The Transactions of The Korean Institute of Electrical Engineers (전기학회논문지)

The Korean Institute of Electrical Engineers (대한전기학회)
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[ $H_{\infty}$ ] Control of Time-Delayed Linear Systems with Limited Actuator Capacities

제한된 구동기 용량을 갖는 시간지연 선형시스템의 $H_{\infty}$ 제어

  • 이연규 (충북대학교 대학원 제어계측공학과) ;
  • 김진훈 (충북대학교 전기전자공학부)
  • Published : 2007.09.01
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Abstract

In this paper, we consider the design of $H_\infty$ high-gain state feedback control for time-delayed linear systems with limited actuator capacities. The high-gain control means that the control permits the predetermined degree of saturation. Based on new Lyapunov-Krasovskii functional, we derive a result in the form of matrix inequalities. The matrix inequalities are consisted of LMIs those confirm the positive definiteness of Lyapunov- Krasovskii functional, satisfaction of predetermined degree of saturation, reachable set and $L_2$ gain constraint. The result is dependent on the bound of time-delay and its rate, predetermined degree of saturation, actuator capacity, and the allowed size of disturbances. Finally, we give a numerical example to show the effectiveness and usefulness of our result.

Keywords

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