• Title/Summary/Keyword: Constrained linear model

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Robust Model Predictive Control Using Polytopic Description of Input Constraints

  • Lee, Sang-Moon
    • Journal of Electrical Engineering and Technology
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    • v.4 no.4
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    • pp.566-569
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    • 2009
  • In this paper, we propose a less conservative a linear matrix inequality (LMI) condition for the constrained robust model predictive control of systems with input constraints and polytopic uncertainty. Systems with input constraints are represented as perturbed systems with sector bounded conditions. For the infinite horizon control, closed-loop stability conditions are obtained by using a parameter dependent Lyapunov function. The effectiveness of the proposed method is shown by an example.

On a Bayesian Estimation of Multivariate Regression Models with Constrained Coefficient Matrix

  • Kim, Hea-Jung
    • Journal of Korean Society for Quality Management
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    • v.26 no.4
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    • pp.151-165
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    • 1998
  • Consider the linear multivariate regression model $Y=X_1B_1+X_2B_2+U$, where Vec(U)~N(0, $\sum \bigotimes I_N$). This paper is concerned with Bayes infreence of the model when it is suspected that the elements of $B_2$ are constrained in the form of intervals. The use of the Gibbs sampler as a method for calculating Bayesian marginal posterior desnities of the parameters under a generalized conjugate prior is developed. It is shown that the a, pp.oach is straightforward to specify distributionally and to implement computationally, with output readily adopted for required inference summaries. The method developed is a, pp.ied to a real problem.

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Constrained NLS Method for Long-term Forecasting with Short-term Demand Data of a New Product (제약적 NLS 방법을 이용한 출시 초기 신제품의 중장기 수요 예측 방안)

  • Hong, Jungsik;Koo, Hoonyoung
    • Journal of the Korean Operations Research and Management Science Society
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    • v.38 no.1
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    • pp.45-59
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    • 2013
  • A long-term forecasting method for a new product in early stage of diffusion is proposed. The method includes a constrained non-linear least square estimation with the logistic diffusion model. The constraints would be critical market informations such as market potential, peak point, and take-off. Findings on 20 cases having almost full life cycle are that (i) combining any market information improves the forecasting accuracy, (ii) market potential is the most stable information, and (iii) peak point and take-off information have negative effect in case of overestimation.

Attitude Control of Planar Space Robot based on Self-Organizing Data Mining Algorithm

  • Kim, Young-Woo;Matsuda, Ryousuke;Narikiyo, Tatsuo;Kim, Jong-Hae
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.377-382
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    • 2005
  • This paper presents a new method for the attitude control of planar space robots. In order to control highly constrained non-linear system such as a 3D space robot, the analytical formulation for the system with complex dynamics and effective control methodology based on the formulation, are not always obtainable. In the proposed method, correspondingly, a non-analytical but effective self-organizing modeling method for controlling a highly constrained system is proposed based on a polynomial data mining algorithm. In order to control the attitude of a planar space robot, it is well known to require inputs characterized by a special pattern in time series with a non-deterministic length. In order to correspond to this type of control paradigm, we adopt the Model Predictive Control (MPC) scheme where the length of the non-deterministic horizon is determined based on implementation cost and control performance. The optimal solution to finding the size of the input pattern is found by a solving two-stage programming problem.

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Vibration Control of Arc Type Shell using Active Constrained Layer Damping (능동 감쇠층을 이용한 아크형태 쉘 모델에 대한 진동특성 연구)

  • 고성현;박현철;박철휴;황운봉
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.1032-1038
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    • 2002
  • The Active Constrained Layer Damping(ACLO) combines the simplicity and reliability of passive damping with the low weight and high efficiency of active control to attain high damping characteristics. The proposed ACLD treatment consists of a viscoelastic damping which is sandwiched between an active piezoelectric layer and a host structure. In this manner, the smart ACLD consists of a Passive Constrained Layer Damping(PCLD) which is augmented with an active control in response to the structural vibrations. The Arc type shell model is introduced to describe the interactions between the vibrating host structure, piezoelectric actuator and visco damping, The system is modeled by applying ARMAX model and changing a state-space form through the system identification method. An optimum control law for piezo actuator is obtain by LQR(Linear Quadratic Regulator) Method. The performance of ACLD system is determined and compared with PCLD in order to demonstrate the effectiveness of the ACLD treatment, Also, the actuation capability of a piezo actuator is examined experimentally by using various thickness of Viscoelastic Materials(VEM).

