• Title/Summary/Keyword: linear time-invariant discrete-time systems

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An Overview of Learning Control in Robot Applications

  • Ryu, Yeong-Soon
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1996.10a
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    • pp.6-10
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    • 1996
  • This paper presents an overview of research results obtained by the authors in a series of publications. Methods are developed both for time-varying and time-invariant for linear and nonlinear. for time domain and frequency domain . and for discrete-time and continuous-time systems. Among the topics presented are: 1. Learning control based on integral control concepts applied in the repetition domain. 2. New algorithms that give improved transient response of the indirect adaptive control ideas. 4. Direct model reference learning control. 5 . Learning control based frequency domain. 6. Use of neural networks in learning control. 7. Decentralized learning controllers. These learning algorithms apply to robot control. The decentralized learning control laws are important in such applications becaused of the usual robot decentralized controller structured.

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Robustness analysis of pole assignment in a specified circle for perturbed systems (섭동 시스템에 대한 규정된 원 내로의 극점배치 견실성 해석)

  • Kim, Ga-Gue;Choi, Bong-Yeol
    • Journal of Institute of Control, Robotics and Systems
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    • v.1 no.2
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    • pp.78-82
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    • 1995
  • In this paper, we consider the robustness analysis problem in state space models with linear time invariant perturbations. Based upon the discrete-time Lyapunov approach, sufficient conditions are derived for the eigenvalues of perturbed matrix to be located in a circle, and robustness bounds on perturbations are obtained. Spaecially, for the case of a diagonalizable hermitian matrix the bound is given in terms of the nominal matrix without the solution of Lyapunov equation. This robustness analysis takes account not only of stability robustness but also of certain types of performance robustness. For two perturbation classes resulting bounds are shown to be improved over the existing ones. Examples given include comparison of the proposed analysis method with existing one.

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Stability Conditions for Positive Time-Varying Discrete Interval System with Unstructured Uncertainty (비구조화 불확실성을 갖는 양의 시변 이산 구간 시스템의 안정 조건)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
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    • v.23 no.6
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    • pp.577-583
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    • 2019
  • A dynamic system is called positive if any trajectory of the system starting from non-negative initial states remains forever non-negative for non-negative controls. In this paper, we consider the new stability condition for the positive time-varying linear discrete interval systems with time-varying delay and unstructured uncertainty. The delay time is considered as time-varying within certain interval having minimum and maximum values and the system is subjected to nonlinear unstructured uncertainty which only gives information on uncertainty magnitude. The proposed stability condition is an improvement of the previous results which can be applied only to time-invariant systems or had no consideration of uncertainty, and they can be expressed in the form of a very simple inequality. The stability conditions are derived using the Lyapunov stability theory and have many advantages over previous results using the upper solution bound of the Lyapunov equation. Through numerical example, the proposed stability conditions are proven to be effective and can include the existing results.

Error Free Butcher Algorithms for Linear Electrical Circuits

  • Murugesan, K.;Gopalan, N.P.;Gopal, Devarajan
    • ETRI Journal
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    • v.27 no.2
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    • pp.195-205
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    • 2005
  • In this paper, an error-free Butcher algorithm is introduced to study the singular system of a linear electrical circuit for time invariant and time varying cases. The discrete solutions obtained using Runge-Kutta (RK)-Butcher algorithms are compared with the exact solutions of the electrical circuit problem and are found to be very accurate. Stability regions for the single term Walsh series (STWS) method and the RK-Butcher algorithm are presented. Error graphs for inductor currents and capacitor voltages are presented in a graphical form to show the efficiency of the RK-Butcher algorithm. This RK-Butcher algorithm can be easily implemented in a digital computer for any singular system of electrical circuits.

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The Reduction of Pass Band Error in the Order Reduction of the Discrete Time Linear Systems (이산시간 선형 시스템의 차수 감소에 있어서 대역통과 오차 감소)

  • 김정화;정찬수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.1
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    • pp.11-19
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    • 1992
  • This paper proposes a reduced order method which reduces passband error by changing controllability and observability gramian based on weighted functions in the linear time invariant system. In the case that the 4-order model is the reduced to 3-order model in the low-pass filter, the QEI in the proposed method is improved to 6.15724 compared to 10.16464 in the balanced realization method and the sensitivity is improved to 5.45962 compared to 7.790568. The frequency property curves show that the proposed method is superior to the balanced realization method.

