• Title/Summary/Keyword: Constrained Control

Search Result 513, Processing Time 0.036 seconds

Multivariable constrained model-based predictive control with application to boiler systems (제약조건을 갖는 다변수 모델 예측제어기의 보일러 시스템 적용)

  • Son, Won-Gi;Gwon, O-Gyu
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.3 no.6
    • /
    • pp.582-587
    • /
    • 1997
  • This paper deals with the control problem under nonlinear boiler systems with noise, and input constraints. MCMBPC(Multivariable Constrained Model-Based Predictive Controller) proposed by Wilkinson et al.[10,11] is used and nominal model is modified in this paper in order to applied to nonlinear boiler systems with feed-forward terms. The solution of the cost function optimization constrained on input and/or output variables is achieved using quadratic programming, via singular value decomposition(SVD). The controller designed is shown to satisfy the constraints and to have excellent tracking performance via simulation applied to nonlinear dynamic drum boiler turbine model for 16OMW unit.

  • PDF

Compliance Analysis of Constrained Spatial Flexible Manipulators (구속받는 3차원 유연 매니퓰레이터의 컴플라이언스 해석)

  • Kim, Jin-Soo
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.15 no.3
    • /
    • pp.91-96
    • /
    • 2006
  • The aim of this paper is to clarify the structural compliance of the constrained spatial flexible manipulator and to develop the force control by using the compliance of the links. Using the dependency of elastic deflections of links on contact force, vibrations for constrained vertical motion have been suppressed successfully by controlling the position of end-effector. However, for constrained horizontal motion, the vibrations cannot be suppressed by only controlling position of end-effector. We present the experimental results for constrained vertical motion, and constrained horizontal motion. Finally, a comparison between these results is presented to show the validity of link compliance.

Dynamic Optimization Algorithm of Constrained Motion

  • Eun, Hee-Chang;Yang, Keun-Heok;Chung, Heon-Soo
    • Journal of Mechanical Science and Technology
    • /
    • v.16 no.8
    • /
    • pp.1072-1078
    • /
    • 2002
  • The constrained motion requires the determination of constraint force acting on unconstrained systems for satisfying given constraints. Most of the methods to decide the force depend on numerical approaches such that the Lagrange multiplier method, and the other methods need vector analysis or complicated intermediate process. In 1992, Udwadia and Kalaba presented the generalized inverse method to describe the constrained motion as well as to calculate the constraint force. The generalized inverse method has the advantages which do not require any linearization process for the control of nonlinear systems and can explicitly describe the motion of holonomically and/or nongolonomically constrained systems. In this paper, an explicit equation to describe the constrained motion is derived by minimizing the performance index, which is a function of constraint force vector, with respect to the constraint force. At this time, it is shown that the positive-definite weighting matrix in the performance index must be the inverse of mass matrix on the basis of the Gauss's principle and the derived differential equation coincides with the generalized inverse method. The effectiveness of this method is illustrated by means of two numerical applications.

A Study on a Real-Coded Genetic Algorithm (실수코딩 유전알고리즘에 관한 연구)

  • Jin, Gang-Gyoo;Joo, Sang-Rae
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.6 no.4
    • /
    • pp.268-275
    • /
    • 2000
  • The increasing technological demands of today call for complex systems, which in turn involve a series of optimization problems with some equality or inequality constraints. In this paper, we presents a real-coded genetic algorithm(RCGA) as an optimization tool which is implemented by three genetic operators based on real coding representation. Through a lot of simulation works, the optimum settings of its control parameters are obtained on the basis of global off-line robustness for use in off-line applications. Two optimization problems are Presented to illustrate the usefulness of the RCGA. In case of a constrained problem, a penalty strategy is incorporated to transform the constrained problem into an unconstrained problem by penalizing infeasible solutions.

