  • Yuanqing Xia
  • Qing Geng
Chapter
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 193)

Abstract

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.

References

  1. 72.
    Z. Lin, Low Gain Feedback (Springer, London, 1998)zbMATHGoogle Scholar
  2. 163.
    H. Yang, P. Shi, Z. Li, C. Hua, Analysis and design for delta operator systems with actuator saturation. Int. J. Control 87(5), 987–999 (2014)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Hongjiu Yang
    • 1
  • Yuanqing Xia
    • 2
  • Qing Geng
    • 3
  1. 1.School of Electrical and Information EngineeringTianjin UniversityTianjinChina
  2. 2.School of AutomationBeijing Institute of TechnologyBeijingChina
  3. 3.Institute of Electrical EngineeringYanshan UniversityQinhuangdaoChina

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