• Title/Summary/Keyword: adaptive control law

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Model Reference Adaptive Control Using $\delta$-Operator of Hydraulic Servosystem (유압 서보계의 $\delta$연산자를 이용한 모델기준형적응제어)

  • Kim, Ki-Hong;Yoon, Il-Ro;Yum, Man-Oh
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.11
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    • pp.151-157
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    • 2000
  • The MRAC theory has proved to be one of the most popular algorithms in the field of adaptive control, particularly for practical application to devices such as an hydraulic servosystem of which parameters are unknown or varying during operation. For small sampling period, the discrete time system becomes a nonminimal phase system. The $\delta$-MRAC was introduced to obtain the control performance of nonminimal phase system, because the z-MRAC can not control the plant for small sampling period. In this paper, $\delta$-MRAC is applied to the control of an hydraulic servosystem which is composed of servovalve, hydraulic cylinder and inertia load.

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A Robust Adaptive Direct Controller for Non-Linear First Order Systems

  • Nguyen, Thi-Hong-Thanh;Cu, Xuan-Thinh;Nguyen, Thi-Minh-Huong;Ha, Thi-Hoan;Nguyen, Dac-Hai;Tran, Van-Truong
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.990-993
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    • 2005
  • This paper presents new results on designing a robust adaptive direct controller for a class of non-linear first order systems. The designing method based on the use of dead zone in the parameters' update law. It is shown that the size of the dead zone does not depend on the upper bounds of the disturbances. That means that even if the bounds are large, the tracking error will always converge to a set of the dead zone size. However, in the ideal case, when the exogenous signal functions and the function represents un-modeled dynamics of the systems equal to zero, the proposed controller does nt mean the convergence to zero of the tracking error. Computer simulation results show the effectiveness of the controller in dealing with the stated problems.

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Design of an Adaptive Fuzzy Logic Controller using Sliding Mode Scheme

  • Kwak, Seong-Woo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.9 no.6
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    • pp.577-582
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    • 1999
  • Using a sole input variable simplifies the design process for the fuzzy logic controller(FLC). This is called single-input fuzzy logic controller(SFLC). However it is still deficient in the capability of adapting to the varying operating conditions. We here design a single-input adaptive fuzzy logic controller(AFLC) using a switching function of the sliding mode control. The AFLC can directly incorporate linguistic fuzzy control rules into the controller. Hence some parameters of the membership functions characterizing the linguistic terms of the fuzzy rules can be adjusted by an adaptive law. In the proposed AFLC center values of fuzzy sets are directly adjusted by a fuzzy logic system. We prove that 1) its closed-loop system is globally stable in the sense that all signals involved are bounded and 2)its tracking error converges to zero asymptotically. We perform computer simulation using a nonlinear plant.

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Robust Control of Nonlinear Systems with Adaptive Fuzzy System (적응 퍼지 시스템을 이용한 비선형 시스템의 강인 제어)

  • 구근모;왕보현
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.158-161
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    • 1996
  • A robust adaptive tracking control architecture is proposed for a class of continuous-time nonlinear dynamic systems for which an explicit linear parameterization of the uncertainty in the dynamics is either unknown or impossible. The architecture employs an adaptive fuzzy system to compensate for the uncertainty of the plant. In order to improve the robustness under approximation errors and disturbances, the proposed architecture includes deadzone in adaptation laws. Unlike the previously proposed schemes, the magnitude of approximate errors and disturbances is not required in the determination of the deadzone size, since it is estimated using the adaptation law. The proposed algorithm is proven to be globally stable in the Lyapunov sense, with tracking errors converging to the proposed architecture.

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The Control of Switched Reluctance Motor Using MRAS without Speed and Position Sensors (MRAS 관측기를 이용한 SRM의 속도 및 위치센서없는 제어)

  • Yang, Lee-U;Kim, Jin-Su;Kim, Yeong-Seok
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.48 no.11
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    • pp.632-639
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    • 1999
  • SRM(Switched Reluctance Motor) drives require the accurate position and speed information of the rotor. These informations are generally provided by a shaft encoder or resolver. High temperature, EMI, and dust may make detection performance deteriorate. Therefore, the elimination of the position and speed sensor is desirable. In this paper, a nonlinear adaptive observer using the MRAS(Model Reference Adaptive System) is proposed. The rotor speed and position are estimated by the adaptation law using the real and estimated currents. The stability of the adaptive observer is proved by Lyapunov stability theory. The proposed methods are implemented with TMS320C31 DSP. Experimental results prove that the observer has a good estimation performance of the rotor speed and position despite of the parameter variations and loads, and the speed control can be accomplished in the wide speed range.

