• Title/Summary/Keyword: Nonlinear feedback linearization

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Stability Proof of NFL-FOO/SMC : Part 1 (NFL-FOO/SMC의 안정도 증명 : Part 1)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.973-975
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    • 1998
  • For a nonlinear feedback linearization-full order observer/sliding mode controller (NFL-FOO/SMC), the separation principle is derived, and the closed-loop stability is proved by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

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Stability Proof of NFL-FOO-based SMC : Part 5 (NFL-FOO에 기준한 SMC의 안정도 증명 : Part 5)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.985-987
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    • 1998
  • This paper presents a stability proof for the nonlinear feedback linearization-full order observer-based sliding mode controller (NFL-FOO-based SMC). The closed-loop stability is proved by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

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Stability Proof of NFL-ROO/SMC : Part 2 (NFL-ROO/SMC의 안정도 증명 : Part 2)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.976-978
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    • 1998
  • This paper presents the stability proof of a nonlinear feedback linearization-reduced order observer/sliding mode controller (NFL-ROO/SMC). The closed-loop stability is proved by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

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Stability Proof of NFL-O/SMMFC : Part 3 (NFL-O/SMMFC의 안정도 증명 : Part 3)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.979-981
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    • 1998
  • This paper presents a stability proof for the nonlinear feedback linearization-observer/sliding mode model following controller (NFL-O/SMMFC). The separation principle is derived, and the closed-loop stability is proved by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

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Stability Proof of NFL-ROO-based SMC : Part 6 (NFL-ROO에 기준한 SMC의 안정도 증명 : Part 6)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.988-990
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    • 1998
  • This paper presents the stability proof of a nonlinear feedback linearization-reduced order observer-based sliding mode controller (NFL-ROO-based SMC). The closed-loop stability is proved by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

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Stability Proof of NFL-O-based SMMFC : Part 7 (NFL-O에 기준한 SMMFC의 안정도 증명 : Part 7)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.991-993
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    • 1998
  • This paper presents a stability proof for the nonlinear feedback linearization-observer-based sliding mode model following controller (NFL-O-based SMMFC). The closed-loop stability is proved by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

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A Dynamic Anti-windup Scheme for Input-constrained Feedback Linearizable Nonlinear Systems (궤환선형화 가능한 비선형 시스템의 입력제한을 고려한 동적 와인드엎 방지)

  • 윤성식;박종구;윤태웅
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.534-534
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    • 2000
  • This paper proposes a dynamic compensation scheme for input-constrained feedback linearizable nonlinear systems to cope with the windup phenomenon. Given a feedback linearizing controller for such a nonlinear system designed without considering its input constraint, an additional dynamic compensator is proposed to account for the constraint. This dynamic anti-windup is based on the minimization of a reasonable performance index, and some stability properties of the resulting closed-loop are presented.

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Application of the nonlinear transformation and linear state state feedback control to nonlinear hydraulic servo system (비선형 유압 서보시스템의 비선형 변환 및 이에 대한 선형제어에 관한 연구)

  • 김영준;장효환
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.272-275
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    • 1989
  • In this paper feedback linearization of valve-controlled nonlinear hydraulic velocity control system is studied. The $C^{\infty}$ nonlinear transformation T is obtained, and it is shown that this transformation is global one. Linear equivalence of nonlinear hydraulic velocity control system is obtained by this global nonlinear transformation, and linear state feedback control law is applied to this linear model. It is shown that this transformation method is to the linear approximation by simulation study..

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Robust Stabilization of Uncertain Nonlinear Systems via Fuzzy Modeling and Numerical Optimization Programming

  • Lee Jongbae;Park Chang-Woo;Sung Ha-Gyeong;Lim Joonhong
    • International Journal of Control, Automation, and Systems
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    • v.3 no.2
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    • pp.225-235
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    • 2005
  • This paper presents the robust stability analysis and design methodology of the fuzzy feedback linearization control systems. Uncertainty and disturbances with known bounds are assumed to be included in the Takagi-Sugeno (TS) fuzzy models representing the nonlinear plants. $L_2$ robust stability of the closed system is analyzed by casting the systems into the diagonal norm bounded linear differential inclusions (DNLDI) formulation. Based on the linear matrix inequality (LMI) optimization programming, a numerical method for finding the maximum stable ranges of the fuzzy feedback linearization control gains is also proposed. To verify the effectiveness of the proposed scheme, the robust stability analysis and control design examples are given.

Angle and Position Control of Inverted Pendulum on a Cart Using Partial Feedback Linearization

  • Yeom, Dong-Hae;Choi, Jin-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1382-1386
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    • 2003
  • In this paper, we propose a controller for the position of a cart and the angle of a pendulum. To achieve both purposes simultaneously, we divide the system into the dominant subsystem and the dominated one after partial feedback linearization. The proposed controller is composed of a nonlinear controller stabilizing the dominant subsystem and a linear quadratic controller. Using the proposed controller, the controllable region is increased by the nonlinear control part and the control input minimized by the linear control part (LQR).

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