제한된 구동기 용량을 갖는 선형 시스템의 스케듈링 제어기 설계 = Design of Scheduled Control for Linear Systems with Limited Actuator Capacity

다국어 초록 (Multilingual 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 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.

참고문헌 (Reference)

1 송용희, "포화구동기를 갖는 선형시스템의 이득 스케듈링 제어기 설계" 52d : 511-519, 2002.

2 S. Srivastava, "Scheduled controllers for disturbance attenuation of systems with bounded inputs" Proc. of American Control Conference 735-739, 2000.

3 J.-H. Kim, "Robust stability of uncertain linear systems with saturating actuators" 39 : 202-207, 1994.

4 S. Boyd, "Linear matrix inequalities in system and control theory" 1994.

5 D.S. Bernstein, "Int. J. of Robust and Nonlinear Control" 5 : 375-540, 1995.

6 T. Nguyen, "Controller design for sesmic-excited buildings with bounded actuators" 128 : 857-865, 1998.

7 T. Hu, "Control systems with actuator saturation" 2001.

8 T. Hu, "An anlysis and design method for linear systems subject to actuator saturation and disturbance" Proc. of American Control Conference 725-729, 2000.

9 Z. Lin, "A semi-global low-and-high gain design technique for linear systems with input saturation-stabilization and disturbance rejection" 5 : 381-398, 1995.

10 P.O. Gutman, "A new design of constrained controllers for linear systems" 30 : 22-33, 1985.

11 L. Zaccarian, "A common framework for anti-windup, bumpless transfer and reliable design" 38 : 1735-1744, 2002.