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Semi-global Stabilization with Regional Performance

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

Abstract

The problem on semi-globally stabilization has been addressed on a null controllable region for a linear system with saturating actuators [20]. A technique for estimating the DoA has been proposed for discrete-time and continuous-time systems subject to actuator saturation [47]. Semi-global stabilization has been shown to design a feedback law such that the DoA includes a priori given subset on the null controllable region [128]. A stabilizing feedback law has been constructed for semi-global stabilization of the DoA with actuator saturation [73]. It is well known that asymptotic null controllability with bounded controls is equivalent to a usual notion of linear stability plus an added condition that open-loop eigenvalues have nonpositive real parts.

References

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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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