• 제목/요약/키워드: robust pole placement

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Design of Robust Controller using Neural Network and Sliding Mode

  • Kim, Min-Chan;Kim, Tae-Kue;Park, Seung-Kyu;Kwak, Gun-Pyong;Ahn, Ho-Kyun;Yoon, Tae-Sung
    • Journal of information and communication convergence engineering
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    • 제8권3호
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    • pp.333-338
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    • 2010
  • This paper derives a nominal state relationship (NSR) from the data of a nominal system. Through an example of a second order system, it is shown that the relationship can be derived only in the system with different real eigenvalues. In higher order system, the relationship is expressed by using neural network (NN). The derived NSR is used to design a noble sliding surface with a nominal system characteristic. By using the sliding surface, the robustness of the sliding mode control (SMC) is added to the pole-placement control.

Nominal States Relationship and Its Sliding Mode Control Application

  • Kim, Min-Chan;Ko, Chang-Min;Park, Seung-Kyu;Kwak, Gun-Pyong;Yoon, Tae-Sung;Ahn, Ho-Kyun
    • Journal of information and communication convergence engineering
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    • 제7권3호
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    • pp.356-360
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    • 2009
  • A novel method to derive a Nominal States Relationship (NSR) of a control system is proposed. The obtained relationship is used to design a sliding surface which can have the characteristic of a nominal system. With this sliding surface, a Sliding Mode Control (SMC) system which has the characteristics of the nominal system controlled by pole placement is designed for an uncertain system.

입력관측기의 정량적 성능지표 (I) -과도상태 해석- (A Quantitative Performance Input for an Input Observer ( I ) - Analysis in Transient State -)

  • 정종철;이범석;허건수
    • 대한기계학회논문집A
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    • 제26권10호
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    • pp.2060-2066
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    • 2002
  • The closed-loop state and input observer is a pole-placement type observer and estimates unknown state and input variables simultaneously. Pole-placement type observers may have poor transient performance with respect to ill-conditioning factors such as unknown initial estimates, round-off error, etc. For the robust transient performance, the effects of these ill-conditioning factors must be minimized in designing observers. In this paper, the transient performance of the closed-loop state and input observer is investigated quantitatively by considering the error bounds due to ill-conditioning factors. The performance indices are selected from these error bounds and are related to the observer robustness with respect to the ill -conditioning factors. The closed-loop state and input observer with small performance indices is considered as a well-conditioned observer from the transient perspective.

입력관측기의 정량적 성능지표 (II) -정상상태 해석- (A Quantitative Performance Index for an Input Observer (II) - Analysis in Steady-State -)

  • 정종철;이범석;허건수
    • 대한기계학회논문집A
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    • 제26권10호
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    • pp.2067-2072
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    • 2002
  • The closed-loop state and input observer is a pole-placement type observer and estimates unknown state and input variables simultaneously. Pole-placement type observers may have poor performances with respect to modeling error and sensing bias error. The effects of these ill-conditioning factors must be minimized for the robust performance in designing observers. In this paper, the steady-state performance of the closed-loop state and input observer is investigated quantitatively and is represented as the estimation error bounds. The performance indices are selected from these error bounds and are related to the robustness with respect to modeling errors and sensing bias. By considering both transient and steady-state performance, the main performance index is determined as the condition number of the eigenvector matrix based on $L_2$-norm.

압전체가 부착된 보의 다목적 상태궤한제어 (Multiobjective State-Feedback Control of Beams with Piezoelectric Device)

  • 박철휴;홍성일;박현철
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.828-833
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    • 2004
  • The performance of a mixed $H_{\infty}/H_2$ design with pole placement constraints based on robust vibration control for a piezo/beam system is investigated. The governing equation of motion for the piezo/beam system is derived by Hamilton's principle. The assumed mode method is used to discretize the governing equation into a set of ordinary differential equation. A robust controller is designed by $H_{\infty}/H_2$ feedback control law that satisfies additional constraints on the closed-loop pole location in the face of model uncertainties, which are derived for a general class of convex regions of the complex plane. These constraints are expressed in terms of linear matrix inequalities (LMIs) approach for the multiobjective synthesis. The validity and applicability of this approach for vibration suppressions of SMART structural systems are discussed by damping out the multiple vibrational modes of the piezo/beam system.

