• 한국생산제조학회지
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• 제9권4호
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• pp.85-90
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• 2000

In this paper, a robust $H_{\infty}$ a controller for semi-active suspension system is proposed. For the improvement of ride quality, the robust $H_{\infty}$ controller is designed to satisfy robust stability and road disturbance attenuation using an $H_{\infty}$ control design procedure. The performances of the design controller for some road conditions are evaluated by computer simulation and finally these simulation results show the usefulness and applicability of the proposed robust $H_{\infty}$ controller.

• Transactions on Control, Automation and Systems Engineering
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• 제3권3호
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• pp.139-145
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• 2001

In this paper, we consider the H$_2$(or guaranteed cost control) and H$_{\infty}$ controller design methods for singular(or descriptor) systems with input time delay. Also, a mixed H$_2$and H$_{\infty}$ controller design algorithm is treated by combination of the proposed H$_2$and H$_{\infty}$ controller design method. The sufficient conditions for the existence of controllers and controller design methods are introduced at each Lemma and Theorem. Furthermore, we present optimization problems to get the upper bound of performance measures. The proposed methods are checked by examples.

• International Journal of Control, Automation, and Systems
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• 제1권2호
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• pp.206-209
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• 2003

An $H_2$/$H_{\infty}$ -controller realization is carried out by considering an entropy integral. Using J-spectral factorization, the parametrizations of all $H_{\infty}$ stabilizing controllers are derived. By the relation of a mixed $H_2$/$H_{\infty}$ control problem and a minimum entropy/$H_{\infty}$ control problem, the mixed $H_2$/$H_{\infty}$-controller state-space realization is presented.

• 한국정밀공학회지
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• 제17권8호
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• pp.126-133
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• 2000

This paper is a study on robust PID controller tuning technique using the frequency region model matching method.To design the robust PID controller satisfying disturbance attenuation and robust tracking property for a reference input first an {{{{ETA _$\infty$}}}} controller satisfying given performances is designed using an H$_{\infty}$ control method, And then the parameters(proportional gain integral gain and derivation gain) of the robust PID controller with the performances of the desinged H$_{\infty}$ controller are determined using the model matching method at frequency domain. in this paper this PID controller tuning technique is applied to PID speed controller design for BLDC motors. Consequently simulation results show that the proposed PID speed controller satisfies load torque disturbance attenuation and robust tracking property and this study has usefulness and applicability for the speed control system; design of BLDC motors.

• 전자공학회논문지SC
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• 제42권6호
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• pp.9-14
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• 2005

본 논문은 특이시스템과 곱셈형 섭동을 가지는 제어기에 대한 비약성 $H_{\infty}$ 제어기 설계 알고리듬을 제안한다. 제어기가 존재할 조건과 비약성 $H_{\infty}$ 제어기 설계 방법 및 제어기에서의 비약성 척도를 선형행렬부등식 접근방법으로 제안한다. 또한, 특이치 분해와 변수치환 및 슈어 여수정리를 이용하여 구한 충분조건은 구하고자 하는 모든 변수의 견지에서 볼록최적화(convex optimization)가 가능한 하나의 선형행렬부등식으로 변형된다. 따라서, 제안한 비약성 $H_{\infty}$ 제어기는 점근적 안정성과 폐루프 특이시스템의 $H_{\infty}$ 노옴 유계 및 제어기의 곱셈형 섭동에 대한 안정성을 보장한다. 또한, 제안한 알고리듬을 이용하면 변수 불확실성을 가지는 특이시스템에 대한 강인 비약성 $H_{\infty}$ 제어기 설계 문제에도 쉽게 확장됨을 보인다. 마지막으로, 수치예제를 통하여 제안한 알고리듬의 타당성을 검증한다.

• Smart Structures and Systems
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• 제9권4호
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• pp.373-392
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• 2012

