• Title/Summary/Keyword: Linear Quadratic Controller

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A Flight Control System design for an Unmanned Helicopter

  • Park, Soo-Hong;Kim, Jong-Kwon;Jang, Cheol-Soon
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1375-1379
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    • 2004
  • Unmanned Helicopter has several abilities such as vertical Take off, hovering, low speed flight at low altitude. Such vehicles are becoming popular in actual applications such as search and rescue, aerial reconnaissance and surveillance. These vehicles also used under risky environments without threatening the life of a pilot. Since a small aerial vehicle is very sensitive to environmental conditions, it is generally known that the flight control is very difficult problems. In this paper, a flight control system was designed for an unmanned helicopter. This paper was concentrated on describing the mechanical design, electronic equipments and their interconnections for acquiring autonomous flight. The design methodologies and performance of the helicopter were illustrated and verified with a linearized equation of motion. The LQG based estimator and controller was designed and tested for this unmanned helicopter.

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Active Vibration Control of Smart Hull Structures (지능형 Hull구조물의 능동 진동제어)

  • Sohn, Jung-Woo;Choi, Seung-Bok;Kim, Heung-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.192-195
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    • 2005
  • In this study, dynamic characteristics of an end-capped hull structure with surface bonded piezoelectric actuators are studied. Finite element modeling is used to obtain practical governing equation of motion and boundary conditions of smart hull structure. Modal analysis is conducted to investigate the dynamic characteristics of the hull structure. Piezoelectric actuators are attached where the maximum control performance can be obtained. Active controller based on Linear Quadratic Gaussian (LQG) theory is designed to suppress vibration of smart hull structure. It is observed that closed loop damping can be improved with suitable weighting factors in the developed LQG controller.

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Design of Observer-based Controller for Interval Type-2 Fuzzy System Using Staircase Membership Function Approximation (계단모양 소속 함수 근사를 이용한 구간 2형 퍼지 시스템의 관측기 기반 제어기 설계)

  • Kim, Han-Sol;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1732-1733
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    • 2011
  • This paper presents observer-based controller design for interval type-2 fuzzy system with staircase membership approximation. In type-2 fuzzy case, membership function is itself fuzzy set itself. Thus, type-2 fuzzy system can deal with parametric uncertainties of nonlinear system by capturing the uncertainties in membership function. Likewise, stabilization condition of type-2 fuzzy system is derived from quadratic Lyapunov function, and it goes to linear matrix inequality. Furthermore, in this paper, to relax the conservativeness of stabilization condition, staircase membership function approximating method is applied. Observer-based control method is adopted to control system which has some unmeasurable states. To prove suitability of our proposed method, numerical example is presented.

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Estimation of the Asymptotic Stability Region for a Mismatched Uncertain Variable Structure System with a Bounded Controller (크기가 제한된 제어기를 갖는 비정합 불확실성의 가변구조 시스템을 위한 점근 안정 영역 추정)

  • Choi, Han-Ho
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.3
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    • pp.600-603
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    • 2007
  • We propose a method to estimate the asymptotic stability region(ASR) of a mismatched uncertain variable structure system with a bounded controller. The uncertain system under consideration may have mismatched parameter uncertainties in the state matrix. Using linear matrix inequalities(LMIs) we estimate the ASR and we show the quadratic stability of the closed-loop control system in the estimated ASR. We also give a simple LMI-based algorithm for estimating the ASR. Finally, we give a numerical example in order to show the effectiveness of our method.

Controller optimization with constraints on probabilistic peak responses

  • Park, Ji-Hun;Min, Kyung-Won;Park, Hong-Gun
    • Structural Engineering and Mechanics
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    • v.17 no.3_4
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    • pp.593-609
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    • 2004
  • Peak response is a more suitable index than mean response in the light of structural safety. In this study, a controller optimization method is proposed to restrict peak responses of building structures subject to earthquake excitations, which are modeled as partially stationary stochastic process. The constraints are given with specified failure probabilities of peak responses. LQR is chosen to assure stability in numerical process of optimization. Optimization problem is formulated with weightings on controlled outputs as design variables and gradients of objective and constraint functions are derived. Full state feedback controllers designed by the proposed method satisfy various design objectives and output feedback controllers using LQG also yield similar results without significant performance deterioration.