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강인추적 제어를 이용한 자율 무인 잠수정의 심도제어 (Depth Control of Autonomous Underwater Vehicle Using Robust Tracking Control)

  • 채창현
    • 한국기계가공학회지
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    • 제20권4호
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    • pp.66-72
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    • 2021
  • Since the behavior of an autonomous underwater vehicle (AUV) is influenced by disturbances and moments that are not accurately known, the depth control law of AUVs must have the ability to track the input signal and to reject disturbances simultaneously. Here, we proposed robust tracking control for controlling the depth of an AUV. An augmented closed-loop system is represented by an error dynamic equation, and we can easily show the asymptotic stability of the overall system by using a Lyapunov function. The robust tracking controller is consisted of the internal model of the command signal and a state feedback controller, and it has the ability to track the input signal and reject disturbances. The closed-loop control system is robust to parameter uncertainties. Simulation results showed the control performance of the robust tracking controller to be better than that of a P + PD controller.

LMI를 이용한 공기압 실린더의 상태제어기 설계 (LMI-Based Controller Design of Pneumatic Cylinder)

  • 장지성;지상원;김영복
    • 유공압시스템학회논문집
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    • 제5권1호
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    • pp.1-5
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    • 2008
  • Pneumatic driving systems have hard non-linear characteristic and large friction force compared with driving power. Hence, it cannot be robust against parameter uncertainties, modelling error, disturbance and noise. In this study, we apply a mixed $H_2/H_{\infty}$ control to the generalized plant for a pneumatic driving apparatus system including parameter uncertainty and disturbance. In order to design the $H_2/H_{\infty}$ controller, we use the LMI technique. To evaluate control performance and robust stability of the designed controller, we compare it with a conventional controller such as PVA(Position-Velocity-Acceleration state controller) using the simulation results. As a result, it can be known that designed controller shows better robust stability than the conventional controller.

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On D-admissibility Conditions of Singular Systems

  • Gao, Lixin;Chen, Wenhai
    • International Journal of Control, Automation, and Systems
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    • 제5권1호
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    • pp.86-92
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    • 2007
  • In this paper, we first establish $D_L$-admissibility and $D_R$-admissibility conditions for singular systems. The admissibility conditions expressed as Lyapunov type inequalities extend the existed results of normal systems to singular systems. As special cases the admissibility conditions of the continuous-time and the discrete-time singular systems can be obtained directly. The results established in this paper can be applied to solve the problems of eigenvalue assignment, regional pole-placement and robust control etc.

루프형성 기법을 이용한 편심배치방식 자기부상 시스템의 강인 LQ 제어 (Robust LQ control of magnetically levitation systems with a combined lift and guidance using loop-shaping techniques)

  • 박전수;김종식
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.747-753
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    • 1992
  • The modeling and control design schemes are developed for maglev systems with a combined lift and guidance. First, bond graph techniques are applied for modeling these multi-energy domain systems more logically and systematically. And the stability loop via pole placement and the performance loop via loop-shaping LQ control are designed. The suggested controller satisfies the required characteristics of stability and performance simultaneously. Finally, the robustness of the synthesized maglev control system is evaluated for the variations of air gap and vehicle mass through computer simulation.

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외란 관측기를 이용한 모형 자율 주행 자동차의 강인 속도 제어 (Robust Speed Control of an Autonomous Vehicle Using Disturbance Observer)

  • 고영준;김영준;김정수
    • 제어로봇시스템학회논문지
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    • 제22권5호
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    • pp.339-345
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    • 2016
  • This paper presents a robust speed control of an autonomous vehicle using a disturbance observer. For the purpose, the transfer function of speed dynamics of an autonomous vehicle is identified using step response data. Based on the identified transfer function, model based PID (Proportional-Integral-Derivative) control is designed. In order to design a robust control against load variations on the vehicle, a disturbance observer (DOB) based control is devised. The performance of the designed DOB based control is demonstrated by real experiments.