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A T-S Fuzzy Identification of Interior Permanent Magnet Synchronous (매입형 영구자석 동기전동기의 T-S 퍼지 모델링)

  • Wang, Fa-Guang;Kim, Min-Chan;Kim, Hyun-Woo;Park, Seung-Kyu;Yoon, Tae-Sung;Kwak, Gun-Pyoung
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.4
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    • pp.391-397
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    • 2011
  • Control of interior permanent magnet (IPMSM) is difficult because its nonlinearity and parameter uncertainty. In this paper, a fuzzy c-regression models clustering algorithm which is based on T-S fuzzy is used to model IPMSM with a series linear model and weight them by memberships. Lagrangian of constrained function is built for calculating clustering centers where training output data are considered. Based on these clustering centers, least square method is applied for T-S fuzzy linear model parameters. As a result, IPMSM can be modeled as T-S fuzzy model for T-S fuzzy control of them.

End point and contact force control of a flexible manipulator (유연한 조작기의 끝점위치 및 접촉력 제어)

  • 최병오
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.552-558
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    • 1993
  • In this paper, control of a planar two-link structurally flexible robotic manipulator executing unconstrained and constrained maneuvers is considered. The dynamic model, which is obtained by using the extended Hamilton's principle and the Galerkin criterion, includes the impact force generated during the transition from unconstrained to constrained segment of the robotic task. A method is presented to obtain the linearized equations of motion in Cartesian space for use in designing the control system. The linear quadratic Gaussian with loop transfer recovery (LQG/LTR) design methodology is exploited to design a robust feedback control system that can handle modeling errors and sensor noise, and operate on Cartesian space trajectory errors. The LQG/LTR compensator together with a feedforward loop is used to control the flexible manipulator. Simulated results are presented for a numerical example.

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LQR Design Considering Control Input Saturation in Cross-Product Term and Its Application to an Automotive Active Suspension Control (교차곱항에 제어입력의 포화를 고려한 LQR 설계 및 자동차 능동 현가장치 제어에의 응용)

  • Seo, Young-Bong;Choi, Jae-Weon
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.5 s.98
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    • pp.169-174
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    • 1999
  • In this paper, the CLQR(Constrained LQR) controller, which considers the actuator saturation in a cross-product term of a given performance index for an automotive active suspension control has been proposed. The effects of actuator saturations have been reflected directly in the states by using the linear relation between the control input and states. The method proposed here is more effective and intuitive compared with the conventional schemes. The CLQR has been applied to designing an automotive active suspension control system to verify its effectiveness and practical aspects.

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A New Chance-Constrained Programming Approach to Capital Budgeting (확률제약조건계획법(確率制約條件計劃法)을 이용(利用)한 자본예산모형(資本豫算模型))

  • Lee, Ju-Ho
    • Journal of Korean Institute of Industrial Engineers
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    • v.6 no.2
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    • pp.21-29
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    • 1980
  • This paper deals with the capital budgeting problem of a firm where investments are risky and interrelated. The established models might be classified into two categories; One is the chance-constrained programming model and the other is the expected utility maximization model. The former has a rather limited objective function and does not consider the risk in direct manner. The latter, on the other hand, might lead to a wrong decision because it uses an approximate value of expected utility. This paper attempts to extend the applicability of the chance-constrained programming model by modifying its objective function into a more general form. The capital budgeting problem is formulated as a nonlinear 0-1 integer programming problem first, and is formulated into a linear 0-1 integer programming problem for finding a lower-bound solution of the original problem. The optimal solution of the original problem is then obtained by branch & bound algorithm.

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Study on the Air Bearings with Actively Controllable Magnetic Preloads for an Ultra-precision Linear Stage (초정밀 직선 이송계용 능동 자기예압 공기베어링에 관한 연구)

  • Ro, Seung-Kook;Kim, Soo-Hyun;Kwak, Yoon-Keun;Park, Chun-Hong
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.6
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    • pp.134-142
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    • 2008
  • In this paper, we propose a precise linear motion stage supported by magnetically preloaded air bearings. The eight aerostatic bearings with rectangular carbon porous pads were located only one side of vertical direction under the platen where four bearings are in both sides of horizontal direction as wrap-around-design, and this gives simpler configuration than which constrained by air bearings for all direction. Each of the magnetic actuators has a permanent magnet generating static magnetic flux far required preload and a coil to perturb the magnetic farce resulting adjustment of air- bearing clearance. The characteristics of porous aerostatic bearing are analyzed by numerical analysis, and analytic magnetic circuit model is driven for magnetic actuator to calculate preload and variation of force due to current. A 1-axis linear stage motorized with a coreless linear motor and a linear encoder was designed and built to verify this design concept. The load capacity, stiffness and preload force were examined and compared with analysis. With the active magnetic preloading actuators controlled with DSP board and PWM power amplifiers, the active on-line adjusting tests about the vertical, pitching and rolling motion were performed. It was shown that motion control far three DOF motions were linear and independent after calibration of the control gains.