Tracking control of systems with variable stiffness hysteresis using a gain-scheduled (GS) controller is developed in this paper. Variable stiffness hysteretic system is represented as quasi linear parameter dependent system with known bounds on parameters. Assuming that the parameters can be measured or estimated in real-time, a GS controller that ensures the performance and the stability of the closed-loop system over the entire range of parameter variation is designed. The proposed method is implemented on a spring-mass system which consists of a semi-active independently variable stiffness (SAIVS) device that exhibits hysteresis and precisely controllable stiffness change in real-time. The SAIVS system with variable stiffness hysteresis is represented as quasi linear parameter varying (LPV) system with two parameters: linear time-varying stiffness (parameter with slow variation rate) and stiffness of the friction-hysteresis (parameter with high variation rate). The proposed LPV-GS controller can accommodate both slow and fast varying parameter, which was not possible with the controllers proposed in the prior studies. Effectiveness of the proposed controller is demonstrated by comparing the results with a fixed robust $\mathcal{H}_{\infty}$ controller that assumes the parameter variation as an uncertainty. Superior performance of the LPV-GS over the robust $\mathcal{H}_{\infty}$ controller is demonstrated for varying stiffness hysteresis of SAIVS device and for different ranges of tracking displacements. The LPV-GS controller is capable of adapting to any parameter changes whereas the $\mathcal{H}_{\infty}$ controller is effective only when the system parameters are in the vicinity of the nominal plant parameters for which the controller is designed. The robust $\mathcal{H}_{\infty}$ controller becomes unstable under large parameter variations but the LPV-GS will ensure stability and guarantee the desired closed-loop performance.

• 한국통신학회논문지
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• 제25권7A호
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• pp.967-977
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• 2000

본 논문은 도립전자 시스템을 LFR(Linear Fractional Representation)로 표현하여 얻어진 일반화 제어대상에 대하여 혼합 ${H_2}/H_{\infty}$ 제어기법을 적용한다. 먼저, 일반화 제어대상을 얻기 위하여, LFR로 표현한 도립진자의 선형 모델을 유도한다. LFR에서 고려한 구체적인 불확실성은 3개의 비선형 성분과 1개의 진자질량 불확실성이다. 유도된 선형모델에 하중함수를 더하여 LFR 모델을 확대함으로써 일반화된 제어대상을 얻는다. 다음으로, 이 일반화 제어대상에 대하여 혼합 ${H_2}/H_{\infty}$ 제어기를 설계한다. 혼합 ${H_2}/H_{\infty}$ 제어기 설계를 위해서 LMI(Linear Matrix Inequalities) 기법을 이요한다. 설계된 혼합 ${H_2}/H_{\infty}$ 제어기의 제어성능과 강건 안정성을 평가하기 위해서 모의실험과 실물실험을 통하여 $H_{\infty}$ 제어기와 비교한다. 실험결과, $H_{\infty}$ 제어때 보다 적은 피드백 정보만으로도 혼합 ${H_2}/H_{\infty}$ 제어기는 도립진자의 진자각도 측면에서 $H_{\infty}$ 제어기보다 나은 강건 안정성과 제어 성능을 보인다.

• 대한전기학회논문지:시스템및제어부문D
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• 제54권1호
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• pp.11-16
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• 2005

This paper considers a robust observer-based H/sub ∞/ controller design method for singular systems with parameter uncertainties using an LMI condition. The sufficient condition for the existence of controller and the controller design method are presented by a perfect LMI condition in terms of all variables using singular value decomposition, Schur complement, and change of variables. Therefore, one of the main advantages is that a robust observer-based H/sub ∞/ controller can be established by solving one LMI condition compared with existing results. Numerical example is given to illustrate the effectiveness of the proposed controller design method.

• 대한기계학회논문집A
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• 제26권10호
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• pp.2052-2059
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• 2002

In this study, a synchronous controller algorithm being applicable to two-axis position synchronzation is developed. Based on coupling structure, the synchronous control system is composed of speed and synchronous controllers. The speed controller is designed to follow a speed reference. In addition, the synchronous controller is designed from the viewpoint of accurate synchronization and robust stability in H$\infty$ synthesis. Finally, the effectiveness of the presented controller is demonstrated through extensive experiments.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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• pp.560-564
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• 1996

A mixed H$^{2}$/$H^{\infty}$ controller design method for linear systems with time delay in all variables and parameter uncertainties in all system matrices is proposed. Robust $H^{\infty}$ performance and H$^{2}$ performance condition that accounts for model-matching of closed loop system and disturbance rejection is also derived. With expressing uncertain system with linear fractional transformation form, we transform the robust stability and performance problem to the H$^{2}$/$H^{\infty}$ optimization problem and design a mixed H$^{2}$/$H^{\infty}$ controller. Using the proposed method, mixed H$^{2}$/$H^{\infty}$ controller for underwater vehicle with time delay and parameter variations are designed. Simulations of a design example with hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.t performance.ance.