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Automatic Performance Tuning of PID Trajectory Tracking Controller for Robotic Systems (로봇 시스템에 대한 PID 궤적추종 제어기의 자동 성능동조)

  • 최영진
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.6
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    • pp.510-518
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    • 2004
  • The PID trajectory tracking controller for robotic systems shows performance limitation imposed by inverse dynamics according to desired trajectory. Since the equilibrium point can not be defined for the control system involving performance limitation, we define newly the quasi-equilibrium region as an alternative for equilibrium point. This analysis result of performance limitation can guide us the auto-tuning method for PID controller. Also, the quasi-equilibrium region is used as the target performance of auto-tuning PID trajectory tracking controller. The auto-tuning law is derived from the direct adaptive control scheme, based on the extended disturbance input-to-state stability and the characteristics of performance limitation. Finally, experimental results show that the target performance can be achieved by the proposed automatic tuning method.

Optimal trajectory control of robotic manipulators (로보틱 메니플레이터의 최적 경로 제어)

  • Park, Hyun-Woo;Bae, Jun-Kyung;Park, Chong-Kuk
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.421-424
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    • 1987
  • Recently, the problem associated with the achievement of desired trajectories for non-linear robotic manipulatory systems are researched. The control system which is designed for this robot manipulator, poses a number of severe problem. The methods proposed to deal with the problem fall loosely into three main classes : "direct" "adaptive", "anthropomorphic". Besides there is an approach which is described based upon the application of optimal control theory. In this paper, using the optimal theory, we choose error-coordinate, between the desired trajectories and the practical as the state values, and determine the control law U which minimize a corresponding performance criterion. Let's consider the robotic arm proposed by Freund and set up the deviations of it's trajectory as a measure of performance. To find the optimal control law $U^*$ and the next state value which need to obtain $U^*$ here, we should introduced the conjugate gradient algorithm and the Runge Kutta method.

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An FPGA-Based Modified Adaptive PID Controller for DC/DC Buck Converters

  • Lv, Ling;Chang, Changyuan;Zhou, Zhiqi;Yuan, Yubo
    • Journal of Power Electronics
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    • v.15 no.2
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    • pp.346-355
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    • 2015
  • On the basis of the conventional PID control algorithm, a modified adaptive PID (MA-PID) control algorithm is presented to improve the steady-state and dynamic performance of closed-loop systems. The proposed method has a straightforward structure without excessively increasing the complexity and cost. It can adaptively adjust the values of the control parameters ($K_p$, $K_i$ and $K_d$) by following a new control law. Simulation results show that the line transient response of the MA-PID is better than that of the adaptive digital PID because the differential coefficient $K_d$ is introduced to changes. In addition, experimental results based on a FPGA indicate that the MA-PID control algorithm reduces the recovery time by 62.5% in response to a 1V line transient, 50% in response to a 500mA load transient, and 23.6% in response to a steady-state deviation, when compared with the conventional PID control algorithm.

A Study on the Design of Adaptive Nonlinear Controller using Backstepping Technique (백스테핑 기법을 이용한 적응 비선형 제어기 설계에 관한 연구)

  • Kim, Min-Soo;Hyun, Keun-Ho;Lee, Hyung-Chan;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.588-591
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    • 1998
  • In this paper, we present a robust adaptive backstepping output feedback controller for nonlinear systems perturbed by unmodelled dynamics and disturbances. Especially, backstepping technique with modular approach is used to separately design controller and identifier. The design of identifier is based on the observer-based scheme which possesses a strict passivity property of observer error system. We will use Switching-${\sigma}$ modification at the update law and the modified control law to attenuate the effects of undodelled dynamics and disturbances for nonlinear systems.

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An output feedback control based on the adaptatation law for the estimation of the bound of the uncertainty (Uncertainty의 경계치 추정기법을 기초로 한 출력궤환제어)

  • Yoo, Dong-Sang;Choi, Han-Ho;Chung, Myung-Jin
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.687-690
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    • 1991
  • In deterministic design of feedback controllers for uncertain dynamical systems, the bound on the uncertainty is an important clue to guarantee the asymptotic stability or uniform ultimate boundedness of the closed-loop system. In this paper, using only the measurable output we propose an adaptation law for the estimation of the bound of the uncertainty. And based on this adaptation law an adaptive control which renders the uncertain dynamical systems uniformly ultimately bounded is constructed.

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