  • PDF

Structured Controller Synthesis Using a Penalized LMI Method (페널티화된 LMI를 이용한 구조적 제약이 있는 제어기 설계)

  • Kim Seog-Joo;KWon Soonman Kwon;Cheon Jong-Min;Moon Young-Hyun
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.11 no.8
    • /
    • pp.656-661
    • /
    • 2005
  • This paper is concerned with an iterative linear matrix inequality (LMI) approach to the design of a structurally constrained output feedback controller such as decentralized control. The structured synthesis is formulated as a novel rank-constrained LMI optimization problem, where the controller parameters are explicitly described so as to impose structural constraints on the parameter matrices. An iterative penalty method is applied to solve the rank-constrained LMI problem. Numerical experiments are performed to illustrate the effectiveness of the proposed method.

Hybrid Vibration Control of Smart Laminated Composite Beams using Piezoelectric and Viscoelastic Material

  • Kang, Young-Kyu
    • International Journal of Precision Engineering and Manufacturing
    • /
    • v.4 no.1
    • /
    • pp.37-42
    • /
    • 2003
  • Active control of flexural vibrations of smart laminated composite beams has been carried out using piezoceramic sensor/actuator and viscoelastic material. The beams with passive constrained layer damping have been analyzed by formulating the equations of motion through the use of extended Hamilton's principle. The dynamic characteristics such as damping ratio and modal damping of the beam are calculated for various fiber orientations by means of iterative complex eigensolution method. This paper addresses a design strategy of laminated composite under flexural vibrations to design structure with maximum possible damping capacity.

STABILITY AND CONSTRAINED CONTROLLABILITY OF LINEAR CONTROL SYSTEMS IN BANACH SPACES

  • Phat, Vu-Ngoc;Park, Jong-Yeoul;Jung, Il-Hyo
    • Journal of the Korean Mathematical Society
    • /
    • v.37 no.4
    • /
    • pp.593-611
    • /
    • 2000
  • For linear time-varying control systems with constrained control described by both differential and discrete-time equations in Banach spaces was give necessary and sufficient conditions for exact global null-controllability. We then show that for such systems, complete stabilizability implies exact null-controllability.

  • PDF

OPTIMAL CONDITIONS FOR ENDPOINT CONSTRAINED OPTIMAL CONTROL

  • Kim, Kyung-Eung
    • Bulletin of the Korean Mathematical Society
    • /
    • v.45 no.3
    • /
    • pp.563-571
    • /
    • 2008
  • We deduce the necessary conditions for the optimality of endpoint constrained optimal control problem. These conditions comprise the adjoint equation, the maximum principle and the transversality condition. We assume that the cost function is merely differentiable. Therefore the technique under Lipschitz continuity hypothesis is not directly applicable. We introduce Fermat's rule and value function technique to obtain the results.

Analytical Method for Constrained Mechanical and Structural Systems

  • Eun, Hee-Chang;Park, Sang-Yeol;Lee, Eun-Taik;Chung, Heon-Soo
    • Journal of Mechanical Science and Technology
    • /
    • v.18 no.10
    • /
    • pp.1691-1699
    • /
    • 2004
  • The objective of this study is to present an accurate and simple method to describe the motion of constrained mechanical or structural systems. The proposed method is an elimination method to require less effort in computing Moore-Penrose inverse matrix than the generalized inverse method provided by Udwadia and Kalaba. Considering that the results by numerical integration of the derived second-order differential equation to describe constrained motion veer away the constrained trajectories, this study presents a numerical integration scheme to obtain more accurate results. Applications of holonomically or nonholonomically constrained systems illustrate the validity and effectiveness of the proposed method.

Placement of Passive Constrained Layer Damping for Vibration Control of Smart Plate (지능판의 진동제어를 위한 수동구속감쇠의 위치 설정)

  • Kang, Young-Kyu;Kim, Chan-Mook
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2002.11a
    • /
    • pp.310.1-310
    • /
    • 2002
  • Dynamic characteristics of smart laminated composite plates with passive constrained layer damping have been investigated to design structure with maximum possible damping capacity. The equations of motion are derived fur flexural vibrations of symmetrical, multi-layer laminated plates. The damping ratio and modal damping of the first bending and torsional modes are calculated by means of iterative complex eigensolution method. (omitted)

  • PDF