• Title/Summary/Keyword: Feedback-Linearization

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A Backstepping Design with Sliding Mode Control for Uncertain Discrete System

  • Park, Seung-Kyu;Kim, Min-Chan;Kim, Tae-Won;Ahn, Ho-Kyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.63.6-63
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    • 2002
  • The technique of backstepping have can avoid cancellations of useful nonlinearities. It is widely used in nonlinear adaptive control. But it is difficult to use this technique for uncertain nonlinear systems. Sliding mode control has robustness and application with feedback linearization. This paper shows that the robustness can be used for back stopping technique to solve the uncertainty problem and to improve the scalar design problem using Control Lyapunov function which is the motivation of back stepping technique with recursive design for high-order systems. In the respect of SMC, the result of this paper does not need to satisfy the matching condition.

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Design of an Augmented Automatic Choosing Control via Hamiltonian and GA for a class of Nonlinear Systems with Constrained Input

  • Nakamura, Masatoshi;Zhang, Tao
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.76.3-76
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    • 2002
  • The purpose of this paper is to present a new nonlinear feedback control called AACC (Augmented automatic choosing control) for nonlinear systems. Generally, it is easy to design the optimal control laws for linear systems, but it is not so for nonlinear systems, though they have been studied for many years. One of most popular and practical nonlinear control laws is synthesized by applying a linearization method by Taylor expansion truncated at the first order and the linear optimal control method. This is only effective in a small region around the steady state point or in almost linear systems. Controllers based on a change of coordinates in differential geometry are effective in wider...

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Formation Control Algorithm for Coupled Unicycle-Type Mobile Robots Through Switching Interconnection Topology (스위칭 연결 구조를 갖는 외발형 이동 로봇들에 대한 대형 제어 알고리듬)

  • Kim, Hong-Keun;Shim, Hyung-Bo;Back, Ju-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.5
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    • pp.439-444
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    • 2012
  • In this study, we address the formation control problem of coupled unicycle-type mobile robots, each of which can interact with its neighboring robots by communicating their position outputs. Each communication link between two mobile robots is assumed to be established according to the given time-varying interconnection topology that switches within a finite set of connected fixed undirected networks and has a non-vanishing dwell time. Under this setup, we propose a distributed formation control algorithm by using the dynamics extension and feedback linearization methods, and by employing a consensus algorithm for linear multi-agent systems which provides arbitrary fast convergence rate to the agreement of the multi-agent system. Finally, the proposed result is demonstrated through a computer simulation.

Nonlinear system control using neural network guaranteed Lyapunov stability (리아프노브 안정성이 보장되는 신경회로망을 이용한 비선형 시스템 제어)

  • Seong, Hong-Seok;Lee, Kwae-Hui
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.3
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    • pp.142-147
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    • 1996
  • In this paper, we describe the algorithm which controls an unknown nonlinear system with multilayer neural network. The multilayer neural network can be used to approximate any continuous function to any desired degree of accuracy. With the former fact, we approximate unknown nonlinear function on the nonlinear system by using of multilayer neural network. The weight-update rule of multilayer neural network is derived to satisfy Lyapunov stability. The whole control system constitutes controller using feedback linearization method. The weight of neural network which is used to implement nonlinear function is updated by the derived update-rule. The proposed control algorithm is verified through computer simulation.

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A Study on a Stochastic Nonlinear System Control Using Neural Networks (신경회로망을 사용한 비선형 확률시스템 제어에 관한 연구)

  • Seok, Jin-Wuk;Choi, Kyung-Sam;Cho, Seong-Won;Lee, Jong-Soo
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.3
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    • pp.263-272
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    • 2000
  • In this paper we give some geometric condition for a stochastic nonlinear system and we propose a control method for a stochastic nonlinear system using neural networks. Since a competitive learning neural networks has been developed based on the stochastcic approximation method it is regarded as a stochastic recursive filter algorithm. In addition we provide a filtering and control condition for a stochastic nonlinear system called the perfect filtering condition in a viewpoint of stochastic geometry. The stochastic nonlinear system satisfying the perfect filtering condition is decoupled with a deterministic part and purely semi martingale part. Hence the above system can be controlled by conventional control laws and various intelligent control laws. Computer simulation shows that the stochastic nonlinear system satisfying the perfect filtering condition is controllable and the proposed neural controller is more efficient than the conventional LQG controller and the canonical LQ-Neural controller.

