• Title/Summary/Keyword: linear optimal control

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Optimal placement of MR dampers for 20-story nonlinear benchmark building (20층 비선형 벤치마크 빌딩에 대한 MR 유체 감쇠기의 최적위치 결정)

  • 장종우;조상원;윤우현;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.153-160
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    • 2003
  • The objective of optimal placement of dampers for a structure is to maximize the effective-ness of the vibration control with the same number of dampers. While many optimal placement methods of linear viscous dampers have been proposed and used, there are only a few methods for MR dampers. Here some optimal location indices for M dampers are proposed, which are similar to those for linear viscous dampers and show how large the structural responses on each floor are. Every time an additional MR damper is implemented, the optimal location index on each floor is measured, and then the next damper is installed on the floor with the maximum location index. In these sequential procedures, the peak interstory drift, the peak interstory velocity and the absolute acceleration of each floor are selected as the optimal location indeices. Four different earthquakes with various scales are loaded to the 20-story nonlinear benchmark building model (Otori et al. 2000, 2002). Passive On/on algorithms are used in order to represent the control algorithm of M dampers.

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Optimal placement of MR dampers for 20-story nonlinear benchmark building (20층 비선형 벤치마크 빌딩에 대한 자기유변유체 감쇠기의 최적위치 결정)

  • 장종우;조상원;이인원;윤우현
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.09a
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    • pp.467-472
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    • 2003
  • The objective of optimal placement of dampers for a structure is to maximize the effectiveness of the vibration control with the same number of dampers. While many optimal placement methods of linear viscous dampers have been proposed and used, there are only a few methods for MR dampers. Here some optimal location indices for MR dampers are proposed, which are similar to those for linear viscous dampers and show how large the structural responses on each floor we. Every time an additional MR damper is implemented, the optimal location index on each floor is measured, and then the next damper is installed on the floor with the maximum location index. In these sequential procedures, the peak interstory drift, the peak interstory velocity and the absolute acceleration of each floor are selected as the optimal location indeices. Four different earthquakes with various scales are loaded to the 20-story nonlinear benchmark building model (Otori et at. 2000, 2002). Passive On/Off algorithms are used in order to represent the control algorithm of MR dampers.

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Optimal Guaranteed Cost Control of Linear Uncertain Systems with Input Constraints

  • Yu Li;Han Qing-Long;Sun Ming-Xuan
    • International Journal of Control, Automation, and Systems
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    • v.3 no.3
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    • pp.397-402
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    • 2005
  • The guaranteed cost control problem for a class of linear systems with norm-bounded time-varying parameter uncertainties and input constraints is considered. A sufficient condition for the existence of guaranteed cost state feedback controllers is derived via the linear matrix inequality (LMI) approach, and a design procedure to guaranteed cost controllers is given. Furthermore, a convex optimization problem is formulated to determine the optimal guaranteed cost controller. An example is given to illustrate the effectiveness of the proposed results.

Design of Robust, Optimal Controller using Sliding Mode (슬라이딩 모드를 이용한 견실 최적 제어기 설계)

  • Byun, Ji-Young;You, Kwan-Ho
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.580-583
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    • 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).

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Explorized Policy Iteration For Continuous-Time Linear Systems (연속시간 선형시스템에 대한 탐색화된 정책반복법)

  • Lee, Jae-Young;Chun, Tae-Yoon;Choi, Yoon-Ho;Park, Jin-Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.3
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    • pp.451-458
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    • 2012
  • This paper addresses the problem that policy iteration (PI) for continuous-time (CT) systems requires explorations of the state space which is known as persistency of excitation in adaptive control community, and as a result, proposes a PI scheme explorized by an additional probing signal to solve the addressed problem. The proposed PI method efficiently finds in online fashion the related CT linear quadratic (LQ) optimal control without knowing the system matrix A, and guarantees the stability and convergence to the LQ optimal control, which is proven in this paper in the presence of the probing signal. A design method for the probing signal is also presented to balance the exploration of the state space and the control performance. Finally, several simulation results are provided to verify the effectiveness of the proposed explorized PI method.

