• The Transactions of The Korean Institute of Electrical Engineers
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• v.59 no.8
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• pp.1444-1448
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• 2010

The ball and beam system is one of the most popular models for studying control systems because of its nonlinearity and several control techniques have been proposed. Sliding mode control is a popular robust control method which rejects the external disturbance. In this paper, we propose a robust controller using the ${\epsilon}$-sliding surface. On the ${\epsilon}$-sliding surface, the system robustness and convergence can be manipulated via a use of ${\epsilon}$. We show the stability analysis and convergence analysis on the ${\epsilon}$-sliding surface. In addition, the experimental results show the validity of the proposed controller.

• Journal of Institute of Control, Robotics and Systems
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• v.11 no.11
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• pp.907-912
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• 2005

In this paper, we consider the problem of designing sliding surfaces fur a class of dynamic systems with mismatched uncertainties in the state space model. In terms of LMIs, we give necessary and sufficient conditions fir the existence of a linear sliding surface such that the reduced order sliding mode dynamics is asymptotically stable and completely independent of uncertainties. We parameterize all such linear sliding surfaces by using the solution to the given LMI conditions. And, we consider the problem of designing linear sliding surfaces guaranteeing pole placement constraints or $H_2/H_infty$ performances. Finally, we give a design example in order to show the effectiveness of our method.

• Journal of Institute of Control, Robotics and Systems
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• v.16 no.12
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• pp.1197-1200
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• 2010

The problem of designing a nonlinear sliding surface for an uncertain system is considered. The proposed sliding surface comprises a linear time invariant term and an additional time varying nonlinear term. It is assumed that a linear sliding surface parameter matrix guaranteeing the asymptotic stability of the sliding mode dynamics is given. The linear sliding surface parameter matrix is used for the linear term of the proposed sliding surface. The additional nonlinear term is designed so that a Lyapunov function decreases more rapidly. By including the additional nonlinear term to the linear sliding surface parameter matrix we obtain a nonlinear sliding surface such that the speed of responses is improved. We also give a switching feedback control law inducing a stable sliding motion in finite time. Finally, we give an LMI-based design algorithm, together with a design example.

• Transactions of the Korean Society of Mechanical Engineers
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• v.15 no.5
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• pp.1649-1656
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• 1991

본 연구에서는 가변구조제어에 의한 조준경 고각 안정화를 모색하였다. 이 를 위해 조준경 고각 안정화 시스템의 운동 방정식을 이용하여 가변구조제어기를 설계 하였으며 방정식을 이용하여 가변구조제어기를 설계하였으며 실제 주행시험결과 측정 된 차량의 각속도를 외란으로 사용하여 컴퓨터 시뮬레이션하여 가변구조제어에 의한 조준경 고각 안정화가 동적안정도를 충족시킴을 보였다.

• Journal of Institute of Control, Robotics and Systems
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• v.13 no.9
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• pp.851-855
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• 2007

This paper deals with the problem of designing a linear sliding surface design for a class of uncertain systems with mismatched unstructured uncertainties. The uncertain system under consideration may have mismatched parameter uncertainties in the state matrix as well as in the input matrix. In terms of linear matrix inequalities (LMIs), we give a sufficient condition for the existence of linear sliding surfaces guaranteeing the asymptotic stability of the sliding mode dynamics. We show that our LMI condition can be less conservative than the existing conditions and our result supplement the existing results. Finally, we give a numerical example showing that our method can be better than the previous results.

• Journal of Institute of Control, Robotics and Systems
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• v.6 no.9
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• pp.745-751
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• 2000

In this paper, the novel sliding durfaces are proposed by defining the virtual states. These sliding surfaces have the nominal dynamics of the original system and make it possible that the sliding Mode Control(SMC) technique is used with various types of controllers. Its design is based on the augmented system which additional dynamics as many as input numbers. The reaching phase is eliminated by using the initial virtual states which make the initial sliding functions equal to zero.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.12a
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• pp.131-134
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• 2002

일반적인 산업현장에서 많이 사용되는 이중탱크 시스템은 동작점 근방에서 선형화하는 고전제어기법을 사용한 것으로서 큰 시간지연과 비선형성으로 인해 정확한 수학적 모델링이 어렵고 모델링을 하더라도 넓은 동작 영역에서 만족스로운 결과를 얻기 어렵다. 따라서, 비교적 모델링에 대한 의존도가 낮은 퍼지, 신경회로망, 유전알고리즘 등의 지능제어 기법들도 제안되고 있다. 그러나 이들 제어기 역시 외란이나 다양한 동작 모드들에 따른 제어기 변수들의 적응성 저하로 인해 안정화 가능 영역이 협소해 지는 것은 물론 시스템의 불안정 현상도 초래한다. 이에 반해, SMC(sliding mode controller)는 변수의 변동, 외란에 둔감한 강점을 갖고 있지만, 시스템의 상태에 따른 슬라이딩 평면 설정의 곤란성과 채터링(chattering)이 존재하는 문제점 이 있다. 따라서 본 논문에서는 이중 탱크 시스템의 정밀한 수위 제어를 위하여, GA과 FLC를 사용하여 최적 변수로 설정 할 수 있게 하고, 채터링 저감을 위해 시스템 동특성 변동과 외란 에 강인한 GA-FSMC(genetic algorithm fuzzy sliding mode controller)를 제안하였다. 시뮬레이션을 통해 종래의 제어기의 제어결과와 비교함으로써 제안하는 GA-FSMC의 우수성을 입증하고자 한다.

• Proceedings of the Korea Institute of Convergence Signal Processing
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• 2003.06a
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• pp.153-156
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• 2003

This short paper suggests a control strategy using a stepwise fuzzy moving sliding surface. The moving surface is a Sugeno-type fuzzy system that has the angle of state error vector and the distance from the origin in the phase plane as inputs and a first-order linear differential equation as an output. The surface initially passes arbitrary initial states and subsequently moves towards a predetermined surface via rotating or shifting. the proposed method reduces the reaching and tracking time and improves robustness. The asymptotic stability of the fuzzy sliding surface is proved. The validity of the proposed control scheme is shown in computer simulation for a second-order nonlinear system.

• Proceedings of the KIEE Conference
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• 2007.07a
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• pp.1646-1647
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• 2007

In the conventional sliding mode control(SMC), the states of controlled systems are linearly dependent because of the characteristic of the sliding surface. This means that conventional SMC can not add its robustness to other control methods. To overcome this problem, a special sliding surface with additional dynamic states has been proposed. However the additional dynamic states make it difficult to design a controller because the order ofa controller becomes higher. So, in this paper, a novel sliding surface design method, which does not require any additional dynamic state, is proposed. The relationships between the states with desirable responses can be expressed by using SVM and included in a sliding mode dynamics. The robust optimal controller with the optimal performanceand the robustness of SMC is considered.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.49 no.2
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• pp.121-128
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• 2021

In this paper, we propose a path generation and tracking algorithm of an unmanned air vehicle in a two-dimensional plane given the initial and final points. The path generation algorithm using the Dubins curve proposed in this work has the advantage that it can be applied in real time to an unmanned air vehicle. The path tracking algorithm is an algorithm similar to the line-of-sight induction algorithm. In order to efficiently control the direction angle, a gain related to the look ahead distance concept is introduced. Most of UAVs have the limited maximum curvature due to the structural constraints. A numerical simulation is conducted to follow the path generated by the sliding mode controller considering the angular velocity limit. The path generation and tracking performance is verified by comparing the suggested controller with conventional control techniques.