• 제어로봇시스템학회논문지
• /
• 제12권5호
• /
• pp.411-418
• /
• 2006

There are mainly two types of bang-bang controllers for nominal linear time-invariant (LTI) system. Optimal bang-bang controller is designed based on optimal control theory and suboptimal bang-bang controller is obtained by using Lyapunov stability condition. In this paper, the suboptimal bang-bang control method is extended to LTI system involving both control input saturation and structured real parameter uncertainties by using Lyapunov robust stability condition. Two robust optimal bang-bang controllers are derived by minimizing the time derivative of Lyapunov function subjected to the limit of control input. The one is developed based on the classical quadratic stability(QS), and the other is developed based on the affine quadratic stability(AQS). And characteristics of the two controllers are compared. Especially, bounds of parameter uncertainties which theoretically guarantee robust stability of the two controllers are compared quantitatively for 1DOF vibrating system. Moreover, the validity of robust optimal bang-bang controller based on the AQS is shown through numerical simulations for this system.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 B
• /
• pp.580-583
• /
• 2003

The general time optimal control law provides the optimal solution for a minimum time control problem. But in most real systems with disturbances and model uncertainties, the time optimal control law leads to chattering effect. This chattering effect can cause the system to be unstable. Therefore, we propose a robust optimal control algorithm for the nonlinear second order systems with model uncertainty. The proposed algorithm is combined with bang-bang control and sliding mode control. Thus the proposed algorithm has two state space regions to implement to control algorithm. In each region, the appropriate linear or nonlinear feedback control law is used satisfying the dynamic system equations. Simulation results show the superiority of the proposed controller in comparison with pure time optimal control(bang-bang control).

• 한국소음진동공학회논문집
• /
• 제22권7호
• /
• pp.650-658
• /
• 2012

This paper proposes a high performance position controller for a driving system using a time optimal controller which has been widely used to control driving systems to achieve desired reference position or velocity in a minimum response time. The main purpose of this research lies in an improvement of transient response performance rather than that of steady-state response in comparison with other control strategies. In order to refine the scheme of time optimal control, Lyapunov stability proofs are incorporated in a controller of standard second order system model. This scheme is applied to the control of a driving system. In view of the simulation and experiment results, the standard second order system model exhibits better minimum-time control performance and robustness than double integral system model does.

• 한국지진공학회논문집
• /
• 제10권6호
• /
• pp.93-102
• /
• 2006

대형 구조물에 작용하는 큰 외력은 능동 제어 장치의 제어입력에 포화를 종종 유발한다. 그리고 구조물이 대형화될수록 질량, 강성 등의 파라미터들에 대한 정확한 값을 알기가 어려워지므로, 수학적인 모델과 실제 구조물과의 모델링 오차는 파라미터들에 대한 불확실성으로 제어기의 설계 시에 고려되어야 한다. 그러므로 건축 및 토목 구조물에 대한 능동 진동 제어 방법을 다룰 때 제어기의 안정성을 보장하기 위하여 제어입력의 포화와 계의 파라미터 불확실성을 동시에 고려한 강인 포화 제어기의 설계가 필요하다. 여기에서는 건물의 능동 진동 제어에 연구 및 적용되어진 여러 제어기들 중에서 선형 최적 제어기 LQR, 수정된 뱅뱅 제어기, 포화 슬라이딩 모드 제어기, 강인 포화 제어기의 안정성을 살펴본다. 특히 제안된 강인 포화 제어기의 필요성을 보이기 위하여 LQR, 수정된 뱅뱅 제어기, 포화 슬라이딩 모드 제어기들이 제어입력의 포화나 파라미터 불확실성이 존재하는 경우에 불안정해지는 현상들을 보인다. 2자유도 진동계에 대한 수치 예제와 능동 질량 감쇠기(AMD)를 이용한 2층 구조물에 대한 실험을 통하여 강인 포화 제어기의 강인 안정성을 보인다.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 2000년도 추계학술대회논문집
• /
• pp.282-286
• /
• 2000

In this paper, magneto-rheological(MR) damper is studied for vibration control of large infra structures under earthquake. Generally, active control devices need a large control force and a high power supply system to reduce the vibration effectively. Large and miss tuned control force may induce the dangerous situation such that the generated large control force acts to amplify the structural vibration. Recently, to overcome the weaknesses of the active control, the semi-active control method is suggested by many researchers. Semi-active control uses the passive control device of which the characteristics can be modified. Control force of the semi-active device is not generated from the actuator with power supply. It is generated as a dynamic reaction force of the device same as in the passive control case, so the control system is inherently stable and robust. Unlike the case of passive control, control force of semi-active control is adjusted depending on the measured response of the structure, so the vibration can be reduced more effectively against various unknown environmental loads. Magneto-rheological(MR) damper is one of the semi-active devices. Dynamic characteristics of the MR material can be changed by applying the magnetic fields. So the control of MR damper needs only small power. Response time of MR to the input voltage is very short, so the high performance control is possible. MR damper has a high force capacity so it is adequate to the vibration control of large infra structure. Because MR damper has a nonlinear property, normal control method used in active control may not be effective. Clipped optimal control, modified bang-bang control etc. have been suggested to MR damper by many researchers. In this study, sliding mode fuzzy control(SMFC) is applied to MR damper. Genetic algorithm is used for the controller tuning. To verify the applicability of MR damper and suggested algorithm, numerical simulation on the aseismic control is carried out. Simulation model is three-story building structure, which was used in the paper of Dyke, et al. The control performance is compared with clipped optimal control. The present results indicate that the SMFC algorithm can reduce the earthquake-induced vibration very effectively.