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Tiltrotor Aircraft SCAS Design Using Neural Networks (신경회로망을 이용한 틸트로터 항공기 SCAS 설계)

  • Han, Kwang-Ho;Kim, Boo-Min;Kim, Byoung-Soo
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.3
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    • pp.233-239
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    • 2005
  • This paper presents the design and evaluation of a tiltrotor attitude controller. The implemented response type of the command augumentation system is Attitude Command Attitude Hold. The controller architecture can alleviate the need for extensive gain scheduling and thus has the potential to reduce development time. The control algorithm is constructed using the feedback linearization technique. And an on-line adaptive architecture that employs a neural network compensating the model inversion error caused by the deficiency of full knowledge tiltrotor aircraft dynamics is applied to augment the attitude control system. The use of Lyapunov stability analysis guarantees boundedness of the tracking error and network parameters. The performance of the controller is evaluated against ADS-33E criteria, using the nonlinear tiltrotor simulation code for Bell TR301 developed by KARI. (Korea Aerospace Research Institute)

Inverse Optimal Design of Formation/Velocity Consensus Protocol for Mobile Robots Based on LQ Inverse Optimal Second-order Consensus (LQ-역최적 2차 일치제어에 기반한 이동로봇에 대한 대형·속도일치 프로토콜의 역최적 설계)

  • Lee, Jae Young;Choi, Yoon Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.5
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    • pp.434-441
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    • 2015
  • In this paper, we propose an inverse optimal distributed protocol for the formation and velocity consensus of nonholonomic mobile robots. The communication among mobile robots is described by a simple undirected graph, and the mobile robots' kinematics are considered. The group of mobile robots driven by the proposed protocols asymptotically achieves the desired formation and group velocity in an inverse optimal fashion. The design of the protocols is based on dynamic feedback linearization and the proposed linear quadratic (LQ) inverse optimal second-order consensus protocol. A numerical simulation is given to verify the effectiveness of the proposed scheme.

Looper-Tension Control of Strip Top-Tail Parts for Hot Rolling Mills (열간압연공정의 스트립 선미단부 루퍼-장력 제어)

  • Hwang, I-Cheol
    • Journal of Power System Engineering
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    • v.19 no.4
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    • pp.24-29
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    • 2015
  • This paper designs a looper-tension controller for strip top-tail parts in hot strip finishing mills. A three-degree linear model of the looper-tension system is derived by a Taylor's linearization method, where the actuator's dynamics are ignored because of their fast responses. A feedforward shaping controller for the strip top part and a feedforward model reference controller for the strip tail part are respectively designed, they are combined with an ILQ(Inverse Linear Quadratic optimal control) feedback controller for the strip middle part. It is shown from by a computer simulation that the proposed controller is very effective to the strip top-tail parts including the middle part.

Robust Adaptive Control of Autonomous Robot Systems with Dynamic Friction Perturbation and Its Stability Analysis (동적마찰 섭동을 갖는 자율이동 로봇 시스템의 강인적응제어 및 안정성 해석)

  • Cho, Hyun-Cheol;Lee, Kwon-Soon
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.1
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    • pp.72-81
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    • 2009
  • This paper presents a robust adaptive control method using model reference control strategy against autonomous robot systems with random friction nature. We approximate a nonlinear robot system model by means of a feedback linearization approach to derive nominal control law. We construct a Least Square (LS) based observer to estimate friction dynamics online and then represent a perturbed system model with respect to approximation error between an actual friction and its estimation. Model reference based control design is achieved to implement an auxiliary control in order for reducing control error in practice due to system perturbation. Additionally, we conduct theoretical study to demonstrate stability of the perturbed system model through Lyapunov theory. Numerical simulation is carried out for evaluating the proposed control methodology and demonstrating its superiority by comparing it to a traditional nominal control method.

Design of an intelligent steering control system for four-wheel electric vehicles without steering mechanism (조향 기구가 없는 4륜 전기 구동 차량의 지능형 조향 제어 시스템의 설계)

  • 변상진;박명관;서일홍
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.4
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    • pp.12-24
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    • 1997
  • An intelligent steering control system is designed for the steering control of a 4 wheel drive (4WD) electric vehicles without steering mechanism, where the vehicle is assumed to have 3 degree of freedom and input-output feedback linearization is employed. Especially, a fuzzy-rule-based side force estimator is suggested to avoid uncertain highlynonlinearexpression sof relations between side forces and their factors. Also, aneural-network-based predictive compensator is additionally utilized for the vehicle model to be correctly controlled with unstructured uncertainties. The proposed overall control system is numerically shown to be robust against drastic change of the external environments.

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