• 제목/요약/키워드: nonlinear feedback

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T-S 퍼지모델을 이용한 이산 시간 비선형계통의 상태 궤환 선형화 (State Feedback Linearization of Discrete-Time Nonlinear Systems via T-S Fuzzy Model)

  • 김태규;왕법광;박승규;윤태성;안호균;곽군평
    • 한국지능시스템학회논문지
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    • 제19권6호
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    • pp.865-871
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    • 2009
  • 본 논문은 이산 시간 비선형 시스템을 이산 시간 T-S 퍼지 모델에 의해 표현되는 새로운 궤환 선형화에 대해서 논한다. T-S fuzzy 모델의 국부적인 선형 모델들은 각각 가제어 표준형으로 변환되어지고, 그것들의 T-S 퍼지 결합은 궤환 선형화 가능한 T-S fuzzy 모델이 된다. 이 모델을 토대로 비선형 상태 궤환 선형 입력이 결정된다. 비선형 상태 변환은 가제어 표준형에 대한 선형 상태 변환으로부터 추론된다. 본 논문에서 제안하는 방법은 충분한 수학적 배경이 요구되는 고전적인 궤환 선형화 기법과 비교하여 수학적으로 보다 직관적이고 이해하기 쉽다. 본 논문의 궤환 선형화 조건은 고전적인 궤환 선형화와 비교하여 더 완화되었다. 이것은 고전적인 선형화방식 보다 더 큰 범주의 비선형 시스템이 선형화가 가능해진다는 것을 의미 한다.

출력피드백에 의한 비매칭 불확실성이 있는 비선형계의 제어 (Control of nonlinear systems with mismatched uncertainties using an output feedback)

  • 박창용;성열완;권오규
    • 대한기계학회논문집A
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    • 제21권8호
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    • pp.1188-1194
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    • 1997
  • In this paper, we design output feedback nonlinear dynamic control law by using state feedback nonlinear dynamic compensator and PI observer and show that the controller can stabilize globally and asymptotically a class of nonlinear systems with mismatched uncertainties. We also show that it is possible for a nonlinear system to use the output of PI observer in place of state variables in case that the nonlinear dynamic control law is used, similarly as in the linear system. The effectiveness of the proposed control law is demonstrated by a numerical simulation.

출력피드백에 의한 비매칭 불확실성이 있는 비선형계의 제어 (Control of Nonlinear Systems with Mismatched Uncertainties Using an Output Feedback)

  • 박창용;성열완;권오규
    • 대한기계학회논문집A
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    • 제21권8호
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    • pp.1184-1184
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    • 1997
  • In this paper, we design output feedback nonlinear dynamic control law by using state feedback nonlinear dynamic compensator and PI observer and show that the controller can stabilized globally and asymptotically a class of nonlinear systems with mismatched uncertainties. We also show that it is possible for a nonlinear system to use the output of PI observer in place of state variables in case that the nonlinear dynamic control law is used, similarly as in the linear system. The effectiveness of the proposed control law is demonstrated by a numerical simulation.

Chaos in PID Controlled Nonlinear Systems

  • Ablay, Gunyaz
    • Journal of Electrical Engineering and Technology
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    • 제10권4호
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    • pp.1843-1850
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    • 2015
  • Controlling nonlinear systems with linear feedback control methods can lead to chaotic behaviors. Order increase in system dynamics due to integral control and control parameter variations in PID controlled nonlinear systems are studied for possible chaos regions in the closed-loop system dynamics. The Lur’e form of the feedback systems are analyzed with Routh’s stability criterion and describing function analysis for chaos prediction. Several novel chaotic systems are generated from second-order nonlinear systems including the simplest continuous-time chaotic system. Analytical and numerical results are provided to verify the existence of the chaotic dynamics.

음향 피드백 경로를 가진 2차 볼테라 시스템의 능동소음제어 (Active noise control of a second-order Volterra system with an acoustic feedback path)

  • 이정재;김경재;서재범;남상원
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 심포지엄 논문집 정보 및 제어부문
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    • pp.238-239
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    • 2008
  • In this paper, active noise control (ANC) of a Volterra system with a nonlinear secondary path is proposed in the presence of a linear acoustic feedback, whereby the conventional ANC of a linear system with online acoustic feedback-path modeling is further extended to ANC of a Volterra system with a linear acoustic feedback path. In particular, the proposed ANC system consists of two adaptive Volterra filters (for nonlinear noise control and nonlinear adaptive noise cancellation) and one feedback-path modeling filter. Simulation results show that the proposed approach yields more effective reduction of disturbances arising from the acoustic feedback, in addition to high nonlinear ANC performance.

