Observer-Based Quadratic Guaranteed Cost Control for Linear Uncertain Systems with Control Gain Variation

  • Satoshi Hayakawa Graduate School of Integrative Science and Engineering, Tokyo City University, Tokyo, Japan
  • Yoshikatsu Hoshi Graduate School of Integrative Science and Engineering, Tokyo City University, Tokyo, Japan
  • Hidetoshi Oya Graduate School of Integrative Science and Engineering, Tokyo City University, Tokyo, Japan
Keywords: polytopic uncertainty, quadratic guaranteed cost control, observer-based controller, control gain variation, linear matrix inequality (LMI)

Abstract

This study proposes a method for designing observer-based quadratic guaranteed cost controllers for linear uncertain systems with control gain variations. In the proposed approach, an observer is designed, and then a feedback controller that ensures the upper bound on the given quadratic cost function is derived. This study shows that sufficient conditions for the existence of the observer-based quadratic guaranteed cost controller are given in terms of linear matrix inequalities. A sub-optimal quadratic guaranteed cost control strategy is also discussed. Finally, the effectiveness of the proposed controller is illustrated by a numerical example. The result shows that the proposed controller is more effective than conventional methods even if system uncertainties and control gain variations exist.

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Published
2022-06-09
How to Cite
[1]
S. Hayakawa, Y. Hoshi, and H. Oya, “Observer-Based Quadratic Guaranteed Cost Control for Linear Uncertain Systems with Control Gain Variation ”, Adv. technol. innov., vol. 7, no. 3, pp. 155-168, Jun. 2022.
Section
Articles