• Title/Summary/Keyword: receding horizon

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RHC for Nonlinear backlash system control (RHC를 이용한 비선형 Backlash 시스템 제어)

  • Yoo, Kyung-Sang
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2471-2473
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    • 2005
  • We present a receding horizon control [RHC] algorithm for compensation of backlash at the input of a stable linear system under control rate constraints. The problem is posed as a receding horizon optimal control [RHOptC] problem for a piecewise affine [PWA] system by modelling the backlash nonlinearity as a PWA system with a state space partition consisting of three regions. The RHC problem involves solving, at each step, $3^N$ quadratic programmes[QP], where N is the optimization horizon. This strategy leads, at the cost of some performance degradation, to much smaller computational load since a feasible rather than optimal solution has to be obtained at each step.

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A Constrained Receding Horizon Estimator with FIR Structures

  • Kim, Pyung-Soo;Lee, Young-Sam
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.4
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    • pp.289-292
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    • 2001
  • This paper concerns with a receding horizon estimator (RHE) for discrete-time linear systems subject to constraints on the estimate. In solving the optimization for every horizons, the past all measurement data outside the horizon is discarded and thus the arrival cost is not considered. The RHE in the current work is a finite impulse response (FIR) structure which has some good inherent properties. The proposed RHE can be represented in the simple matrix form for the unconstrained case. Various numerical examples demonstrate how including constraints in the RHE can improve estimation performance. Especially, in the application to the unknown input estimation, it will be shown how the FIR structure in the RHE can improve the estimation speed.

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A dynamic game approach to robust stabilization of time-varying discrete linear systems via receding horizon control strategy

  • Lee, Jae-Won;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.424-427
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    • 1995
  • In this paper, a control law based on the receding horizon concept which robustly stabilizes time-varying discrete linear systems, is proposed. A dynamic game problem minimizing the worst case performance, is adopted as an optimization problem which should be resolved at every current time. The objective of the proposed control law is to guarantee the closed loop stability and the infinite horizon $H^{\infty}$ norm bound. It is shown that the objective can be achieved by selecting the proper terminal weighting matrices which satisfy the inequality conditions proposed in this paper. An example is included to illustrate the results..

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Input Constrained Receding Horizon $H_{\infty}$ Control : Quadratic Programming Approach

  • Lee, Young-Il
    • 전기의세계
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    • v.49 no.9
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    • pp.9-16
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    • 2000
  • A receding horizon $H_{\infty}$ predictive control method is derived by solving a min-max problem in non-recursive forms. The min-max cost index is converted to a quadratic form which for systems with input saturation can be minimized using QP. Through the use of closed-loop prediction the prediction of states the use of closed-loop prediction the prediction of states in the presence of disturbances are made non-conservative and it become possible to get a tighter $H_{\infty}$ norm bound. Stability conditions and $H_{\infty}$ norm bounds on disturbance rejection are obtained in infinite horizon sence. Polyhedral types of feasible sets for sets and disturbances are adopted to deal with the input constraints. The weight selection procedures are given in terms of LMIs and the algorithm is formulated so that it can be solved via QP. This work is a modified version of an earlier work which was based on ellipsoidal type feasible sets[15].

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Intervalwise Receding Horizon $H_{\infty}$ Tracking Control for Continuous Linear Periodic Systems (연속 시간 선형 주기 시스템에 대한 주기 예측 구간 $H_{\infty}$ 추적 제어)

  • Kim, Ki-Back;Kwon, Wook-Hyun
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1140-1142
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    • 1996
  • In this paper, a fixed-horizon $H_{\infty}$ tracking control (HTC) for continuous time-varying systems is proposed in state-feedback case. The solution is obtained via the dynamic game theory. From HTC, an intervalwise receding horizon $H_{\infty}$ tracking control (IHTC) for continuous periodic systems is obtained using the intervalwise strategy. The conditions under which IHTC stabilizes the closed-loop system are proposed. Under proposed stability conditions, it is shown that IHTC guarantees the $H_{\infty}$-norm bound.

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A Generalized Predictive Self-Tuning Control Using Mean Horizon Control Method (Mean Horizon 제어방식을 사용한 일반화 예측 자기동조 제어)

  • Park, Juong-Il;Chung, Jong-Dae;Park, Keh-Kun
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.9
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    • pp.1039-1045
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    • 1988
  • In the original incremental generalized predictive control, the receding horizon predictive control is introduced as a control law. But in this paper, we propose a generalized predictive self-tuning control using full-valued incremental controls. The control law is a mean horizon predictive control. The effectiveness of this algorithm in a variable time delay or load disturbances environment is demonstrated by computer simulation. The controlled plant is a nonminimum phase system.

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Modified RHKF Filter for Improved DR/GPS Navigation against Uncertain Model Dynamics

  • Cho, Seong-Yun;Lee, Hyung-Keun
    • ETRI Journal
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    • v.34 no.3
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    • pp.379-387
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    • 2012
  • In this paper, an error compensation technique for a dead reckoning (DR) system using a magnetic compass module is proposed. The magnetic compass-based azimuth may include a bias that varies with location due to the surrounding magnetic sources. In this paper, the DR system is integrated with a Global Positioning System (GPS) receiver using a finite impulse response (FIR) filter to reduce errors. This filter can estimate the varying bias more effectively than the conventional Kalman filter, which has an infinite impulse response structure. Moreover, the conventional receding horizon Kalman FIR (RHKF) filter is modified for application in nonlinear systems and to compensate the drawbacks of the RHKF filter. The modified RHKF filter is a novel RHKF filter scheme for nonlinear dynamics. The inverse covariance form of the linearized Kalman filter is combined with a receding horizon FIR strategy. This filter is then combined with an extended Kalman filter to enhance the convergence characteristics of the FIR filter. Also, the receding interval is extended to reduce the computational burden. The performance of the proposed DR/GPS integrated system using the modified RHKF filter is evaluated through simulation.

Speech Enhancement Using Receding Horizon FIR Filtering

  • Kim, Pyung-Soo;Kwon, Wook-Hyu;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.1
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    • pp.7-12
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    • 2000
  • A new speech enhancement algorithm for speech corrupted by slowly varying additive colored noise is suggested based on a state-space signal model. Due to the FIR structure and the unimportance of long-term past information, the receding horizon (RH) FIR filter known to be a best linear unbiased estimation (BLUE) filter is utilized in order to obtain noise-suppressed speech signal. As a special case of the colored noise problem, the suggested approach is generalized to perform the single blind signal separation of two speech signals. It is shown that the exact speech signal is obtained when an incoming speech signal is noise-free.

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Design of a temperature controller in the water-tank system using RHC (이동구간제어를 이용한 물탱크의 온도제어기 설계)

  • Choo, Young-Ok;Chung, Yang-Woong;Lee, Sang-Chul;Chung, Chan-Soo
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.633-635
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    • 1999
  • We design to the temperature control system based on Receding horizon control(RHC) with a terminal output weighting for stochastic state model. This system has a large time delay, a nonlinear temperature characteristics, a perturbation, a disturbance, etc. In this paper, we show that RHC can easily be applied to the system to track the desired temperature, since it takes the receding horizon strategy for both controller and filter.

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