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Robust High Gain Adaptive Output Feedback Control for Nonlinear Systems with Uncertain Nonlinearities in Control Input Term

  • Michino, Ryuji;Mizumoto, Ikuro;Iwai, Zenta;Kumon, Makoto
    • International Journal of Control, Automation, and Systems
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    • 제1권1호
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    • pp.19-27
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    • 2003
  • It is well known that one can easily design a high-gain adaptive output feedback control for a class of nonlinear systems which satisfy a certain condition called output feedback exponential passivity (OFEP). The designed high-gain adaptive controller has simple structure and high robustness with regard to bounded disturbances and unknown order of the controlled system. However, from the viewpoint of practical application, it is important to consider a robust control scheme for controlled systems for which some of the assumptions of output feedback stabilization are not valid. In this paper, we design a robust high-gain adaptive output feedback control for the OFEP nonlinear systems with uncertain nonlinearities and/or disturbances. The effectiveness of the proposed method is shown by numerical simulations.

A New Robust Output Feedback Variable Structure Controller for Uncertain More Affine Nonlinear Systems with Mismatched Uncertainties and Matched Disturbance

  • Lee, Jung-Hoon
    • 전기전자학회논문지
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    • 제18권2호
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    • pp.206-213
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    • 2014
  • In this note, a new robust nonlinear output feedback variable structure controller is first systematically and generally designed for the output control of more affine uncertain nonlinear systems with mismatched uncertainties and matched disturbance. A transformed integral output feedback sliding surface with a most simple form is applied in order to remove the reaching phase problems. The closed loop exponential stability and the existence condition of the sliding mode on the integral output feedback sliding surface is investigated with a corresponding output feedback control input in Theorem 1. For practical application the continuous implementation of the control input is made by the modified saturation function. The effectiveness of the proposed controller is verified through a design example and simulation study.

불확실한 pure-feedback 비선형 계통에 대한 출력 궤환 적응 신경망 제어기 (Adaptive Output-feedback Neural Control of uncertain pure-feedback nonlinear systems)

  • 박장현;김성환;장영학;유영재
    • 한국지능시스템학회논문지
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    • 제23권6호
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    • pp.494-499
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    • 2013
  • 본 논문은 불확실한 연속시 단일입력 단일출력 pure-feedback 비선형 계통에 대해서 참고문헌 [15]에서 제안된 상태변수 궤환 적응 신경망 제어 알고리듬을 바탕으로 출력만이 측정 가능한 계통에 적용할 수 있는 출력 궤환 제어기를 제시한다. 고려하는 계통에 대한 출력 궤환 적응 신경망 제어기는 이 분야에서 아직까지 어느 문헌에서도 다루지 않은 주제이다. 제안된 출력 궤환 제어기는 백스테핑을 회피하여 상대적으로 간결한 제어 규칙과 단 하나의 신경망만이 사용된다는 [15]의 장점을 그대로 계승하며 적용되는 비선형 계통의 범주를 더 넓힌다는 의미를 가진다.

A Novel Stabilizing Control for Neural Nonlinear Systems with Time Delays by State and Dynamic Output Feedback

  • Liu, Mei-Qin;Wang, Hui-Fang
    • International Journal of Control, Automation, and Systems
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    • 제6권1호
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    • pp.24-34
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    • 2008
  • A novel neural network model, termed the standard neural network model (SNNM), similar to the nominal model in linear robust control theory, is suggested to facilitate the synthesis of controllers for delayed (or non-delayed) nonlinear systems composed of neural networks. The model is composed of a linear dynamic system and a bounded static delayed (or non-delayed) nonlinear operator. Based on the global asymptotic stability analysis of SNNMs, Static state-feedback controller and dynamic output feedback controller are designed for the SNNMs to stabilize the closed-loop systems, respectively. The control design equations are shown to be a set of linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms to determine the control signals. Most neural-network-based nonlinear systems with time delays or without time delays can be transformed into the SNNMs for controller synthesis in a unified way. Two application examples are given where the SNNMs are employed to synthesize the feedback stabilizing controllers for an SISO nonlinear system modeled by the neural network, and for a chaotic neural network, respectively. Through these examples, it is demonstrated that the SNNM not only makes controller synthesis of neural-network-based systems much easier, but also provides a new approach to the synthesis of the controllers for the other type of nonlinear systems.

Nonlinear Time-Varying Control Based on Differential Geometry

  • Lee, Jong-Yong;Jung, Kye-dong;Cho, Seongsoo;Strzelecki, Michat
    • International Journal of Internet, Broadcasting and Communication
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    • 제6권2호
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    • pp.1-9
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    • 2014
  • This paper presents a study on nonlinear time varying systems based on differential geometry. A brief introduction about controllability and involutivity will be presented. As an example, the exact feedback linearization and the approximate feedback linearization are used in order to show some application examples.