• 대한기계학회논문집A
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• 제30권9호
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• pp.1094-1101
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• 2006

Recently, a ultra-precision stage is widely used in the fields of the nano-technology, specially in AFMs(Atomic Force Microscope) and STMs(Scanning Tunneling Microscope). In this paper, the ultra-precision stage which consists of flexure hinges, piezoelectric actuator and ultra-precision linear encoder, is designed and developed. The system transfer function of the ultra-precision stage system was derived from the step responses of the system using system identification tool. A $H_{\infty}$ controller was designed using loop shaping method to have robustness for the system uncertainty and external disturbances. For the designed controller, simulations were performed and it was applied to the ultra-precision stage system. From the experimental results it was found that this stage could be controlled with less than 5nm resolution irrespective of hysteresis and creep.

• 전자공학회논문지SC
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• 제47권6호
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• pp.64-72
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• 2010

본 논문에서는 폴리토프 불확실성과 시간지연, 그리고 제어기 섭동을 가지는 비선형 상호연결시스템의 상태궤환 제어기에 대한 견실비약성 $H_{\infty}$ 분산 퍼지제어기 설계 방법을 다룬다. 먼저 시간지연을 가지는 비선형 상호연결시스템을 Takagi-Sugeno 퍼지모델로 나타내고, 이로부터 지연종속 견실비약성 $H_{\infty}$ 퍼지제어기가 존재하기 위한 충분조건, 제어기 설계방법 및 비약성을 만족하는 제어기의 꽉찬집합(compact set)을 제시한다. 이 때 제시한 조건은 변수치환과 슈어여수(Schur complement)정리를 통해 선형행렬부등식(LMI: Linear Matrix Inequality)의 계수가 꽉찬 집합 내의 파라미터의 함수로 정의되는 파라미터화 선형행렬부등식(PLMIs: Parameterized Linear Matrix Inequalities)으로 표현되며, 이를 완화기법(relaxation technique)를 사용하여 유한개의 선형행렬부등식으로 변환하고, 제어기와 비약성을 만족하는 제어기 영역을 구한다. 마지막으로 예제와 모의실험을 통해 불확실성과 시간지연, 제어기이득 섭동에도 불구하고 제안한 퍼지제어기가 폐루프시스템을 안정화시키고 외란감쇠를 보장함을 확인한다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1999년도 제14차 학술회의논문집
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• pp.92-95
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• 1999

The design problem of the control system is the ability to synthesize controller that achieve robust stability and robust performance. The paper explains the Finite Inclusions Theorem (FIT) by the procedure namely FIT synthesis. It is developed for synthesizing robustly stabilizing controller for parametrically uncertain system. The fundamental problem in the study of parametrically uncertain system is to determine whether or not all the polynomials in a given family of characteristic polynomials is Hurwitz i.e., all their roots lie in the open left-half plane. By FIT it can prove a polynomial is Hurwitz from only approximate knowledge of the polynomial's phase at finitely many points along the imaginary axis. An example shows the simplicity of using the FIT synthesis to directly search for robust controller of parametrically uncertain system by way of solving a sequence of systems of linear inequalities. The systems of inequalities are solved via the projection method which is an elegantly simple technique fur solving (finite or infinite) systems of convex inequalities in an arbitrary Hilbert space. Results from example show that the controller synthesized by FIT synthesis is better than by H$\sub$$\infty$/ synthesis with parametrically uncertain system as well as satisfied the objectives for a considerably larger range of uncertainty.

• 제어로봇시스템학회논문지
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• 제20권3호
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• pp.261-269
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• 2014

This paper provides an overview of the basics and recent studies of Lyapunov-based nonlinear adaptive control, the aim of which is to improve or maintain the performance and stability of the closed-loop system by cancelling out the presumable uncertainties in the nonlinear system dynamics. The design principles are essentially based on Lyapunov's direct method. In this survey, we provide a comprehensive overview of Lyapunov-based nonlinear adaptive control techniques with simplified effective design examples, which are to be elaborated as related recent results are gradually shown. The scope of the survey contains research on singularity problems in adaptive control, the techniques to deal with linearly and nonlinearly parameterized uncertainties, robust neuro-adaptive control, and adaptive control methodologies combined with various nonlinear control techniques such as sliding-mode control, back-stepping, dynamic surface control, and optimal/$H_{\infty}$ control.

