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비선형 시스템을 위한 보간 기반의 적응 LQ 제어

Interpolation-Based Adaptive LQ Control for Nonlinear Systems

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초록

This paper presents a design method of the Interpolation-based adaptive LQ controller that is accomplished by getting the final controller interpolated with each gain of sub-LQ controllers. The Lagrange interpolation method is used in the scheme. The proposed controller is useful to control nonlinear systems which are especially changed the system parameters. The design method is illustrated by an application to the stabilization and tracking problems of an inverted pole system on a cart. Several cases of simulations are carried out in order to validate the control effectiveness and robustness. The simulation results are compared with those of LQ controller and prove the better control performance than LQ controller.

Abstract

This paper presents a design method of the Interpolation-based adaptive LQ controller that is accomplished by getting the final controller interpolated with each gain of sub-LQ controllers. The Lagrange interpolation method is used in the scheme. The proposed controller is useful to control nonlinear systems which are especially changed the system parameters. The design method is illustrated by an application to the stabilization and tracking problems of an inverted pole system on a cart. Several cases of simulations are carried out in order to validate the control effectiveness and robustness. The simulation results are compared with those of LQ controller and prove the better control performance than LQ controller.

참고문헌 (8)

  1. R. E. Skelton, "Dynamic Systems Control" (1988), John Wiley & Sons
  2. M. Drouin, "Control of Complex System" (1991), Plenum Press
  3. S. Tong, "Fuzzy Adaptive Output Tracking Control of Nonlinear Systems", Fuzzy Sets and Systems, 111, pp.169~182 (2000)
  4. I. Rojas, "Adaptive Fuzzy Controller: Application to the Control of the Temperature of a Dynamic Room in Real Time", Fuzzy Sets and Systems, 157, pp.2241~2258 (2006)
  5. T. Takagi, "Fuzzy Identification of Systems and Its Application to Modeling and Control", IEEE Trans. on SMC, SMC-15(1), pp.116~132 (1985)
  6. K. Tanaka, "A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer", IEEE Trans. Fuzzy Systems, 2(2), pp.119~134 (1994)
  7. 최한호, "선형 제어 시스템 설계 (Ⅲ) : 상태 공간 제어기 설계", 제어․자동화․시스템공학회지, 12(3), pp.42~50 (2006)
  8. "QUANSER User Manual, Linear Motion Servo Plants: IP01 and IP02, Inverted Pendulum. 선택한 내용을", ~

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