• 전자공학회논문지SC
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• 제41권3호
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• pp.9-16
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• 2004

본 논문에서는 시변 시간지연을 가지는 특이시스템에 대한 관측기 기반 Η∞ 출력궤환 제어기 설계방법을 단 하나의 선형행렬부등식 조건을 이용하여 제시한다. 제어기가 존재할 충분조건과 제어기 설계방법을 모든 변수의 견지에서 완벽한 하나의 선형행렬부등식으로 표현하여 볼록최적화가 가능하도록 한다. 제어기의 설계과정은 제안한 하나의 충분조건으로부터 직접 구해진다. 구한 충분조건은 하나의 선형행렬부등식으로 표현되어지므로, 슈어 여수정리와 변수치환 및 특이치 분해의 기법에 의하여 궤환이득과 추정이득을 포함하는 모든 해로부터 관측기 기반 Η∞ 출력궤환 제어기를 동시에 구할 수 있다. 또한 제안한 알고리듬을 이용하여 파라미터 불확실성과 시간지연을 가지는 특이시스템에 대한 관측기 기반 견실 Η∞ 출력제환 제어기 설계도 가능함을 보인다. 마지막으로, 제안한 알고리듬의 타당성을 수치예제를 통하여 확인한다.

• 한국정밀공학회지
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• 제20권10호
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• pp.130-140
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• 2003

This paper presents an $H_\infty$controller synthesis based on disturbance observer for the trajectory control of a hydraulic excavator. Compared to conventional robot manipulators driven by electrical motors, hydraulic excavator have more nonlinear and coupled dynamics. In particular, the interactions between an excavation tool and the materials being excavated are unstructured and complex. In addition, its operating modes depend on working conditions, which make it difficult to not only derive the exact mathematical model but also design a controller systematically. In this study, the approximated linear model obtained through off-line system identification is used as nominal plant model for a disturbance observer. A disturbance observer based tracking controller which considers the effect of disturbance and model uncertainty is synthesized in $H_\infty$frameworks. Simulation results are used to demonstrate the applicability of the proposed control scheme.

• 한국정밀공학회지
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• 제15권12호
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• pp.128-141
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• 1998

We propose the robust nonlinear controller design methodology for the multivariable system which has hard nonlinearities (Coulomb friction, dead-zone, etc) and the structured real parameter uncertainty. The hard nonlinearity can be linearized by the RIDF technique and structured real parameter uncertainty can be modelled as the sense of Peterson-Hollot's quadratic Lyapunov bound. For this system, we apply the robust QLQG/H$_{\infty}$ control and then can obtain four Riccati equations. Because of the system's nonlinearity, however, one Riccati equation contains the nonlinear correction term that is very difficult to solve numerically, In order to treat this problem, using some transformations to Riccati equations, the nonlinear correction term can be eliminated. Then, only two Riccati equations need to design a controller. Finally, the robust nonlinear controller is synthesized via IRIDF techniques. To test this proposed control method, we consider the direct-drive robot manipulator system that has Coulomb frictions and varying inertia.

• 융합신호처리학회논문지
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• 제3권2호
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• pp.76-82
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• 2002

본 연구는 유연한 로봇팔의 선단 위치를 제어하기 위한 강인한 제어기의 설계하고 이것의 효과를 실험을 통하여 확인하는 데 있다. 이를 위해 먼저 유연한 로봇팔의 모델링을 Lagrange 방정식을 이용하여 수행하여 시스템의 수식모델을 구한 뒤, 이 모델을 기본으로 하는 강인한 제어기의 설계를 LMI(Linear Matrix Inequality)을 적용한 H$_{\infty}$이론을 도입하여 수행한다. 이 과정에서 로봇팔의 선단부하 변경으로 인한 시스템 파라미터의 변동을 플랜트가 가지는 불확실성 영역으로 간주하여 이를 설계에 적극적으로 반영함으로서 결과적으로 플랜트의 파라미터 변동에 강인한 제어기를 구현하고 이것의 유효성을 실험을 통하여 확인한다. .실험을 통하여 확인한다. .

