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포화 구동기를 갖는 선형 시스템의 이득 스케듈링 제어기 설계
송용희,김진훈 대한전기학회 2003 전기학회논문지 D Vol.52 No.9(D)
- In this paper, we considered the design of gain scheduled controllers for linear systems with saturating actuators. Our basic idea is to design a control that uses higher control gain when the states are smaller, and lower gain when it is higher. By doing this, we can avoid the saturation and we can improve the performance. First, we derive a control and a reachable set expressed as LMI form, which minimizes not only theL_2
제한된 구동기 용량을 갖는 선형 시스템의 스케듈링 제어기 설계
송용희,김진훈 대한전기학회 2004 전기학회논문지 D Vol.53 No.9(D)
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 control and a reachable set while satisfying the degree of over saturation. Next, we divide this set into nested subsets and find controls at each 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.
제한된 구동기 용량을 갖는 선형 시스템의 스케듈링 $H_{\infty}$ 제어기 설계
송용희,김진훈 대한전기학회 2004 전기학회논문지 D Vol.53 No.9
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.
포화 구동기를 갖는 시간 시연 선형 시스템의 H<SUB>∞</SUB> 제어
송용희(Yong-Heui Song),김진훈(Jin-Hoon Kim) 대한전기학회 2010 전기학회논문지 Vol.59 No.8
In this paper, we consider the H∞ control of time-delayed linear systems with saturating actuators. The considered time-delay is a time-varying one having bounds on magnitude and time-derivative, and the control permits the predetermined degree of saturation. Based on two modified Lyapunov-Krasovskii(L-K) functionals, we derive a H∞ control in the form of linear matrix inequalities(LMI) having three non-convex design parameters. The result is dependent on the characteristics of time-delay, predetermined degree of saturation level, and bound of disturbance. Finally, we give a comparative example to show the effectiveness and usefulness of our result.