• Title/Summary/Keyword: Guaranteed Cost Control

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Guaranteed Cost Control for Discrete-time Linear Uncertain Systems with Time-varying Delay (시변 시간지연을 가지는 이산 선형 불확실성 시스템에 대한 보장 비용 제어)

  • Kim, Ki-Tae;Cho, Sang-Hyun;Lee, Sang-Kyung;Park, Hong-Bae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.39 no.6
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    • pp.20-26
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    • 2002
  • This paper deals with the guaranteed cost control problems for a class of discrete-time linear uncertain systems with time-varying delay. The uncertain systems under consideration depend on time-varying norm-bounded parameter uncertainties. We address the existence condition and the design method of the memoryless state feedback control law such that the closed loop system not only is quadratically stable but also guarantees an adequate level of performance for all admissible uncertainties. Through some changes of variables and Schur complement, It is shown that the sufficient condition can be rewritten as an LMI(linear matrix inequality) form in terms of all variables.

An Energy-efficient Clustering algorithm using the Guaranteed Distance for Wireless Sensor Networks (무선 센서 네트워크에서의 에너지 효율을 위한 클러스터링 알고리즘)

  • Kim N.H.;Park T.R.;Kwon W.H.;Chang B.S.;Kim Y.H.;Lee B.Y.
    • 한국정보통신설비학회:학술대회논문집
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    • 2004.08a
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    • pp.382-385
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    • 2004
  • In this paper, a new clustering algorithm using the Guaranteed Distance is proposed. In the new algorithm, the appropriate distribution of clusterheads is accomplished by guarantee the stochastic average distance between clusterhead (CH)s. Using this algorithm, the communication cost from clusterheads to their member nodes and the load variance in each clusterheads are reduced. Therefore, the network lifetime can be extended and the fair energy consumption for all nodes can be achieved.

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A study on the stabilizing control of uncertain system with optimal control (최적제어이론을 이용한 불확실한 시스템의 제어 기법 연구)

  • 한형석;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.55-59
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    • 1991
  • This paper presents a method for designing a full state feedback linear static control law. This will stabilize a given linear uncertain system and also guarantee the performance of the system. The uncertain systems are described by state equation which contains uncertain parameters in system and input distribution matrices. The method is based on the guaranteed cost control of Chang and Peng(1972). The controller gain can be obtained by the solution of a algebraic Riccati equation in which the input weighting matrices depend on the uncertainty bounds. The algebraic Riecati equation in this paper is same as that of weighted LQ regulator problem.

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Development and Field Assessment of DO Control System in an Aeration Tank for Automation of Sewage Treatment Plant

  • Jung, In-Chul;Kim, Dae-Yong;Junq, Byung-Gil
    • Journal of Environmental Science International
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    • v.18 no.6
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    • pp.603-608
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    • 2009
  • Activated sludge sewage treatment processes are difficult to be controlled because of their complex and nonlinear behaviour, however, the control of the dissolved oxygen level in the reactors plays an important role in the operation of the facility. For this reason, this study is designed to present a system which accurately measures DO, MLSS, pH and ORP in the aeration tank to alleviate situations above and provide the automatization of a sewage treatment plant (STP) using new DO control system. The automatic control systems must be guaranteed the accuracy. Therefore, the proposed automatic DO control system in this study could be commercial applications in the aeration tanks by means of operating cost analysis and user-friendly for operation and maintenance. We could get accurate data from the lab tank which has water quality checker because there was no vortex and air bubble during the measurement process. Improvement of confidence in the lab tank enabled effective and automatic operation of sewage treatment plants so that operation costs and manpower could be saved. If this result is put in place in every sewage treatment plant nationwide for practical purposes, it is estimated to cost 18.5 million dollars in installing the lab tank and to save 9.8 million dollars in management cost a year, except for cost saved by automation.

