Stability criterion with less LMI variables for li

Authors: K Ramakrishnan G Ray

Publish Date: 2011/12/06

Volume: 8, Issue: 4, Pages: 490-492

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Abstract

In this correspondence paper an equivalent stability criterion with minimal number of linear matrix inequality LMI variables is presented for a delaydependent stability criterion reported recently in the International Journal of Automation and Computing for a class of linear discretetime systems with additive time delays The reported stability criterion for the additive timedelay systems has more number of matrix variables in the LMI and hence demand additional computational burden The proposed equivalent stability criterion unlike the reported one does not involve freeweighing matrices and encompass only the matrix variables that are associated in the LyapunovKrasovskii functional making the criterion mathematically less complex and computationally more effectiveK Ramakrishnan received the bachelor degree in electrical and electronics engineering from Government College of Technology Coimbatore Tamil Nadu India in 1993 and master degree in control systems engineering from PSG College of Technology Coimbatore Tamil Nadu India in 1995 He is currently a full time QIP Research Scholar with the Department of Electrical Engineering Indian Institute of Technology Kharagpur India He is presently on a three year 2008–2011 deputation from Pondicherry Engineering College Pondicherry India for his Ph D programme in Indian Institute of Technology Kharagpur through QIP scheme of AICTE Government of IndiaG Ray received the BTech and M Tech degrees in electrical engineering and control systems from Jadvapur University Kolkata West Bengal India and Indian Institute of Technology Kharagpur West Bengal India in 1974 and 1977 respectively He received the PhD degree in control engineering from Indian Institute of Technology Delhi India in 1982 From 1982–1984 he was working with National Institute of Technology Jamshedpur India He joined as a faculty in the Department of Electrical Engineering Indian Institute of Technology Kharagpur in 1984 where he is a full professor now

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