• Title/Summary/Keyword: Nonlinear interconnected systems

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An Adaptive Fuzzy Sliding-Mode Control for Decoupled Nonlinear Systems (분리된 비선형 시스템의 적응 퍼지 슬라이딩모드 제어)

  • Kim, Do-U;Yang, Hae-Won;Yun, Ji-Seop
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.9
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    • pp.719-727
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    • 2002
  • We proposed a decoupled adaptive fuzzy sliding-mode control scheme for a class of fourth-order nonlinear systems. The system is decoupled into two second-order systems such that each subsystem has a separate control target expressed in terms of sliding surface. For these sliding surfaces, we define main and sub target conditions. and, we made intermediate variables which are interconnected both surface conditions from the sub target sliding surface. Then, Two sets of fuzzy rule bases are utilized to represent the equivalent control input with unknown system functions of the main target sliding surface including intermediate variables. The membership functions of the THEN-part, which is used to construct a suitable equivalent control of sliding-mode control, are changed according to the adaptive law. With such a design scheme, we not only maintain the distribution of membership functions over state space but also reduce the computing time considerably. We apply the decoupled adaptive sliding-mode control to a nonlinear Cart-Pole system and confirms the validity of the proposed approach.

Robust Control of Linear Systems Under Structured Nonlinear Time-Varying Perturbations II : Synthesis via Convex Optimazation

  • Bambang, Riyanto-T.;Shimemura, Etsujiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.100-104
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    • 1993
  • In Part 1, we derived robust stability conditions for an LTI interconnected to time-varying nonlinear perturbations belonging to several classes of nonlinearities. These conditions were presented in terms of positive definite solutions to LMI. In this paper we address a problem of synthesizing feedback controllers for linear time-invariant systems under structured time-varying uncertainties, combined with a worst-case H$_{2}$ performance. This problem is introduced in [7, 8, 15, 35] in case of time-invariant uncertainties, where the necessary conditions involve highly coupled linear and nonlinear matrix equations. Such coupled equations are in general difficult to solve. A convex optimization approach will be employed in this synthesis problem in order to avoid solving highly coupled nonlinear matrix equations that commonly arises in multiobjective synthesis problem. Using LMI formulation, this convex optimization problem can in turn be cast as generalized eigenvalue minimization problem, where an attractive algorithm based on the method of centers has been recently introduced to find its solution [30, 361. In the present paper we will restrict our discussion to state feedback case with Popov multipliers. A more general case of output feedback and other types of multipliers will be addressed in a future paper.

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Decentralized control via sensor network and its theoretical approach to design of an active vibration isolator (센서네트워크를 통한 분산제어와 초정밀 방진기 설계에 관한 이론적 접근)

  • Song B.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.519-522
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    • 2005
  • Decentralized Dynamic Surface Control(DDSC) for a class of nonlinear system interconnected via sensor network is presented in this paper. While a centralized design approach of DSC was developed in [1], the decentralized approach to deal with complex large-scale systems is proposed under the assumption that interconnected functions among subsystems are known via sensor network. As shown in [2], the separation principle for DDSC will allow us to design an estimation filter independently. Furthermore, the theoretical results are used to design and simulate an active vibration isolator under the assumption that many embedded sensors are distributed and communicate each other via wireless communication.

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Flexible 효과를 고려한 다물체 시스템의 동역학적 해석에 관한 연구

  • 최승렬;한창수
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1992.10a
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    • pp.349-353
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    • 1992
  • The purpose of this paper is to develop methods for the dynamic analysis of multibody system that consist of interconnected rigid and deformable component. The equations of motion are derived by using the Lagrange's equation and finite element theory for the elastic mechanism systems. The type of equation of motion is the differential algebraic equation included kinematic nonlinear algebraic equation. The generalized coordinate partitioning method is used for solving this equation. To show the validity of this analysis solver, couple of models were canalized and those results were compared with the commercial package(ADAMS).

A Decentralized Fuzzy Controller for Experimental Nonlinear Helicopter Systems (헬리콥터 시스템의 퍼지 분산 제어기 설계)

  • 김문환;이호재;박진배;차대범;주영훈
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.141-144
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    • 2001
  • This paper proposes a decentralized control technique for 2-dimensional experimental helicopter systems. The decentralized control technique is especially suitable in large-scale control systems. We derive the stabilization condition for the interconnected Takagi-Sugeno (75) fuzzy system using the rigorous tool - Lyapunov stability criterion and formulate the controller design condition in terms of linear matrix inequality (LMI). To demonstrate the feasibility of the proposed method, we include the experiment result as well as a computer simulation one, which strongly convinces us the applicability to the industry.