V/f Control of the SPMSM with stabilizing loop using a reduced order observer (축소차수 관측기를 이용한 SPMSM의 V/f제어)

  • Park, Soon-Je;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.962-963
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    • 2015
  • This paper proposes a sensorless V/f control method of the interior mounted permanent magnet synchronous motor without damper winding. Arithmetic computation is simpler than vector control. And the lower cost price, dynamics and stability is guaranteed. When the loss of synchronization occurs with the load disturbances, the stability loop with a reduced order observer is applied quickly and accurately to improve the speed error.

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Single Electronic Drive Controlling Two Synchronous Motors Via Modified Vector Control

  • Danbing Seto;Fanping Sun;Jacek F. Gieras;Norbert A.M. Hootsmans
    • Journal of Power Electronics
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    • v.3 no.1
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    • pp.49-54
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    • 2003
  • A novel control scheme of using a single electronic drive to synchronize two synchronous motors is investigated analytically. The developed control strategy extends the conventional vector control technology, Specifically, it utilizes the property that the motion of two motors can be independently controlled by the q-axis currents provided the desired q-axis currents can be achieved by adjusting physical armature currents. The latter part is indeed guaranteed by adding a position offset to one of the motors. This work has a potential of cost saving in practice where the cost of drive is a major concern.

Robust PI controller design using LQ-servo (LQ-servo를 이용한 강인한 PI제어기 설계)

  • 이동영;윤성오;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.577-580
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    • 1996
  • LQ-servo is a stability-robustness guaranteed multivariable controller design method based on the LQR structure to improve command following performance with output feedback. In this paper, a new type of PI controller based on LQ-servo is introduced. Then, Command following performance is improved using the limiting behavior of the control gain and weighting factors on the low frequency part of design parameter Q that is the state weighting matrix in the cost function.

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Robust compensator design for parametric uncertain systems by separated optimizations (분리최적화 기법을 이용한 강인제어기 설계)

  • 김경수;박영진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.589-592
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    • 1996
  • It is well known that robust compensators designed by the block-diagonal Lyapunov function approaches are conservative while they are popular in practice because of their computational easiness. In this note, we develop a systematized version of conventional block-diagonal Lyapunov function approaches by deriving two separated optimizations based on the guaranteed cost control method. The proposed method generates reasonable robust compensators in practice.

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Solvability of Stochastic Discrete Algebraic Riccati Equation

  • Oh, Kyu-Kwon;Okuyama, Yoshifumi
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.33.4-33
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    • 2001
  • This paper considers a stochastic discrete algebraic Riccati equation, which is a generalized version of the well-known standard discrete algebraic Riccati equation, and has additional linear terms. Under controllability, observability and the assumption that the additional terms are not too large, the existence of a positive definite solution is guaranteed. It is shown that it arises in optimal control of a linear discrete-time system with multiplicative White noise and quadratic cost. A numerical example is given.

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Some Properties on Receding Horizon $H_{\infty}$ Control for Nonlinear Discrete-time Systems

  • Ahn, Choon-Ki;Han, Soo-Hee;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.460-465
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    • 2004
  • In this paper, we present some properties on receding horizon $H_{\infty}$ control for nonlinear discrete-time systems. First, we propose the nonlinear inequality condition on the terminal cost for nonlinear discrete-time systems. Under this condition, noninceasing monotonicity of the saddle point value of the finite horizon dynamic game is shown to be guaranteed. We show that the derived condition on the terminal cost ensures the closed-loop internal stability. The proposed receding horizon $H_{\infty}$ control guarantees the infinite horizon $H_{\infty}$ norm bound of the closed-loop systems. Also, using this cost monotonicity condition, we can guarantee the asymptotic infinite horizon optimality of the receding horizon value function. With the additional condition, the global result and the input-to-state stable property of the receding horizon value function are also given. Finally, we derive the stability margin for the saddle point value based receding horizon controller. The proposed result has a larger stability region than the existing inverse optimality based results.

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