• Title/Summary/Keyword: Feedback-Linearization

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Indirect Adaptive Regulator Design Based on TSK Fuzzy Models

  • Park Chang-Woo;Choi Jun-Hyuk;Sung Ha-Gyeong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.1
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    • pp.52-57
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    • 2006
  • In this paper, we have proposed a new adaptive fuzzy control algorithm based on Takagi-Sugeno fuzzy model. The regulation problem for the uncertain SISO nonlinear system is solved by the proposed algorithm. Using the advanced stability theory, the stability of the state, the control gain and the parameter approximation error is proved. Unlike the existing feedback linearization based methods, the proposed algorithm can guarantee the global stability in the presence of the singularity in the inverse dynamics of the plant. The performance of the proposed algorithm is demonstrated through the problem of balancing and swing-up of an inverted pendulum on a cart.

Design of a Nonlinear Control System for Continuously Variable Transmission (무단 변속기를 위한 비선형 제어 시스템의 설계)

  • Park, Seong-Wook;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2348-2351
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    • 2000
  • In order to operate SI(Spark Ignition) engine at the optimal fuel efficiency, it is necessary to use continuously variable transmission(CVT) which has more excellent fuel consumption property than transmissions of gear box types commonly used. This study introduces new type of nonlinear control approach to control precisely CVT including nonlinear characteristics. The nonlinear controller is basically composed of input-state feedback linearization, which can cancel the nonlinearities included in CVT on specific controllable area, and sliding-mode control. In this paper, good control performance of contrtol system with the nonlinear controller is confirmed with computer simulations.

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Robust Control for SISO Nonlinear System using VSS Theory (VSS 이론을 이용한 SISO 비선형 시스템에 대한 강인성 제어)

  • Im, Kyu-Mann;Kim, Young-Soo
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.523-525
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    • 1998
  • In this paper, a robust control scheme for a class of SISO nonlinear dynamical system is proposed by using output-feedback linearization method. The presented control scheme is based on the VSS control theory concept. In this control scheme, we assume that the nonlinear dynamical system is minimum phase, i.e., the relative degree of the system is r < n and zero dynamics is stable. We also assume that the states of zero dynamics are not accessible. It is shown that the global asymptotically stability is guaranted under the proposed control scheme. The feasibility of the proposed control scheme is verified through a computer simulation.

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Active vibration control of nonlinear stiffened FG cylindrical shell under periodic loads

  • Ahmadi, Habib;Foroutan, Kamran
    • Smart Structures and Systems
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    • v.25 no.6
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    • pp.643-655
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    • 2020
  • Active control of nonlinear vibration of stiffened functionally graded (SFG) cylindrical shell is studied in this paper. The system is subjected to axial and transverse periodic loads in the presence of thermal uncertainty. The material composition is considered to be continuously graded in the thickness direction, also these properties depend on temperature. The relations of strain-displacement are derived based on the classical shell theory and the von Kármán equations. For modeling the stiffeners on the cylindrical shell surface, the smeared stiffener technique is used. The Galerkin method is used to discretize the partial differential equations of motion. Some comparisons are made to validate the SFG model. For suppression of the nonlinear vibration, the linear and nonlinear control strategies are applied. For control objectives, the piezoelectric actuator is attached to the external surface of the shell and the thin ring piezoelectric sensor is attached to the middle internal surface of shell. The effect of PID, feedback linearization and sliding mode control on the suppression of vibration for SFG cylindrical shell is presented.

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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A Formation Guidance Law Design Based on Relative-Range Information for Swam Flight (군집비행을 위한 상대 거리정보 기반의 편대 유도기법 설계)

  • Kim, Sung-Hwan;Jo, Sung-Beom;Park, Sang-Hyuk;Kim, Do-Wan;Ryoo, Chang-Kyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.2
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    • pp.87-93
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    • 2012
  • In this paper, a formation guidance method for UAVs (Unmanned Aerial Vehicles) to simulate the formation flight of birds proposed. The proposed method solves all issues of approaching for formation, formation keeping, and scarce chance to be collided with each UAV during formation process. Also, we design the feedforward controller to compensate the change of speed and heading for maneuvering of the leader UAV and the feedback controller to consider the response lag of the system. The stability and performance of the proposed controller is verified via numerical simulations of the full 6-Dof model of UAV.

Design and Evaluation of Cardiovascular Impedance Simulator Considering Mechanical Limits (기계적 한계를 고려한 심혈관 순환계 임피던스 시뮬레이터 설계 및 평가)

  • Gwak, Kwan-Woong
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.1
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    • pp.151-159
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    • 2008
  • The parameter-based cardiovascular impedance simulator that is able to overcome the limits of conventional mock circulatory systems is critical for the development and test of biomedical devices including artificial heart. The concept of impedance simulator was validated mathematically in a previous study using high-gain feedback linearization control which, however, may cause serious difficulties and limits for practical implementation. In this study, therefore, practical applicability of the impedance simulator is investigated considering the physical limits such as motor speed and torque. Simple PID controller which do not require complex model of the simulator is used considering the practical implementation. Design guidelines of the impedance simulator are also provided based on the results.

Robust Nonlinear Control for Minimum Phase Dynamic System by Using VSS (VSS 이론을 활용한 최소위상 비선형 시스템에 대한 강인성연구)

  • 임규만;양명섭
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.1
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    • pp.95-100
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    • 2001
  • In this paper, we proposed the robust control scheme for a class of nonlinear dynamical systems using output feedback linearization method. The presented control scheme is based on the VSS. We assume that the nonlinear dynamical system is minimum phase, the relative degree of the system is r<n and zero dynamics is stable. It is also shown that the global asymtotically stability is guaranted. And we verified that the proposed control scheme Is the feasible through a computer simulation.

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Adaptive Robust Output Tracking for Nonlinear MMO Systems

  • Im, Kyu-Mann
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2003.06a
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    • pp.177-182
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    • 2003
  • The robust output tracking control problem of general nonlinear MIMO systems is discussed. The robustness against parameter uncertainties is considered. In this paper, we proposed the robust output tracking control scheme for a class of MIMO nonlinear dynamical systems using output feedback linearization method. The presented control scheme is based on the VSS. We assume that the nonlinear dynamical system is minimum phase, the relative degree of the system is r$_{1}$+r$_{2}$+…r$_{m}$$\leq$ n and zero dynamics is stable. It is shown that the outputs of the closed-loop system asymptotically track given output trajectories despite the uncertainties while maintaining the boundedness of all signals inside the loop. And we verified that the proposed control scheme is then applied to the control of a two degree of freedom (DOF) robotic manipulator with payload.d.

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On the Linearization of the Discrete-time Nonlinear Systems, $x_{k+1}=G_{u_k}{o}F{(x_k)}$ (비선형 이산 시간 시스템 $x_{k+1}=G_{u_k}{o}F{(x_k)}$ 의 선형화에 관하여)

  • Nam, Kwang-Hee
    • Proceedings of the KIEE Conference
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    • 1987.07a
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    • pp.125-128
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    • 1987
  • We investigate the feedback linearizability of nonlinear discrete-time system s of a specific form, $x_k=G_{u_k}oF(x_k)$ where F is a diffeomorphism and [$G_{u_k}$] forms an one parameter group of diffeomorphisms. This structure represents a class of systems which are state equivalent to linear ones and approximates the sampled data model of a continuous-time system. It is also considered a relationship between linearizability and discretization.

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