• Title/Summary/Keyword: Persistency of excitation

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Design of a Direct Adaptive Pole Placement Controller Without Persistency of Excitation (영구 여기 조건이 불필요한 직접 적응 극배치 제어기의 설계)

  • 신강욱;최홍규;박준열
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.10
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    • pp.1157-1163
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    • 1992
  • The development of adaptive control algorithms for possibly nonminimum phase systems has been hampered by singularities that may arise in the control law. To solve this problem, one securing convergence of the estimates to their true values by inducing persistency of excitation in the plant signals using direct adaptive control method and indirect adaptive control method, and another in which the estimates are adequately modified to meet the controllability requirements using indirect adaptive control method, without persistency of excitation. This paper presents an adaptive scheme that achieves regulation without persistent excitation condition using direct adaptive control method and reduces estimation algorithms with direct estimation of controller parameters without estimation of plant parameters.

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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.

Noise Reduction by Using Eigenfilter in Cyclic Prefix System Based on SNR (SNR에 기초한 순환적 전치 부호를 가지는 시스템에서 고유필터를 사용한 잡음 제거)

  • Kim, Jin-Goog
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39B no.10
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    • pp.700-707
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    • 2014
  • In this paper, we propose the noise reduction method by using the eigenfilter in cyclic prefix system based on SNR. To obtain the signal eigenvectors for the eigenfiltering, we propose a method of obtaining the autocorrelation matrix by exploiting the circulant property of the received block which results from the cyclic extension of the OFDM symbol. Since the structures of the transmitter and the receiver are not changed, the proposed method is easy to apply to the conventional OFDM system. To verify the proposed method, we evaluate the persistency of excitation (POE) criterion for the input and demonstrate the effectiveness of the proposed method in the simulation results.

Design of an Adaptive Robust Controller Based on Explorized Policy Iteration for the Stabilization of Multimachine Power Systems (다기 전력 시스템의 안정화를 위한 탐색화된 정책 반복법 기반 적응형 강인 제어기 설계)

  • Chun, Tae Yoon;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.11
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    • pp.1118-1124
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    • 2014
  • This paper proposes a novel controller design scheme for multimachine power systems based on the explorized policy iteration. Power systems have several uncertainties on system dynamics due to the various effects of interconnections between generators. To solve this problem, the proposed method solves the LQR (Linear Quadratic Regulation) problem of isolated subsystems without the knowledge of a system matrix and the interconnection parameters of multimachine power systems. By selecting the proper performance indices, it guarantees the stability and convergence of the LQ optimal control. To implement the proposed scheme, the least squares based online method is also investigated in terms of PE (Persistency of Excitation), interconnection parameters and exploration signals. Finally, the performance and effectiveness of the proposed algorithm are demonstrated by numerical simulations of three-machine power systems with governor controllers.

Analysis of the Parameter Convergence Rate for an Adaptive Identifier (적응추정자에 대한 파라메터 수렴속도의 해석)

  • Kim, Sung-Duck
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.2
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    • pp.127-136
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    • 1989
  • This paper describes the parameter convergence properties of an adaptive system to identify a single-input single-output plant model. It is demonstrated that, by using power spectrum analysis, the persistency of excitation (PE) condition in order to guarantee the exponential stability of the adaptive control system can be transformed into the positive definite behavior for the auto-correlation function matrix of adaptive signal. The existence of parameter nominal values can be analyzed by this condition and the convergence rates of parameter are determined by examining the auto-correlation function. We may use the sufficient richness (SR) of input spectrum instead of the PE condition to analyze the parameter boundedness. It can be shown that the eigen values of the auto-correlation function are always related with adaptive gain, input amplitude and positions or numbers of input spectra. In each case, the variation of parameter convergence rate can be also verified.

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Adaptive digital control system of flow rates for an OTEC plant

  • Nakamura, Masatoshi;Uehara, Haruo
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10a
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    • pp.753-758
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    • 1987
  • The purpose of ocean thermal energy conversion (OTEC) plant control is to provide stable power efficiently by appropriately regulating the seawater flow rates and the working fluid flow rate under conditions of continually changing seawater temperatures. This paper describes digital control of working fluid flow rate based on an adaptive control theory for the "Imari 2" OTEC plant at Saga University. Provisions have been made for linkage between the software of the adaptive control theory and the hardware of the OTEC plant. In implementing the working fluid flow rate control, if persistency of excitation conditions are lost, the algorithm of identification often exhibits bursting phenomena. To avoid this difficulty, the stopping-and-starting rule for identification was derived and was used for the working fluid flow rate control. Satisfactory control performance was then obtained by using this digital control system.ol system.

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A New Adaptive Sliding Mode Observer-Based Control of Induction Motors with Uncertainties (새로운 적응 슬라이딩 모드 관측기에 기초한 불확실성을 갖는 유도전동기 제어)

  • Hwang, Young-Ho;Kim, Hong-Pil;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.1276-1278
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    • 2005
  • In this paper, we propose an adaptive sliding mode observer-based control of induction motors with uncertainties. The proposed adaptive sliding mode flux observer generates estimates both for the unknown parameters(load torque and rotor resistance) and for the unmeasured state variable (rotor fluxes); they converge to the corresponding true value under persistency of excitation which actually holds in typical operating conditions. The proposed controller guarantees speed tracking and bounded signals for every initial condition of the motor. Simulations show that all estimation errors tend quickly to zero so that high tracking performances are achieved both for speed and rotor flux.

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