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Parameter Reduction in Digital Adaptive Flight Control System for Spaceplanes

  • Togasaki, Yoshihiro;Shimada, Yuzo;Uchiyama, Kenji
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.995-1000
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    • 2004
  • A digital adaptive flight control system is presented for a Japanese automatic landing flight experiment vehicle (ALFLEX). In previous adaptive control systems based on a linear-parameter-varying (LPV) form, the output behavior was excellent, while the behavior of the adjusted parameters was unsatisfactory. In the present study, to obtain a more appropriate parameter adjustment law, the relationship between the coefficient matrices in a continuous-time state equation and the coefficients of a pulse transfer function in a discrete system for conventional aircraft is investigated. As a result, it is revealed that the coefficients of the numerator can be treated as a linear function of dynamic pressure (linear-parameter-varying: LPV), while the coefficients of the denominator can be treated as constant (linear-time-invariant: LTI). From the above analysis, an improved parameter adjustment law is derived by reducing the number of the adjustment parameters. Simulation results also revealed both good output tracking and good parameter adjustment compared with the previous results.

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Fault Diagnosis and Control Reconfiguration of an Aircraft with Multiplicative Faults by Parity Space Approach (패리티 공간 방법을 이용한 항공기의 고장진단 및 제어기 재구성)

  • 이승우;최재원
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.131-131
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    • 2000
  • In this paper, a design method of a fault diagnosis filter for a system with multiplicative faults which cause to change its parameters is developed. Linear time-invariant systems are dealt with in discrete-time domain. The residual which is sensitive to a damage of control surface of an aircraft by parity space approach is defined. Next, the fault is isolated by a new decision logic. Control reconfiguration is achieved by the result of fault diagnosis. Finally, the feasibility of the method is illustrated with a simulation study of a fault diagnosis system for a damaged control surface of an aircraft.

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Robust output feedback compensator design for multivariable systems

  • Choi, Han-Ho;Yoo, Dong-Sang;Chung, Myung-Jin
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1545-1548
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    • 1991
  • In this note, we consider a robust linear shift-invariant feedback compensator design for discrete-time multivariable systems which have both matched and mismatched uncertainties. In order to attack the problem of designing robust compensators guaranteeing uniform ultimate boundedness of every closed-loop system response within a neighborhood of the zero state based solely on the knowledge of the upper norm-bounds of uncertainties, we use an approach which is effective on studying augmented feedback control systems with both mismatched and matched uncertainties. We draw some robust stability conditions using the approach and give an example.

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Data fusion based improved HOSM observer for smart structure control

  • Arunshankar, J.
    • Smart Structures and Systems
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    • v.24 no.2
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    • pp.257-266
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    • 2019
  • The benefit of data fusion in improving the performance of Higher Order Sliding Mode (HOSM) observer is brought out in this paper. This improvement in the performance of HOSM observer, resulted in the improvement of active vibration control of a piezo actuated structure, when controlled by a Discrete Sliding Mode Controller (DSMC). The structure is embedded with two piezo sensors for measuring the first two vibrating modes. The fused output of sensors is applied to the HOSM observer for generating state estimates, these states generated are applied to the DSMC, designed for the fourth order linear time invariant model of the structure. In the simulation study, the structure is excited at the first and second mode resonance. It is found that better vibration suppression is obtained, when the states generated by the fused output of sensors is applied as controller input, than the vibration suppression obtained by applying the states generated by using individual sensor output. The closed loop performance of DSMC obtained with HOSM observer is compared with the closed loop performance obtained with the conventional observer. Results obtained shows that better vibration suppression is obtained when the states generated by HOSM observer is applied as controller input.

System Identification Using Observer Kalman filter Identification

  • Ryu, Hee-Seob;Yoo, Ho-Jun;Kim, Dae-Woo
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.52.6-52
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    • 2002
  • The method of identifying the plant models in this paper is the Observer Kalman filter identification (OKID) method. This method of system identification has several pertinent advantages. First, it assumes that the system in question is a discrete linear time-invariant (LTI) state-space system. Second, it requires only input and output data to formulate the model, no a priori knowledge of the system is needed. Third, the OKID method produces a psudo-Kalman state estimator, which is very useful for control applications. Last, the modal balanced realization of the system model means that tuncation errors will be small. Thus, even in the case of model order error the results of that error will...

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