• Title/Summary/Keyword: LMI region

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Extraction of Facial Region Using Fuzzy Color Filter (퍼지 색상 필터를 이용한 얼굴 영역 추출)

  • Kim, M.H.;Park, J.B.;Jung, K.H.;Joo, Y.H.;Lee, J.;Cho, Y.J.
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.147-149
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    • 2004
  • There are no authentic solutions in a face region extraction problem though it is an important part of pattern recognition and has diverse application fields. It is not easy to develop the facial region extraction algorithm because the facial image is very sensitive according to age, sex, and illumination. In this paper, to solve these difficulties, a fuzzy color filer based on the facial region extraction algorithm is proposed. The fuzzy color filter makes the robust facial region extraction enable by modeling the skin color. Especially, it is robust in facial region extraction with various illuminations. In addition, to identify the fuzzy color filter, a linear matrix inequality(LMI) optimization method is used. Finally, the simulation result is given to confirm the superiority of the proposed algorithm.

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A Modified Approach to Density-Induced Support Vector Data Description

  • Park, Joo-Young;Kang, Dae-Sung
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.1
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    • pp.1-6
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    • 2007
  • The SVDD (support vector data description) is one of the most well-known one-class support vector learning methods, in which one tries the strategy of utilizing balls defined on the feature space in order to distinguish a set of normal data from all other possible abnormal objects. Recently, with the objective of generalizing the SVDD which treats all training data with equal importance, the so-called D-SVDD (density-induced support vector data description) was proposed incorporating the idea that the data in a higher density region are more significant than those in a lower density region. In this paper, we consider the problem of further improving the D-SVDD toward the use of a partial reference set for testing, and propose an LMI (linear matrix inequality)-based optimization approach to solve the improved version of the D-SVDD problems. Our approach utilizes a new class of density-induced distance measures based on the RSDE (reduced set density estimator) along with the LMI-based mathematical formulation in the form of the SDP (semi-definite programming) problems, which can be efficiently solved by interior point methods. The validity of the proposed approach is illustrated via numerical experiments using real data sets.

Design of H_{\infty} Control for Uncertain Linear Systems with Eigenvalue Assignment Constraint in a Disk (원판내 고유치 배정 조건을 갖는 불확정성 선형 시스템의H_{\infty}제어기 설계)

  • Ma, Sam-Seon;Kim, Jin-Hun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.9
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    • pp.520-525
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    • 2000
  • This paper deals with the design of H$\infty$ control for uncertain linear systems with the regional eigenvalue assignment constraint. The considered region is a disk in the left half plane and the two types of time-varying uncertainties are considered. We presents a state feedback control that minimize the L2 gain from the disturbance to the measured output as well as it guarantees that all eigenvalues of closed loop are inside a disk. The state feedback control is obtained by checking the feasibility of linear matrix inequalities (LMI's) which are numerically tractable. Finally we give an example to show the applicability and usefulness of our results.

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Robust PID Controller Design for Speed Control of BLDC Motors (BLDC 모터 속도제어를 위한 견실 PID 제어기 설계)

  • 양승윤;김인수;전완수
    • Journal of the Korea Institute of Military Science and Technology
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    • v.5 no.1
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    • pp.75-82
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    • 2002
  • In this paper, the robust PID(Proportional-Integral-Derivative) controller was designed for speed control of BLDC motors using the frequency region model matching method. It was designed the robust PID controller satisfying disturbance attenuation and robust tracking performance using an H$\infty$ control method. The robust PID controller gains with the performances of the designed H$\infty$ controller are determined using the model matching method at frequency domain. Consequently, simulation results show that the proposed PID speed controller satisfies load torque disturbance attenuation and robust tracking performance, and this study has usefulness and applicability for the speed control system design of BLDC motors.

The Robust Servo Controller Design of Magnetic Levitation System Considering Pole Assignment Region (극 배치영역을 고려한 자기 부상계의 로버스트 서보제어기 설계)

  • Kim, C.H.;Jeong, H.J.;Yang, J.H.
    • Journal of Power System Engineering
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    • v.4 no.4
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    • pp.84-91
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    • 2000
  • This paper describes a state feedback controller design method of the integral type magnetic levitation servo system which satisfies the design objectives. The design objective is a $H_{\infty}$ performance, asymptotic disturbance rejection and a robust pole assignment in linear matrix inequality(LMI) region. To the end, we investigated the validity of the designed controller which considering a robust pole assignment region, through results of simulation.

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On D-admissibility Conditions of Singular Systems

  • Gao, Lixin;Chen, Wenhai
    • International Journal of Control, Automation, and Systems
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    • v.5 no.1
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    • pp.86-92
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    • 2007
  • In this paper, we first establish $D_L$-admissibility and $D_R$-admissibility conditions for singular systems. The admissibility conditions expressed as Lyapunov type inequalities extend the existed results of normal systems to singular systems. As special cases the admissibility conditions of the continuous-time and the discrete-time singular systems can be obtained directly. The results established in this paper can be applied to solve the problems of eigenvalue assignment, regional pole-placement and robust control etc.

Robust Control of Horizontal-Shaft Magnetic Bearing System considering Pole Assignment Region (극 영역을 고려한 횡축형 자기 베어링 시스템의 로버스트 제어)

  • 김창화;추만석;양주호
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.21-21
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    • 2000
  • In this paper, we design the state feedback gain using linear matrix inequality(LMI) to the multiobjective synthesis, in the magnetic bearing system with integral type servo system. The design objectives can be a H$\_$$\infty$/ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-lnp pole location. To the end, we investigated the validity of the designed controller through results of simulation.

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A Study on the Robust Control of Horizontal-Shaft Magnetic Bearing System Considering Perturbation (불확실성을 고려한 횡축형 자기 베어링 시스템의 로버스트 제어에 관한 연구)

  • Kim, Chang-Hwa;Jung, Byung-Gun;Yang, Joo-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • v.34 no.1
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    • pp.92-101
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    • 2010
  • Recently, the magnetic bearings which have many advantages such as no noise, less mechanical friction are widely applied to the suspension of rotors on the rotary machineries. However, the magnetic bearing system is inherently unstable, nonlinear and MIMO(multi-input-multi-output) system as well. In this paper, we design a state feedback controller using linear matrix inequality(LMI) to the multi-objective synthesis, for the magnetic bearing system with integral type servo system. The design objectives include $H_{\infty}$ performance, asymptotic disturbance rejection, and time-domain constraints on the closed-loop pole location. The results of computer simulation show the validity of the designed controller.

Robust PID Controller Tuning Technique and Applicationi to Speed Controller Design for BLDC Motors (견실 PID 제어기 조정기법 및 BLDC 모터의 속도제어기 설계에의 응용)

  • Kim, In-Soo;Lee, Young-Jin;Park, Sung-Jun;Park, Han-Woong;Lee, Man-Hyung
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.8
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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.

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