• Title/Summary/Keyword: discrete delay

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Controller Synthesis of A Nonlinear System Using Input/Output Linearization and Compensation for Input Time-Delay (비선형 시스템의 입/출력 선형화 제어기 설계와 입력 시간-지연 보상)

  • Cho, Yong-Ho;Chong, Kil-To
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.768-773
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    • 2004
  • This work deals with the synthesis of discrete-time nonlinear controller for input time-delay existing nonlinear system and proposes a new effective method to compensate the influence of input time-delay. The controller is synthesised by using input/output linearization. Under the circumstance that input time-delay exist, controller have to produce future value that will be needed for system. On account of this reason described, a weighted average predictor of combined states is adopted. Using the discretization via Euler method, numerical simulations about Van der Pol system are performed to evaluate performance of the proposed method.

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Robust digital controller for robot manipulators

  • Ishihara, Tadashi
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1671-1676
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    • 1991
  • Direct digital design of computed torque controllers for a robot manipulator is discussed in this paper. A simple discrete-time model of the robot manipulator obtained by Euler's method is used for the design. Taking account of computation delay in the digital processor, we propose predictor-based designs of the PD and PID type controllers. The PID type controller is designed based on a modified version of the discrete-time integral controller proposed by Mita. For both controllers, the same formulas can be used to determine the feedback gains. A simulation example is presented to compare the robustness of the proposed controllers against physical parameter variations.

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Simulation and performance evaluation of J1850 protocol for automotive communication (차량통신용 J1850 프로토콜의 시뮬레이션 및 성능평가)

  • Nam, Sang-Un;Yoon, Jung-A;Lee, Seok
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.816-819
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    • 1996
  • This paper focuses on development of simulation model for SAE J1850 and performance evaluation of a J1850 network. The simulation model has been developed by using discrete event simulation language. SAE J1850 is one of Class B network protocol for general data sharing applications. Through numerous simulation experiments, several important performance factors such as the probability of a successful transmission, average queue delay, and throughput have been evaluated.

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State feedback optimal control of large-scale discrete-time systems with time-delays (시간지연이 있는 대규모 이산시간 시스템의 상태궤환 최적제어)

  • 김경연;전기준
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.219-224
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    • 1988
  • A decentralised computational procedure is proposed for the optimal feedback gain matrix of large-scale discrete-time systems with time-delays. The constant feedback gain matrix is computed from the optimal state and input trajectries obtained hierarchically by the interaction prediction method. All the calculation in this approach are done off-line. The resulting gains are optimal for all the initial conditions. The interaction prediction method is applied to time-delay large-scale systems with general structures by extending the dimensions of coupling matices. A numerical exampie illustrates the algorithm.

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Robust servomechanism problem for linear discrete systems (선형 이산치 시스템의 Robust Servomechanism 문제)

  • ;Na, Seung You
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.135-138
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    • 1987
  • A method for designing a robust tracking controller for linear discrete systems is investigated. Only the observable variables are to be used in the controller synthesis. To insure the robustness, the system is augmented by a compensator at the output side. Then a feedback controller is designed using delayed values of the observable variables for the augmented system. The delay times are chosen to minimize the effect of measurement accuracy and/or noise.

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Pole Assignment Control with Discrete Integral Action (이산형 적분형태를 부가한 극 배치 제어)

  • Oh, Yeon-Sik;Huh, Uk-Youl
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.148-150
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    • 1987
  • In this paper, the pole assignment control algorithm with a discrete integral action is discussed in that it reduces the impact of an external step disturbance upon the output. The sensitivity of output is viewed according to changes of delay-time which this algorithm is applied to a continuous plant with.

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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.

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.

H Fuzzy Control for Discrete-Time Nonlinear Markovian Jump Systems with Time Delay (시간지연을 갖는 이산 비선형 마코비안 점프 시스템의 H 퍼지 제어)

  • Lee, Kap-Rai;Lee, Kyung-Hee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.779-786
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    • 2009
  • This paper deals with $H_{\infty}$ fuzzy control problem of discrete-time nonlinear Markovian jump systems with time delay. The Takgi and Sugeno fuzzy model is employed to represent a delayed nonlinear system that possesses Markovian jump parameters. A stochastic mode dependent Lyapunov function is employed to analyze the stability and $H_{\infty}$ disturbance attenuation performance of the Markovian jump fuzzy system with time delay. Stochastic Lyapunov function is dependent on the operation modes of the system. A sufficient condition for the existence of fuzzy $H_{\infty}$ controller are given in terms of matrix inequalities. Also numerical example is presented to illustrate the efficient of the proposed design methods.

ON A DIFFUSIVE PREDATOR-PREY MODEL WITH STAGE STRUCTURE ON PREY

  • Lee, Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.4
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    • pp.749-756
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    • 2013
  • In this paper, we consider a diffusive delayed predator-prey model with Beddington-DeAngelis type functional response under homogeneous Neumann boundary conditions, where the discrete time delay covers the period from the birth of immature preys to their maturity. We investigate the global existence of nonnegative solutions and the long-term behavior of the time-dependent solution of the model.