• Journal of the Korean Institute of Intelligent Systems
• /
• v.11 no.6
• /
• pp.477-486
• /
• 2001

In this paper , we study the problem of designing TS(Takagi-Sugeno) fuzzy controllers for the systems that can be approximated or represented by the TS fuzzy model. The main strategy used in this paper is the inverse optimal approach, in which the cost function is determined later than the Lyapunov function and its corresponding control input satisfying the design requirements such as stability, decay rate, and robustness against uncertainty. This approach is useful because it yields controllers satisfying the inherent robustness of optimal controllers as well as the considered design goals. The design procedures established in this paper are all in the from of solving LMIs(Iinear matrix inequalities). Since the LMIs arising in the design procedures can be solved within a given tolerance by the interior point methods. the design method of the paper are efficient in practice. The applicability of the proposed design procedures is demonstrated by design examples.

• Proceedings of the Korean Vacuum Society Conference
• /
• 2014.02a
• /
• pp.402.2-402.2
• /
• 2014

과학과 기술이 발전할수록 나노크기를 넘어서 나노 크기미만의 관찰 분해능과 가공능력이 필수로 요구되어 측정장비와 가공장비의 연구 및 개발이 매우 중요하다. 현재는 주사전자현미경과 투과전자현미경의 발달로 나노크기 이하의 이미징 분해능에는 도달하였지만, 전자 입자의 가벼운 무게 때문에 가공측면에서는 한계를 가지고 있다. 또한 지난 수십 년간 정밀가공에 사용된 갈륨이온 LMIS(Liquid Metal Ion Source)기반의 집속이온빔 시스템은 수십 nm의 가공정밀도를 가지지만 10 nm 미만의 가공정밀도까지 구현하기에는 현재 기술적인 한계로 힘들다. 나노크기 이하의 이미징 분해능과 수 nm의 가공정밀도를 갖는 이온현미경이 최근에 상용화되어 판매되고 있는데, 이 이온 현미경에 사용되는 것이 가스장 이온원(GFIS:Gas Field Ionization Source)이다. 가스장 이온원은 작은 발산각, 작은 가상 이온원 크기 그리고 좁은 에너지 퍼짐의 특징을 가지며 이에 따라 구면수차 및 색수차에도 둔감한 특징을 가지고 있다. 또한 LMIS 는 갈륨이온이 시편속에 파고들어 시편의 물질 특성이 변화되는 문제가 있지만, GFIS에서는 주로 He, Ne 와 같은 불활성 기체를 주로 사용하므로 시편과 반응을 최소화 할 수 있는 장점도 있다. 위와 같은 특징을 갖는 이온빔을 GFIS 로 생성하고 이온현미경에 사용하기 위해서는 이온빔이 팁의 단원자 내지 수 개 정도의 원자에서 생성되도록 해야 한다. 본 연구에서는 GFIS 의 원리를 소개하고 장(전계)이온현미경(Field Ion Microscope)실험을 통하여 GFIS기반으로 생성된 이온빔의 형상을 보여준다. 또한 높은 각전류밀도 구현을 위하여 질소가스 에칭으로 텅스텐 팁 끝 단원자에서만 이온빔을 생성하고, 각전류 밀도 계산과 안정도 실험결과로 본 연구에서 개발한 이온원이 이온총으로서의 이온현미경 적용 가능성에 대해 보여준다.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
• /
• v.23 no.2
• /
• pp.177-187
• /
• 2005

The Land Use Suitability Assessment System was recently introduced by the Act on Planning and Utilization of the National Territory to use, manage, and develop the national territory, which integrated the National Land Use and Management Act and the Urban Planning Act. It provides a guideline for land use according to locational characteristics, usability, and developmental conditions of land in the vicinity. The database is constructed with LMIS cadastral data, posted land price data, and the data of related agencies such as the Korea Forest Service, the Ministry of Environment, and the Korea Water Resources Corporation etc. In this paper we describe accurate database construction method fur land use suitability assessment system as classifying and verifying errors deriving from database construction focused on Jinju city. Those data errors have the problems such as accuracy difference among the related agencies data, gap of data acquisition time, and non-consideration of latest updated data etc.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.21 no.3
• /
• pp.372-377
• /
• 2011

This paper propose the robust stability algorithm for controlling a hybrid magnetic bearing system. The control object in the magnetic bearing system enables the rotor to rotate without any physical contact by using magnetic force. Generally, the system dynamics of the magnetic bearing system has severe nonlinearity and uncertainty so that it is not easy to obtain the control objective. For solving these problems, we propose the fuzzy modelling and robust control algorithm for hybrind magnetic bearing system. The sufficient conditions for robust controller are obtained in terms of solutions to linear matrix inequalities (LMIs). Simulation results for HMB are demonstrated to visualize the feasibility of the proposed method.