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Fuzzy Output Feedback Controller for Nonlinear Interconnected Systems : An LMI Approach (비선형 상호 결합 시스템의 퍼지 출력 궤한 제어기 설계 : 선형 행렬 부등식 접근)

  • Gu, Geun-Beom;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.48-51
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    • 2007
  • 본 논문에서는 비선형 상호 결합 시스템의 출력 궤환 제어기 설계에 대해서 연구한다. 먼저 퍼지 모델 기법을 이용하여 비선형 상호 연결된 시스템을 Takagi-Sugeno (T-S) 퍼지 모델로 모델링한다. 그 각각의 하위 시스템에 대한 출력 궤한 제어기를 동적 병렬 분산 보상 (DPDC) 기법을 이용하여 퍼지 출력 궤환 제어기로 설계한다. 하위 시스템들의 평형점이 안정화 되는 선형 행렬 부등식 (LMI)를 구하고, 그 부등식을 만족하는 값들로부터 하위 시스템의 제어기 이득을 구한다.

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Decentralized fuzzy output feedback controller for nonlinear interconnected system with time delay (시간 지연이 있는 비선형 상호 결합 시스템의 분산 퍼지 출력 궤환 제어기 설계)

  • Gu, Geun-Beom;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.377-380
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    • 2008
  • 본 논문은 시간 지연을 가지는 비선형 상호 결합 시스템에 대한 분산 퍼지 출력 궤환 제어기를 제시한다. Takagi-Sugeno (T-S) 퍼지 모델링을 통하여 비선형 상호 결합 시스템을 퍼지 모델로 표현한다. 상호 결합 시스템의 하위 퍼지 시스템을 안정화 시킬수 있는 분산 출력 궤한 제어기를 설계한다. 폐루프 하위 시스템들의 안정도 조건을 선형 행렬 부등식으로 나태내고, 부등식을 이용하여 제어기의 이득값을 구한다. 모의실험을 통하여 시간 지연이 있는 비선형 상호 결합 시스템에 대한 분산 퍼지 출력 궤한 제어기의 효용성을 평가한다.

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Modified algorithmic LMI design with applications in aerospace vehicles

  • Chen, Tim;Gu, Anzaldi;Hsieh, Chiayen;Xu, Giustolisi;Wang, Cheng;Chen, C.Y.J.
    • Advances in aircraft and spacecraft science
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    • v.8 no.1
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    • pp.69-85
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    • 2021
  • A modified fuzzy mechanical control of large-scale multiple time delayed dynamic systems in states is considered in this paper. To do this, at the first level, a two-step strategy is proposed to divide a large system into several interconnected subsystems. As a modified fuzzy control command, the next was received as feedback theory based on the energetic function and the LMI optimal stability criteria which allow researchers to solve this problem and have the whole system in asymptotically stability. Modeling the Fisher equation and the temperature gauge for high-speed aircraft and spacecraft shows that the calculation method is efficient.

Damage propagation for aircraft structural analysis of composite materials

  • Hung, C.C.;Nguyen, T.
    • Advances in aircraft and spacecraft science
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    • v.9 no.2
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    • pp.149-167
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    • 2022
  • A Modified fuzzy mechanical control of large-scale multiple time delayed dynamic systems in states is considered in this paper. To do this, at the first level, a two-step strategy is proposed to divide a large system into several interconnected subsystems. And we focus on the damage propagation for aircraft structural analysis of composite materials. As a modified fuzzy control command, the next was received as feedback theory based on the energetic function and the LMI optimal stability criteria which allow researchers to solve this problem and have the whole system in asymptotically stability. And we focus on the results which shows the high effective by the proposed theory utilized for damage propagation for aircraft structural analysis of composite materials.

A Decentralized Control Technique for Experimental Nonlinear Helicopter Systems (헬리콥터 시스템의 퍼지 분산 제어기 설계)

  • Kim, Moon-Hwan;Park, Jin-Bae;Lee, Ho-Jae;Cha, Dae-Bum;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.1
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    • pp.80-84
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    • 2002
  • This paper proposes a decentralized control technique for 2-dimensional experimental helicopter systems. The decentralized control technique is especially suitable in large-scale control systems. We derive the stabilization condition for the interconnected Takagi-Sugeno (TS) fuzzy system using the rigorous tool-Lyapunov stability criterion and formulate the controller design condition in terms of linear matrix inequality (LMI). To demonstrate the feasibility of the proposed method, we include the experiment result as well as a computer simulation one, which strongly convinces us the applicability to the industry.