• 제목/요약/키워드: $H_2$/$H_{\infty}$ Control

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지능 제어 기법을 이용한 유도탄 자동 조정 장치 설계 (Design of an missile autopilot using intelligent control technique)

  • 김윤식;한웅기;국태용
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.1509-1512
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    • 1996
  • This paper presents an intelligent autopilot for STT missiles with multiple controllers. The mixed H$_{2}$/H$_{\infty}$ control technique is applied for each controller and implemented by using the genetic searching algorithm. To facilitate automatic switching of multiple controllers under different operating conditions, an error based switching scheme is also combined with the multiple controllers at the higher level, which constitutes a hierarchical intelligent control system. It is shown via computer simulation that the proposed autopilot outperforms the conventional one..

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불확실성을 갖는 비선형 시스템의 퍼지 $H^{\infty}$ 제어기 설계 (Fuzzy $H^{\infty}$ Controller Design for Uncertain Nonlinear Systems)

  • 이갑래;정은태;박홍배
    • 전자공학회논문지S
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    • 제35S권6호
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    • pp.46-54
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    • 1998
  • 본 논문은 파라미터 불확실성을 갖는 비선형 시스템을 안정화하며, 폐루프 시스템의 외란감쇠에 대한 $L_{2}$ 이득 제한조건을 만족시키는 견실 퍼지 $H^{\infty}$ 제어기 설계기법을 제시한다. 불확실성을 갖는 비선형 시스템을 불확실성을 갖는 Takagi-Sugeno(T-S) 모델로 표현하고 병렬 분산 보상(PDC : parallel distributed compensation)의 개념을 이용하여 제어기를 설계한다. 파라미터 불확실성을 갖는 T-S 퍼지모델에 대한 감쇠율을 만족하는 폐루프 시스템의 안정성 조건과 Lyapunov 함수를 이용하여 외란감쇠 조건을 유도하고, 선형 행렬 부등식(LMI: linear matrix inequality)을 이용하여 견실 퍼지 $H^{\infty}$ 제어기가 존재할 충분조건을 구한다. 마지막으로 불확실성을 갖는 비선형 시스템에 대한 퍼지 $H^{\infty}$ 제어기 설계 예를 보인다.

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Robust Reliable H$\infty$ a Control of Continuous/Discrete Uncertain Time Delay Systems using LMI

  • Kim, Jong-Hae;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • 제1권2호
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    • pp.121-127
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    • 1999
  • In this paper, we present robust reliable H$\infty$ controller design methods of continuous and discrete uncertain time delay systems using LMI (linear matrix inequality) technique, respectively. Also the existence conditions of state feedback control are proposed . Using some changes of variables and Schur complements, the obtained sufficient conditions are transformed into an LMI form. The closed loop system by the obtained controller is quadratically stable with H$\infty$ norm bound for all admissible uncertainties, time delay, and all actuator failures occurred within the prespecified set. We show the validity of the proposed method through numerical example.

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Multiobjective PI/PID Control Design Using an Iterative Linear Matrix Inequalities Algorithm

  • Bevrani, Hassan;Hiyama, Takashi
    • International Journal of Control, Automation, and Systems
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    • 제5권2호
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    • pp.117-127
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    • 2007
  • Many real world control systems usually track several control objectives, simultaneously. At the moment, it is desirable to meet all specified goals using the controllers with simple structures like as proportional-integral (PI) and proportional-integral-derivative (PID) which are very useful in industry applications. Since in practice, these controllers are commonly tuned based on classical or trial-and-error approaches, they are incapable of obtaining good dynamical performance to capture all design objectives and specifications. This paper addresses a new method to bridge the gap between the power of optimal multiobjective control and PI/PID industrial controls. First the PI/PID control problem is reduced to a static output feedback control synthesis through the mixed $H_2/H_{\infty}$ control technique, and then the control parameters are easily carried out using an iterative linear matrix inequalities (ILMI) algorithm. Numerical examples on load-frequency control (LFC) and power system stabilizer (PSS) designs are given to illustrate the proposed methodology. The results are compared with genetic algorithm (GA) based multiobjective control and LMI based full order mixed $H_2/H_{\infty}$ control designs.

Control System Synthesis Using BMI: Control Synthesis Applications

  • Chung, Tae-Jin;Oh, Hak-Joon;Chung, Chan-Soo
    • International Journal of Control, Automation, and Systems
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    • 제1권2호
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    • pp.184-193
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    • 2003
  • Biaffine Matrix Inequality (BMI) is known to provide the most general framework in control synthesis, but problems involving BMI's are very difficult to solve because nonconvex optimization should be solved. In the previous paper, we proposed a new solver for problems involving BMI's using Evolutionary Algorithms (EA). In this paper, we solve several control synthesis examples such as Reduced-order control, Simultaneous stabilization, Multi-objective control, $H_{\infty}$ optimal control, Maxed $H_2$ / $H_{\infty}$control design, and Robust $H_{\infty}$ control. Each of these problems is formulated as the standard BMI form, and solved by the proposed algorithm. The performance in each case is compared with those of conventional methods.

