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Low-Gain Feedback via Parametric Riccati Equations

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

Abstract

Currently, three methods are used to construct low-gain feedback laws, i.e., an eigenstructure assignment approach, a parametric Riccati equation -based approach, and a parametric Lyapunov equation-based approach. According to eigenstructure assignment algorithms, exponential feedback gains have been constructed for continuous-time and discrete-time systems in [75] and [76], respectively. An approach to the low-gain feedback law has been developed in [77] and [131]. An alternative approach based on solutions of a parametric Lyapunov equation to the low-gain feedback law has been proposed in [198] and [202]. In [176], a semi-global leader-following consensus problem has been investigated for multi-agent systems in the presence of both position saturation and bounded rate disturbances.

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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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