• Title/Summary/Keyword: State Feedback

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Quadcopter stabilization using state feedback controller by pole placement method

  • Tengis, Tserendondog;Batmunkh, Amar
    • International Journal of Internet, Broadcasting and Communication
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    • v.9 no.1
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    • pp.1-8
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    • 2017
  • Nowadays many articles describe the controlling models for four rotor flying vehicle. Basic approaches to the problem of these articles are mathematical expressions describing dynamics of the models of the vehicle and PID control for manipulating the object in 3 dimensional space. Design of control systems is usually started by careful consideration of its mathematical model description. We present a detailed mathematical model for a quad rotor. This paper first considers simulation of quadcopter control based on full state feedback technique with linearization in MATLAB environment and shows the results of the simulations. Finally will be shown experimental results of the state feedback control implemented in real model.

A CLASS OF ASYMPTOTICALLY STABILIZING STATE FEEDBACK FOR UNCERTAIN NONLINEAR SYSTEMS

  • Hashimoto, Yuuki;Wu, Hansheng;Mizukami, Koichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.271-274
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    • 1995
  • This paper is concerned with the problem of robust stabilization of uncertain single-input and single-output nonlinear systems. Based on the input/output linearization approach for nonlinear state feedback synthesis in conjunction with Lyapunov methods, a stabilizing state feedback controller is proposed. Compared with the controllers reported in the control literature, instead of uniform ultimate boudedness, the controller proposed in this paper can guarantee uniform asymptotic stability of nonlinear systems in the presence of uncertainties. The required information about uncertain dynamics in the system is only that the uncertainties are bounded in Euclidean norm by known functions of the system state.

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$H_{\infty}$ CONTROLLER DESIGN VIA LQ GAME PROBLEM FOR DISRETE TIME SYSTEM

  • Kwon, Wook-Hyun;Lee, Joon-Hwa;Kim, Won-Chul
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.864-867
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    • 1990
  • In this paper, a state space solution to the discete time H$_{\infty}$ control problem is presented. It is shown that there exist LQ game problem corresponding to H$_{\infty}$ control problems and the H$_{\infty}$ controller can be obtained by solving the LQ game problem. Explicit state space formulae are given for the state feedback H$_{\infty}$ controller and output feedback H$_{\infty}$ controllers.lers. state feedback $H_{\infty}$ controller and output feedback $H_{\infty}$ controllers.

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Hierarchical State Feedback Control of Large-Scale Discrete-Time Systems with Time-Delays (시간지연이 있는 대규모 이산시간 시스템의 계층적 상태궤환제어)

  • 김경연;전기준
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.8
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    • pp.1161-1166
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    • 1989
  • In this paper, a hierarchical state feedback control method is proposed for the optimal tracking of large-scale discrete-time systems with time-delays. The state feedback gain matrix and the compensation vector are computed from the optimal trajectories of the state variables and control inputs obtained hierarchically by the open-loop control method based on the interaction prediction method. The resulting feedback gain matrix and the compensation vector are optimal for the given initial condition. Computer simulation results show that the proposed method has better control performance and fewer second level iterations than the Tamura method.

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A Study on the Design of the Optimal Nonlinear Controller for Single State Feedback (단일상태 귀환 제어계의 최적 비선형제어기 설계에 관한 연구)

  • No, Yong-Gyun;Jo, Gyeom-Rae;Lee, Jin-Geol
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.1
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    • pp.85-92
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    • 1989
  • For feedback control of a linear dynamic system the optimum linear state regulator (OLSR) can be implemented only if all states are available for feedback. This work demonstrates that when only the output state is available for feedback, a nonlinear controllers can give improved performance over that obtained by a proportional controller. This paper found the optimal control law by dynamic programming and principles of optimalityl. This, performances of both proportional and nonlinear controllers are compared with performance of optimum linear state regulator.