• 전자공학회논문지T
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• 제35T권3호
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• pp.76-86
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• 1998

2관성 공진(TMS: Two-Mass Spring) 시스템은 비틀림 진동을 다루기 위하여 고려할 수 있는 가장 간단한 모델이다. 이러한 시스템은 비틀림 진동을 억제하며, 원하는 특성을 달성하기 위한 제어기 설계가 요구된다. 본 논문에서는 2관성 공진 시스템에 대하여 상태 피드백을 고려하고, 각 상태가 응답성능에 미치는 영향을 살펴본다. 이 결과와 상태 피드백의 이득을 이용하여 제어기의 설계 매개변수와 LQ 및 H/sub ∞/ 제어의 하중함수 결정에 대한 기본 지침을 제시한다.

• 제어로봇시스템학회논문지
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• 제8권5호
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• pp.363-372
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• 2002

In ship operation, the roll motions can seriously degrade the performance of mechanical and personnel effectiveness. So many studies for the roll stabilization system design have been performed and good results have been achieved. In many studies, the stabilizing fins are used. Recently rudders, which have been extensively modified, have been used exclusively to stabilize the roll. But, in the roll stabilization control system, the control performance is very sensitive to the ship speed. So, we can see that it is important to consider the ship speed in the rudder roll control system design. The gain-scheduling control technique is very useful in the control problem incorporating time varying parameters which can be measured in real time. Based on this fact, in this paper we examine the;$H_{\infty}$-Gain Scheduling control design technique. Therefore, we assume that a parameter, the ship speed which can be estimated in real time, is varying and apply the gain-scheduling control technique to design the course keeping and anti-rolling control system far a ship. In this control system, the controller dynamics is adjusted in real-time according to time-varying plant parameters. The simulation result shows that the proposed control strategy is shown to be useful for cases when the ship speed is varying and robust to disturbances like wind and wave.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
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• pp.424-427
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• 1995

In this paper, a control law based on the receding horizon concept which robustly stabilizes time-varying discrete linear systems, is proposed. A dynamic game problem minimizing the worst case performance, is adopted as an optimization problem which should be resolved at every current time. The objective of the proposed control law is to guarantee the closed loop stability and the infinite horizon $H^{\infty}$ norm bound. It is shown that the objective can be achieved by selecting the proper terminal weighting matrices which satisfy the inequality conditions proposed in this paper. An example is included to illustrate the results..

• 한국소음진동공학회논문집
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• 제15권4호
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• pp.437-444
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• 2005

이 논문은 비압축성 유동장에 노출된 2차원 플랩이 있는 날개의 단면에 대한 강인한 공탄성 제어기법을 소개하고 있다. 강인한 제어기는 다목적 상태궤환 합성법을 위해 선형행렬부등식을 이용하여 설계되었다. 제어기의 설계목적은 모델불확실성이 존재하는 상황에서 주파수영역에서의 성능과 시간영역에서의 성능을 함께 만족시키는 것으로 하였다. 수치예제들은 2차원-3자유도 플랩이 있는 날개 단면의 공탄성 응답을 감쇠시키는데 있어서 선형행렬부등식의 접근법의 유효성을 잘 제시하고 있다.

• International Journal of Precision Engineering and Manufacturing
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• 제3권2호
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• pp.15-21
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• 2002

A control-structure combined optimal design problem is discussed taking a 3-D truss structure as a design object. We use descriptor forms for a controlled object and a generalized plant because the structural parameters appear naturally in these farms. We consider not only minimum weight design problem for structure system, but also suppression problem of the effect of disturbances for control system as the purpose of the design. A numerical example shows the validity of combined optimal design of structure and control systems. We also consider the validity of sensor-actuator collocation for control system design in this paper.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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• pp.16-19
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• 1994

This paper describes a design method of compensators for decentralized control systems. Decentralized control problem is convenient to design multi-variable control systems and formulated as a series of independent designs. The proposed design method is composed of some steps, which is sequentially to close loop of the system diagonalized by regarding interactive subsystem as perturbation for current loop. So, on the basis of H$_{\infty}$ control theory, decentralized controllers are designed considering robust stability for diagonal systems with perturbations. A numerical example shows that the proposed design method is effective for multivariable control systems..