• Title/Summary/Keyword: barrier lyapunov function

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Adaptive Neural Control for Output-Constrained Pure-Feedback Systems (출력 제약된 Pure-Feedback 시스템의 적응 신경망 제어)

  • Kim, Bong Su;Yoo, Sung Jin
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.1
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    • pp.42-47
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    • 2014
  • This paper investigates an adaptive approximation design problem for the tracking control of output-constrained non-affine pure-feedback systems. To satisfy the desired performance without constraint violation, we employ a barrier Lyapunov function which grows to infinity whenever its argument approaches some limits. The main difficulty in dealing with pure-feedback systems considering output constraints is that the system has a non-affine appearance of the constrained variable to be used as a virtual control. To overcome this difficulty, the implicit function theorem and mean value theorem are exploited to assert the existence of the desired virtual and actual controls. The function approximation technique based on adaptive neural networks is used to estimate the desired control inputs. It is shown that all signals in the closed-loop system are uniformly ultimately bounded.

Extended-State-Observer-Based Nonlinear Servo Control of An Electro-Hydrostatic Actuator (전기-정유압 구동기의 확장 상태 관측기 기반 비선형 서보 제어)

  • Jun, Gi Ho;Ahn, Kyoung Kwan
    • Journal of Drive and Control
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    • v.14 no.4
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    • pp.61-70
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    • 2017
  • In this study, an extended-state-observer (ESO) based non-linear servo control is introduced for an electro-hydrostatic actuator (EHA). Almost hydraulic systems not only are highly non-linear system that has mismatched uncertainties and external disturbances, but also can not measure some states. ESO that only use an output signal can be used to compensate these uncertainties and estimate unmeasurable states. To improve the position tracking performance, the barrier Lyapunov function (BLF) that can guarantee an output tolerance is introduced for the position tracking error signal of back stepping control procedures. Finally, the proposed servo control is compared with the proportional-integral (PI) control.