Modeling or an Engine System for Idle Speed Control (공회전 속도제어를 위한 엔진 시스템 모델)

  • Jo, Jang-Won;Lee, Youn-Seop;Lee, Deog-Kyoo;Choi, Don;Woo, Kwang-Bang
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.430-433
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    • 1989
  • This paper describes dynamic engine model that is appricable to idle speed control system development. A basic linear engine model responds to throttle and load torque Inputs to provide manifold pressure and speed outputs. Transfer functions are then derived for the modified linear engine model and significant dynamic characteristics are discussed. Lastly, the strategy for controlling idle speed uses the linear optimal control theory. The linear optimal regulator was designed using a state variable and the performance Index was minimized.

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Analysis and Optimal Control of Linear Time-delay Systems via Fast Walsh Transform (고속윌쉬변환에 의한 선형시지연계의 해석 및 최적제어)

  • Han, Sang-In;Lee, Myeong-Gyu;Kim, Jin-Tae;An, Du-Su
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.5
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    • pp.601-606
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    • 1999
  • A Walsh function method is proposed in this report for the analysis and optimal control of linear time-delay systems, which is based on the Picard's iterative approximation and fast Walsh transformation. In this research, the following results are obtained: 1) The differential and integral equation can be solved by transforming into a simple algebraic equation as it was possible with the usual orthogonal function method: 2) General orthogonal function methods require usage of Walsh operational matrices for delay or advance and many calculations of inverse matrices, which are not necessary in this method. Thus, the control problems of linear time-delay systems can be solved much faster and readily.

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Optimal Communication Channel Scheduling for Remote Control of Lead Vehicle in a Platoon (군집 선행차량의 원격제어를 위한 통신 채널의 최적 스케줄링)

  • 황태현;최재원
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.12
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    • pp.969-976
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    • 2003
  • A remote control strategy for vehicles in Intelligent Vehicle Highway System (IVHS) is considered. An optimal scheduling of a limited communication channel is proposed for lead vehicle control in a platoon. The optimal scheduling problem is to find the optimal communication sequence that minimizes the cost obtained inherently by an optimal control without the communication constraint. In this paper, the PID control law which guarantees the string stability is used for the lead vehicle control. The fact that the PID control law is equivalent to the approximately linear quadratic tracker allows to obtain the performance measure to find an optimal sequence. Simulations are conducted with five maneuvering platoons to evaluate the optimality of the obtained sequence.

Optimal Control for Central Cooling Systems (중앙냉방시스템의 최적제어에 관한 연구)

  • 안병천
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.12 no.4
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    • pp.354-362
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    • 2000
  • Optimal supervisory control strategy for the set points of controlled variables in the central cooling system has been studied by computer simulation. A quadratic linear regression equation for predicting the total cooling system power in terms of the controlled and uncontrolled variables was developed using simulated data collected under different values of controlled and uncontrolled variables. The optimal set temperatures such as supply air temperature, chilled water temperature, and condenser water temperature, are determined such that energy consumption is minimized as uncontrolled variables, load, ambient wet bulb temperature, and sensible heat ratio, are changed. The chilled water loop pump and cooling tower fan speeds are controlled by the PID controller such that the supply air and condenser water set temperatures reach the set points designated by the optimal supervisory controller. The influences of the controlled variables on the total system and component power consumption was determined. It is possible to minimize total energy consumption by selecting the optimal set temperatures through the trade-off among the component powers. The total system power is minimized at lower supply, higher chilled water, and lower condenser water set temperature conditions.

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Optimal Operation Control for Energy Saving in Water Reuse Pumping System (에너지절감을 위한 물 재이용 펌프시스템의 최적운전 제어)

  • Boo, Chang-Jin;Kim, Ho-Chan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.5
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    • pp.2414-2419
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    • 2012
  • This paper presents an optimal operation control method for energy saving in the water reuse pumping system. A predictive horizon switching strategy is proposed to implement an optimal operation control and a linear programming (LP) algorithm is used to solve optimal problems in each time step. Energy costs are calculated for electricity on both TOU in the light, heavy, and maximum load time period and peak charges. The optimal operation in water reuse pumping systems is determined to reduce the TOU and peak costs. The simulation results show a power energy saving for water reuse pumping systems and power stability improvement.