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A Study on the solution of Equations for Decomposition of Singularly Perturbed Systems
Lim, Myo Taeg 고려대학교 공학기술연구소 1997 공학논문집 Vol.34 No.1
This paper presents an approach to solve algebraic equations composing the Chang transformation, which plays an important role in the study of linear singularly perturbed systems. The algebraic equations, which are composed of a weakly nonlinear equation and a linear Lyapunov type equation, are solved by using the eigenvector method. 1'he proposed method yields results of a very high accuracy, compared with the wellknown existing recursive methods - the fixed-point method and the Newton type recursive scheme. A numerical example is considered to demonstrate the efficiency of the method.
A Novel Method for LQG Control of Singularly Perturbed Continuous Stochastic Systems
Myo-Taeg Lim 한국정보과학회 1999 Journal of Electrical Engineering and Information Vol.4 No.2
In this paper we derive the exact composite control of singularly perturbed linear systems and apply this method to obtain the solution of the linear-quadratic Gaussian (LQG) control problem for singularly perturbed linear stochastic systems. The results obtained are stronger than the corresponding ones of the famous composite control of Chow and Kokotovic [11]. It is shown that the optimal LQG control problem takes the complete decomposition and parallelism between pure-slow and pure-fast filters and controllers.
Tumor Size Measurement and Feature Point Extraction Using an Endoscope
Jong-Wook Lim,Dong-Gi Woo,Hoon-Jai Chun,Bora Keum,Jong-Jin Hyun,Young-Joong Kim,Myo-Taeg Lim 제어로봇시스템학회 2010 제어로봇시스템학회 국제학술대회 논문집 Vol.2010 No.10
Recently, a development of the medical instrument using the vision information is brisk. Especially, extracting the 3-dimension information from 2-dimension image is the one of the major research topics. This paper proposes the method to measure tumor size by the 3-dimension information extraction, the triangulation using the extracted 3-dimension information and the camera geometry. To extract the 3-dimension information, the Hough circle transform and triangulation are used. The Hough circle transform is used to extract a feature point from tumor models for the 3-dimension information recovery. An extracted feature point is used for recovering the depth information from the 2-dimension tumor stereo images. A tumor size measurement is done by triangulation using the depth information and camera internal parameters. Matlab and Visual C++ are used for simulation.
Young-Joong Kim,Myo-Taeg Lim 대한전기학회 2006 International Journal of Control, Automation, and Vol.4 No.6
This paper presents a new algorithm for the closed-loop H∞ composite control of weakly coupled bilinear systems with time-varying parameter uncertainties and exogenous disturbance using the successive Galerkin approximation (SGA). By using weak coupling theory, the robust H∞ control can be obtained from two reduced-order robust H∞ control problems in parallel. The H∞ control theory guarantees robust closed-loop performance but the resulting problem is difficult to solve for uncertain bilinear systems. In order to overcome the difficulties inherent in the H∞ control problem, two H∞ control laws are constructed in terms of the approximated solution to two independent Hamilton-Jacobi-Isaac equations using the SGA method. One of the purposes of this paper is to design a closed-loop parallel robust H∞ control law for the weakly coupled bilinear systems with parameter uncertainties using the SGA method. The other is to reduce the computational complexity when the SGA method is applied to the high order systems.