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Robust $H_{\infty}$ Control for Bilinear Systems via State Feedback (상태 피드백에 의한 쌍일차 계통의 강인 $H_{\infty}$ 제어)

  • Kim, Young-Joong;Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2037-2039
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    • 2002
  • This paper focuses on robust $H_{\infty}$ control for bilinear systems with time-varying parameter uncertainties via state feedback. The suitable robustly stabilizing feedback control law can be constructed in term of solution to a state variable x-dependent quadratic Riccati equation using successive approximation technique. Also, the state feedback control law robustly stabilizes the plant and guarantees a robust $H_{\infty}$ performance for the closed-loop bilinear system with parameter uncertainties and exogenous disturbance.

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Analysis and Design of the State Feedback Current Controller's Gain (상태 궤환 전류 제어기의 이득 분석 및 설계)

  • Lee, Jin-Woo
    • Proceedings of the KIEE Conference
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    • 2006.07b
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    • pp.982-983
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    • 2006
  • This paper deals with an analysis and design of the state feedback current controller's gain in the three-phase current control systems. First, this paper derives the transfer function of the closed loop current control system and also compares the state feedback current controller with the conventional proportional integral controller. A new pole placement method by using the pole/zero cancellation method is proposed to give a simple and concrete concept with respect to the pole selection. Experimental results on the permanent magnet synchronous motor show that the proposed method is very useful to design the gain of the state feedback current controller.

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H$\infty$ State Feedback Control for Generalized Continuous/Discrete Time Delay System

  • Kim, Jong-Hae;Jeung, Eun-Tae;Lee, Sang-Kyung;Park, Hong-Bae
    • Journal of Electrical Engineering and information Science
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    • v.3 no.2
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    • pp.163-169
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    • 1998
  • In this paper, we consider the problem of designing H$\infty$ state feedback controller for the generalized time systems with delayed states and control inputs in continuous and discrete time cases, respectively. The generalized time delay system problems are solved on the basis of LMI(linear matrix inequality) technique considering time delays. The sufficient condition for the existence of controller and H$\infty$ state feedback controller design methods are presented. Also, using some changes of variables and Schur complements, the obtained sufficient condition can be rewritten as a LMI form in terms of transformed variables. The propose controller design method can be extended into the problem of robust H$\infty$ state feedback controller design method easily.

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Design of the Hybrid Controller using the Fuzzy Switching Mode (퍼지 스위칭 모드를 이용한 하이브리드 제어기의 설계)

  • 최창호;임화영
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.3
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    • pp.260-269
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    • 2000
  • The fuzzy and state-feedback control systems have been applied in various areas from non-linear to linear systems. A Fuzzy controller is endowed with control rules and membership function that are constructed on the knowledge of expert, as like intuition and experience. but It is very difficult to obtain the exact values which are the membership function and consequent parameters. though apply back-propagation algorithm to the system, the convergence time a much. Besides, the state-feedback system is most widely used in industry due to its simple control structure and easily able to design the controller. but it is weak in complex system of higher degree and non-linear. In this paper presents the design of a fuzzy switching mode, it these two controllers work at different operation conditions, the advantages of both controller can be retained and the disadvantages can be removed. Between the Fuzzy and the State-feedback controlles, the good outputs are selected by the switching mode. Moreover it is powerful in complex system of higher degree and non-linear. In these sense compared with the state-feedback controller, the performance of the proposed controller was improvedin the section of linearization.

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Robust Tracking of Constrained Uncertain Linear Systems using a High-gain Disturbance Observer (고이득 외란 관측기에 기반한 입력 제약 조건이 있는 불확실한 선형 시스템의 강인 추종 제어)

  • Yoon, Mun Chae;Kim, Jung-Su;Back, Juhoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.6
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    • pp.397-402
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    • 2016
  • This paper proposes a robust tracking control for constrained uncertain linear systems by combining a disturbance observer (DOB) and linear matrix inequality (LMI) based state feedback control. To this end, the state feedback control is designed for the nominal system and then a DOB based feed-forward control is added to reject uncertainties. In doing so, the DOB and state feedback controller are joined in a way that the combined control satisfies the input constraints and closed loop stability is guaranteed. Simulation results are provided to show that the proposed control scheme successfully stabilizes uncertain systems.