• 제어로봇시스템학회:학술대회논문집
• /
• 1997.10a
• /
• pp.81-84
• /
• 1997

This paper studies an active noise controller in a communication headset. The system is a two inputs(communication signal and noise signal) and single output(error signal) system. The problem is to reduce noise level sufficiently lower than communication signal to receive the communication signal clearly. The approach to this problem is in two steps. In the first step, we solve the noise rejection problem without communication signals. In this step, the problem is transformed to the robust H$_{\infty}$ regulating problem and solved using Linear Matrix Inequalities. In the second step, communication signal is introduced to the system, To verify the performance of the designed controller, a couple of experiments are performed..

• 제어로봇시스템학회:학술대회논문집
• /
• 1997.10a
• /
• pp.688-691
• /
• 1997

This paper presents an $H^{\infty}$ controller design method for linear time-invariant systems with delayed state and control. Using the second method of Lyapunov, the stability for delayed systems is discussed. For delayed systems, we derive a sufficient condition of the bounded real lemma(BRL) which is similar to BRL for nondelayed systems. And the sufficient conditions for the existence of an output feedback $H^{\infty}$ controller of any order are given in terms of three linear matrix inequalities(LMls). Futhermore, we briefly explain how to construct such controllers from the positive definite solutions of their LMIs and give a simple example to illustrate the validity of the proposed design procedure.e.

• Transactions on Control, Automation and Systems Engineering
• /
• v.2 no.1
• /
• pp.19-23
• /
• 2000

In this paper, we deal with the problem of designing guaranteed cost state feedback controller for the generalized time-varying delay systems with delayed state and control input. The generalized time delay system problems solved on the basis of LMI(linear matrix inequality) technique considering time-varying delays. The sufficient condition for the existence of controller and guaranteed cost state feedback controller design methods are presented. Also, using some changes of variables and Schur complements, the obtained sufficient condition can be reformulated as LMI forms in terms of transformed variables. Therefore, all solutions of LMIs, guaranteed cost controller gain, and guaranteed cost are obtained at the same time. The proposed controller design method can be extended into the problem of robust guaranteed cost controller design method for parameter uncertain systems with time-varying delays easily.

• Transactions on Control, Automation and Systems Engineering
• /
• v.2 no.1
• /
• pp.31-39
• /
• 2000

We present a robust and reliable H$\infty$ state-feedback controller design for linear uncertain systems, which have norm-bounded time-varying uncertainty in the state matrix, and their prespecified sets of actuators are susceptible to failure. These controllers should guarantee robust stability of the systems and H$\infty$ norm bound against parameter uncertainty and/or actuator failures. Based on the linear matrix inequality (LMI) approach, two state-feedback controller design methods are constructed by formulating to a set of LMIs corresponding to all failure cases or a single LMI that covers all failure cases, with an additional costraint. Effectiveness and geometrical property of these controllers are validated via several numerical examples. Furthermore, the proposed LMI frameworks can be applied to multiobjective problems with additional constraints.

• International Journal of Control, Automation, and Systems
• /
• v.2 no.1
• /
• pp.76-82
• /
• 2004

A robust fuzzy controller is designed to stabilize a class of solvable nonlinear descriptor systems with time-varying delay. First, a new modeling and control method for nonlinear descriptor systems is presented with a fuzzy descriptor model. A sufficient condition for the existence of the fuzzy controller is given in terms of a series of LMIs. Then, a less conservative fuzzy controller design approach is obtained based on the fuzzy rules and weights. This method includes the interactions of the different subsystems into one matrix. The effectiveness of the presented approach and the design procedure of the fuzzy controller are illustrated by way of an example.

• Journal of Institute of Control, Robotics and Systems
• /
• v.9 no.11
• /
• pp.861-867
• /
• 2003

We propose a sliding surface design method for linear systems with mismatched uncertainties in the state space model. In terms of LMIs, we derive a necessary and sufficient condition for the existence of a linear sliding surface such that the reduced-order equivalent sliding mode dynamics restricted to the linear sliding surface is not only stable but completely invariant to mismatched uncertainties. We give an explicit formula of all such linear switching surfaces in terms of solution matrices to the LMI existence condition. We also give a switching feedback control law, together with a design algorithm. Additionally, we give some hints for designing linear switching surfaces guaranteeing pole clustering constraints or linear quadratic performance bound constraints. Finally, we give a design example in order to show the effectiveness of the proposed methodology.