The Transactions of the Korean Institute of Electrical Engineers D (대한전기학회논문지:시스템및제어부문D)

The Korean Institute of Electrical Engineers (대한전기학회)
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Design of Scheduled $H_{\infty}$ Control for Linear Systems with Limited Actuator Capacity

제한된 구동기 용량을 갖는 선형 시스템의 스케듈링 $H_{\infty}$ 제어기 설계

  • 송용희 (충북대학교 대학원 제어계측공학과) ;
  • 김진훈 (충북대학교 전기전자공학부)
  • Published : 2004.09.01
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Abstract

In practical control systems, the capacity of actuators is limited and this degrades the system performances and it is often a source of instability. To use full capacity of actuators, we adopt the gain scheduled control permitting the over saturation in controls. The basic idea of gain scheduled control is to use a higher gain control when the state variables are smaller and a lower gain control when the state variables are larger. First, we derive a constant H control and a reachable set while satisfying the degree of over saturation. Next, we divide this set into nested subsets and find $H_{\infty}$ controls at rack subsets while satisfying the degree of over saturation. Finally, the control gain is applied according to the status of states. Note that all procedures are done by solving linear matrix inequalities(LMI). Finally, we show the validity and applicability of our proposed control using the simulations of a six-story building subjected to the earthquake excitation.

Keywords

References

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