Output feedback, decentralized controller design for an active suspension system using 7 DOF full car model (7 자유도 차량 모델과 출력 되먹임을 이용한 자동차 능동 현가장치 설계에 관한 연구)

  • 노태수;정길도;홍동표
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.871-875
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    • 1996
  • The Output feedback linear quadratic regulator control is applied to the design of active suspension system using 7 DOF full car model. The performance index reflects the vehicle vertical movement, pitch and roll motion, and minimization of suspension stroke displacements in the rattle space. The elements of gain matrix are approximately decoupled so that each suspension requires only local information to generate the control force. The simulation results indicates that the output feedback LQ controller is more effective than purely passive or full state feedback active LQ controllers in following the road profile at the low frequency range and suppressing the road disturbance at the high frequency ranges.

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Design of an Adaptive Robust Controller Based on Explorized Policy Iteration for the Stabilization of Multimachine Power Systems (다기 전력 시스템의 안정화를 위한 탐색화된 정책 반복법 기반 적응형 강인 제어기 설계)

  • Chun, Tae Yoon;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.11
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    • pp.1118-1124
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    • 2014
  • This paper proposes a novel controller design scheme for multimachine power systems based on the explorized policy iteration. Power systems have several uncertainties on system dynamics due to the various effects of interconnections between generators. To solve this problem, the proposed method solves the LQR (Linear Quadratic Regulation) problem of isolated subsystems without the knowledge of a system matrix and the interconnection parameters of multimachine power systems. By selecting the proper performance indices, it guarantees the stability and convergence of the LQ optimal control. To implement the proposed scheme, the least squares based online method is also investigated in terms of PE (Persistency of Excitation), interconnection parameters and exploration signals. Finally, the performance and effectiveness of the proposed algorithm are demonstrated by numerical simulations of three-machine power systems with governor controllers.

Dynamic Modeling and Controller Design for Active Vibration Control of Elevator (엘리베이터 능동진동제어를 위한 동적 모델링 및 제어기 설계)

  • Kim, Ki-Young;Kwak, Moon-K.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.71-76
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    • 2008
  • This paper is concerned with the active vibration control of elevator by means of the active roller guide. To this end, a dynamic model for the horizontal vibration of the elevator consisting of a supporting frame, cage and active roller guides was derived using the energy method. Free vibration analysis was then carried out based on the equations of motion. Active vibration controller was designed based on the equations of motion using the LQR theory and applied to the numerical model. Rail irregularity and wind pressure variation were considered as external disturbance in the numerical simulations. The numerical results show that the active vibration control of elevator is possible.

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Optimal Vibration Control of Rigid Plate Elastically Supported at the Edges (끝단이 탄성 지지된 강체판의 최적진동제어)

  • Lee, Seong-Ki;Yun, Shin-Il;Han, Sang-Bo
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.828-833
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    • 2003
  • Rigid plate elastically supported at the edges is modeled and the performance of the optimal vibration control under sinusoidal excitation is tested. The controller based on the linear quadratic regulator with output feedback is designed to control the multi-degree of freedom vibration. Relative weighting parameters are considered as design constraints to determine the limitation of maximum control force and state parameters. Control force calculated by proportional output feedback of the displacement and velocity is used to suppress the vibration induced by the sinusoidal external force. The active vibration control of vibrating plate by the LQR controller is examined through the numerical simulations that show the effectiveness of optimal control scheme on the three degrees of freedom structure.

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Automatic Landing Guidance Law Design for Unmanned Aerial Vehicles based on Pursuit Guidance Law (추적유도기법 기반 무인항공기 자동착륙 유도법칙 설계)

  • Yoon, Seung-Ho;Bae, Se-Lin;Han, Young-Soo;Kim, Hyoun-Jin;Kim, You-Dan
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.12
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    • pp.1253-1259
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    • 2008
  • This paper presents a landing controller and guidance law for net-recovery of fixed-wing unmanned aerial vehicles. A linear quadratic controller was designed using the system identification result of the unmanned aerial vehicle. A pursuit guidance law is applied to guide the vehicle to a recovery net with imaginary landing points on the desired approach path. The landing performance of a pure pursuit guidance, a constant pseudo pursuit guidance, and a variable pseudo pursuit guidance is compared. Numerical simulation using an unmanned aerial vehicle model was performed to verify the performance of the proposed landing guidance law.