• Journal of Mechanical Science and Technology
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• 제20권11호
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• pp.1898-1913
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• 2006

This paper deals with the design of a yaw rate controller based on gain-scheduled H$\infty$ optimal control, which is intended to maintain the lateral stability of a vehicle. Uncertain factors such as vehicle mass and cornering stiffness in the vehicle yaw rate dynamics naturally call for the robustness of the feedback controller and thus H$\infty$ optimization technique is applied to synthesize a controller with guaranteed robust stability and performance against the model uncertainty. In the implementation stage, the feed-forward yaw moment by driver's steer input is estimated by the disturbance observer in order to determine the accurate compensatory moment. Finally, HILS results indicate that the proposed yaw rate controller can satisfactorily improve the lateral stability of an automobile.

• 전자공학회논문지SC
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• 제45권3호
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• pp.32-41
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• 2008

본 논문에서는 blu-ray 디스크 드라이버의 트랙킹 서보시스템에 대하여 플랜트와 제어기의 불확실성을 보상하는 견실비약성 $H^{\infty}$ 상태궤환 제어기 설계방법을 제안한다. 플랜트와 제어기의 불확실성을 매개변수화 선형행렬부등식(PLMI: parameterized linear matrix inequality)을 이용하여 구조화된 불확실성의 형태로 표현하며, Lyapunov 함수를 이용하여 구조적인 제어기의 이득섭동을 고려한 견실비약성 $H^{\infty}$ 상태궤환 제어기가 존재할 충분조건 및 제어기 설계방법을 PLMI의 형태로 제안한다. 또한, 완화기법(relaxation technique)을 통하여 PLMI를 유한개의 LMI의 형태로 변환하여 견실하고 최적화된 제어기 이득과 제어기 섭동 범위를 계산하고, 모의실험을 통해서 제시된 제어기의 타당성 및 견실성(robustness)과 비약성(non-fragility)을 검증한다.

• 전기학회논문지
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• 제62권10호
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• pp.1425-1435
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• 2013

The useful method for determining parameters of weighting functions used to design the $H_{\infty}$ current controller for attenuating the current ripple due to saliencies which SPMSM(Surface Permanent Magnet Synchronous Motor) also incorporates is described. To analyze the effect, the current ripple due to the structural and the saturation saliencies, the SPMSM model with nonlinear inductance function depending on the two independent variables, rotor position and stator current is simulated. After analysis, parameters of the weighting functions for $H_{\infty}$ current controller is selected to satisfy the robust stability, robust performance and specific performance in time and frequency domain by using the PSO(Particle Swarm Optimization) algorithm in the linear SPMSM model. Especially, the robust performance is proved that the selected weighting functions play a role in reducing the current ripple caused by the saliencies of SPMSM at the desired frequency range by the simple experiment.

• 한국해양공학회지
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• 제22권4호
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• pp.14-19
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• 2008

This paper proposes a mixed $H_2/H_{\infty}$ optimal PID controller with a genetic algorithm based on the dynamic model of a brushless direct current (BLDC) motor and applies it to speed control. In the dynamic model of the BLDC motor with perturbation, the proposed controller guarantees arobust and optimal tracking performance to the desired speed of the BLDC motor. A genetic algorithm was used to obtain parameters for the PID controller that satisfy the mixed $H_2/H_{\infty}$ constraint. To implement the proposed controller, a control system based on PIC18F4431 was developed. Numerical and experimental results are shown to prove that the performance of the proposed controller was better than that of the optimal PID controller.

• 대한전기학회논문지:전력기술부문A
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• 제49권3호
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• pp.85-94
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• 2000

In this paper, a robust H$\infty$ optimal tuning problem of a structure-specified PSS is investigated for power systems with parameter variation and disturbance uncertainties. Genetic algorithm is employed for optimization method of PSS parameters. The objective function of the optimization problem is the H$\infty$-norm of a closed loop system. The constraint of the optimization problem are based on the stability of the controller, limits on the values of the parameters and the desired damping of the dominant oscillation mode. It is shown that the proposed H$\infty$ PSS tuned using genetic algorithm is more robust than conventional PSS.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1999년도 추계학술대회 논문집 학회본부 B
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• pp.612-614
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• 1999

In this paper a novel sliding mode control is proposed by using $H_2/H_{\infty}$ controller. this technique is constructed based on the augmented system with a virtual state and make it has the dynamics of the original system and then $H_2/H_{\infty}$ controller has robust characteristics of sliding mode control for existing parameter uncertainty. The reaching phase is excluded by setting initial virtual state value appropriately.