Robust H(sup)$\infty$ FIR Sampled-Data Filtering for Uncertain Time-Varying Systems with Lipschitz Nonlinearity

  • Ryu, Hee-Seob;Yoo, Kyung-Sang;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권4호
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    • pp.255-261
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    • 2000
  • This paper presents the results of the robust H(sub)$\infty$ FIR filtering for a class of nonlinear continuous time-varying systems subject to real norm-bounded parameter uncertainty and know Lipschitz nonlinearity under sampled measurements. We address the problem of designing filters, using sampled measurements, which guarantee a prescribed H(sub)$\infty$ performance in continuous time-varying context, irrespective of the parameter uncertainty and unknown initial states. The infinite horizon causal H(sub)$\infty$FIR filter are investigated using the finite moving horizon in terms of two Riccati equations with finite discrete jumps.

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$H_\infty$제어에 의한 병렬형 도립진자의 제어에 관한 연구 (A Study on the Control of Parallel-Type Inverted Pendulum by $H_\infty$ Control)

  • 양주호;변정환
    • 수산해양기술연구
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    • 제31권2호
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    • pp.178-189
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    • 1995
  • 병렬형 도립진자를 수학적으로 모델링하고 주파수 응답법에 의해 파라미터를 동정하여, $H_\infty$제어이론 중 혼합감도문제에 의거하여 제어계를 설계한 후 응답 시뮬레이션을 한 결과그 응답으로부터 모델링의 불확실성에 대처할 수 있는 강인한 제어계를 구성할 수 있었다. 앞으로 실제 시스템에 대하 s제어들 과제로 남겨두고 있다. 시뮬레이션 응답과는 달리 실제 으답실험에서도 좋은 결과를 얻기 위해서는 여러 가지의 어려움이 있을 것으로 예상된다. 특히 응답 시뮬레이션에서도 나타난 바와 같이 전자가 미소각으로 기울어진 상태에서 제어를 할 경우에도 각 상태의 변동량이 크고, 또한 상당한 제어입력을 요한다. 따라서 센서 잡음에 대한 영향을 충분히 고려할 필요가 있으므로, 노이즈를 많이 발생시키는 PWM방식의 직류모터 구동 드라이버보다는 선형 드라이버를 이용하는 것이 적절할 것으로 예상된다

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Robust and Reliable H$\infty$ State-Feedback Control : A Linear Matrix Inequality Approach

  • Kim, Seong-Woo;Kim, Byung-Kook;Seo, Chang-Jun
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권1호
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    • pp.31-39
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    • 2000
  • We present a robust and reliable H$\infty$ state-feedback controller design for linear uncertain systems, which have norm-bounded time-varying uncertainty in the state matrix, and their prespecified sets of actuators are susceptible to failure. These controllers should guarantee robust stability of the systems and H$\infty$ norm bound against parameter uncertainty and/or actuator failures. Based on the linear matrix inequality (LMI) approach, two state-feedback controller design methods are constructed by formulating to a set of LMIs corresponding to all failure cases or a single LMI that covers all failure cases, with an additional costraint. Effectiveness and geometrical property of these controllers are validated via several numerical examples. Furthermore, the proposed LMI frameworks can be applied to multiobjective problems with additional constraints.

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Robust $H_{\infty}$ Control for Uncertain Two-Dimensional Discrete Systems Described by the General Model via Output Feedback Controllers

  • Xu, Huiling;Zou, Yun;Xu, Shengyuan;Guo, Lei
    • International Journal of Control, Automation, and Systems
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    • 제6권5호
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    • pp.785-791
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    • 2008
  • This paper considers the problem of robust $H_{\infty}$ control for uncertain 2-D discrete systems in the General Model via output feedback controllers. The parameter uncertainty is assumed to be norm-bounded. The purpose is the design of output feedback controllers such that the closed-loop system is stable while satisfying a prescribed $H_{\infty}$ performance level. In terms of a linear matrix inequality, a sufficient condition for the solvability of the problem is obtained, and an explicit expression of desired output feedback controllers is given. An example is provided to demonstrate the application of the proposed method.

차량 횡 방향 제어를 위한 2 자유도 $H_{\infty}$제어기 설계 및 모의실험 (Two Degree-of-Freedom $H_{\infty}$ Controller Design and Simulation For the Lateral Control of the Vehicle)

  • 장재필;정길도
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.112-112
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    • 2000
  • The aim of this paper is to design a two degree-of-freedom H$_{\infty}$ controller for lateral control of the vehicle. The object of this controller is to track the centerline of the reference lane. The controller is splited into two parts, feedback and prefilter. The feedback part is for both robust stability and disturbance attenuation, while the prefilter is for improving the robust tracking properties of closed loop system. This paper is consist of preface, background theory, dynamics of vehicle, controller design and computer simulation.ter simulation.

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