Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 3

LMI Related Abstracts

3 Sampling Effects on Secondary Voltage Control of Microgrids Based on Network of Multiagent

Authors: S. H. Lee, M. J. Park, O. M. Kwon, C. H. Lee


This paper studies a secondary voltage control framework of the microgrids based on the consensus for a communication network of multiagent. The proposed control is designed by the communication network with one-way links. The communication network is modeled by a directed graph. At this time, the concept of sampling is considered as the communication constraint among each distributed generator in the microgrids. To analyze the sampling effects on the secondary voltage control of the microgrids, by using Lyapunov theory and some mathematical techniques, the sufficient condition for such problem will be established regarding linear matrix inequality (LMI). Finally, some simulation results are given to illustrate the necessity of the consideration of the sampling effects on the secondary voltage control of the microgrids.

Keywords: microgrids, Sampling, secondary control, multiagent, LMI

Procedia PDF Downloads 196
2 Advanced Stability Criterion for Time-Delayed Systems of Neutral Type and Its Application

Authors: S. H. Lee, M. J. Park, O. M. Kwon, C. H. Lee


This paper investigates stability problem for linear systems of neutral type with time-varying delay. By constructing various Lyapunov-Krasovskii functional, and utilizing some mathematical techniques, the sufficient stability conditions for the systems are established in terms of linear matrix inequalities (LMIs), which can be easily solved by various effective optimization algorithms. Finally, some illustrative examples are given to show the effectiveness of the proposed criterion.

Keywords: Stability, time-delay, neutral systems, LMI, Lyapnov method

Procedia PDF Downloads 180
1 H∞ Sampled-Data Control for Linear Systems Time-Varying Delays: Application to Power System

Authors: Seung-Hoon Lee, Chang-Ho Lee, Myeong-Jin Park, Oh-Min Kwon


This paper investigates improved stability criteria for sampled-data control of linear systems with disturbances and time-varying delays. Based on Lyapunov-Krasovskii stability theory, delay-dependent conditions sufficient to ensure H∞ stability for the system are derived in the form of linear matrix inequalities(LMI). The effectiveness of the proposed method will be shown in numerical examples.

Keywords: lyapunov-krasovskii functional, LMI, H∞ control, sampled-data control system, time delay-dependent

Procedia PDF Downloads 146