• Title/Summary/Keyword: robust adaptive law

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On the robust adaptive linearizing control for unknown and analytic relay nonlinearity

  • Lee, Jae-Kwan;Abe, Ken-ichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.177-180
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    • 1996
  • The purpose of this paper is to design a robust adaptive control algorithm for a class of systems having continuous relay nonlinearity. This continuous relay nonlinearity can be defined as an analytic nonlinear function having unknown parameters and bounded unmodeling part. By this mathematical modeling, the whole system can be considered as a nonlinear system having unknown parameters and bounded perturbation. The control algorithm of this paper, RALC, can be constructed by robust adaptive law, feedback linearization, and indirect robust adaptive control. By this RALC, we can obtain that the output of given system can follow that of a stable reference linear model made by designer and the boundedness of all signals in closed-loop system can be maintained. Therefore, we can confirm a robust adaptive control for a class of systems having continuous relay nonlinearity.

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Design of A Robust Adaptive Controller for A Class of Uncertain Non-linear Systesms with Time-delay Input

  • 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.1955-1959
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    • 2005
  • This paper presents a systematic analysis and a simple design of a robust adaptive control law for a class of non linear systems with modeling errors and a time-delay input. The theory for designing a robust adaptive control law based on input- output feedback linearization of non linear systems with uncertainties and a time-delay in the manipulated input by the approach of parameterized state feedback control is presented. The main advantage of this method is that the parameterized state feedback control law can effectively suppress the effect of the most parts of nonlinearities, including system uncertainties and time-delay input in the pp-coupling perturbation form and the relative order of non linear systems is not limited.

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Robust Adaptive Control of A HexaSlide Type Parallel Manipulator

  • Kim, Jong-Phil;Kim, Sung-Gaun;Ryu, Jeha
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.4
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    • pp.262-267
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    • 2001
  • Jeha Ryu Department of Mechatronics, Kwangju Institute of Science and Technology This paper presents an application of a robust adaptive control strategy to HexaSlide type six degrees-of-freedom parallel manipulators. The HexaSlide type parallel manipulators are characterized as an architecture with constant link lengths that are attached to moving sliders on the ground and to a mobile platform. The proposed control law is developed based on a simplified second order system dynamic equation in joint space with uncertain mass, damper, spring, and Coulomb friction terms. These uncertain parameters are updated by an adaptation law that is derived by Lyapunov stability theorem. A robust adaptive control law by using the boundary layer is designed for the purpose of compensating for the neglected dynamic effects of the mobile platform and the six moving links that are modeled as a disturbance term. Experimental results show good and fast tracking performance.

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$H^{\infty}$ robust adaptive controller design with parameter uncertainty, unmodeled dynamic and bounded noise (파라미터 불확실성,모델 불확실성,한계 잡음에 대한 $H^{\infty}$ 적응제어기 설계)

  • Baek, Nam-Seok;Yang, Won-Young
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.454-456
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    • 1998
  • Traditional adaptive control algorithms are not robust to dynamic uncertainties. The adaptive control algorithms developed previously to deal with dynamic uncertainties do not facilitate quantitative design. We proposed a new robust adaptive control algorithms consists of an $H^{\infty}$ suboptimal control law and a robust parameter estimator. Numerical examples showing the effectiveness of the $H^{\infty}$ adaptive scheme are provided.

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A Robust Adaptive Friction Control of Robot Manipulators using Sliding Surface (슬라이딩 표면을 이용한 로봇 매니퓰레이터의 강건한 적응 마찰 제어)

  • Bae, Jun-Kyung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.11
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    • pp.2139-2146
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    • 2011
  • In this paper, a robust adaptive controller is proposed for trajectory tracking of robot manipulators with the unknown friction coefficient and bounded disturbance. A new adaptive control law is developed based on sliding mode and derived from the Lyapunov stability analysis. The introduction of a boundary layer solves the problem of chattering. The proposed adaptive controller is globally asymptotically stable and guarantees zero steady state error for joint positions. The estimated friction coefficients can also approach the actual coefficients asymptotically. A simulation example is provided to demonstrate the performance of the proposed algorithm.

Robust Adaptive Control for a Class of Nonlinear Systems with Complex Uncertainties

  • Seo, Sang-Bo;Back, Ju-Hoon;Shim, Hyung-Bo;Seo, Jin-H.
    • Journal of Electrical Engineering and Technology
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    • v.4 no.2
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    • pp.292-300
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    • 2009
  • This paper considers a robust adaptive stabilization problem for a class of uncertain nonlinear systems which include an unknown virtual control coefficient, an unknown constant parameter, and a time-varying disturbance whose bound is unknown, We propose a new estimator for an un-known virtual control coefficient and present a robust adaptive backstepping design procedure which results in a smooth state feedback control law, a new two-dimensional parameter update law, and a $C^1$ Lyapunov function which is positive definite and proper.

Design of an Adaptive Robust Nonlinear Predictive Controller (적응성을 가진 강인한 비선형 예측제어기 설계)

  • Park, Gee--Yong;Yoon, Ji-Sup
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.12
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    • pp.967-972
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    • 2001
  • In this paper, an adaptive robust nonlinear predictive controller is developed for the continuous time nonlinear systems whose control objective is composed of the system output and its desired value. The basic control law is derived from the continuous time prediction model and its feedback dynamcis shows another from if input and output linearization. In order to cope with the parameter uncertainty, robust control is incorporated into the basic control law and the asymptotic convergence of tracking error to a certain bounded region is guaranteed. For stability and performance improvement within the bounded region, an adaptive control is introduced. Simulation tests for the motion control of an underwater wall-ranging robot confirm the performance improvement and the robustness of this controller.

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ADAPTIVE SLICING ODE CONTROL USING FUZZY LOGIC SYSTEM

  • Yoo, Byungkook;Jeoung, Sacheul;Ham, Woonchul
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.26-30
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    • 1995
  • In this study, the fuzzy approximator and sliding mode control (SMC) scheme are considered. An adaptive sliding mode control is proposed based on the SMC theory. This proposed control scheme is that a adaptive law is utilized to approximate the unknown function f by fuzzy logic system in designing the sliding mode controller for the nonlinear system. In order to reduce the approximation errors, the differences of nonlinear function and fuzzy approximator, an adaptive law is also intoduced and the stability of proposed control scheme are proven with simple adaptive law and roburst adaptive law. This proposed control scheme is applied to a single link robot arm.

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Robust adaptive fuzzy controller for an inverted pendulum

  • Seo, Sam-Jun;Kim, Dong-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1267-1271
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    • 2003
  • This paper proposes an indirect adaptive fuzzy controller for general SISO nonlinear systems. No a priori information on bounding constants of uncertainties including reconstruction errors and optimal fuzzy parameters is needed. The control law and the update laws for fuzzy rule structure and estimates of fuzzy parameters and bounding constants are determined so that the Lyapunov stability of the whole closed loop system is guaranteed. The computer simulation results for an inverted pendulum system show the performance of the proposed robust adaptive fuzzy controller.

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