학술논문
An improved reachable set estimation for time-delay linear systems with peak-bounded inputs and polytopic uncertainties via augmented zero equality approach.
Document Type
Journal
Author
Lee, Yonggwon (KR-CHBK-SEE) AMS Author Profile; Kim, Yeongjae (KR-CHBK-SEE) AMS Author Profile; Lee, Seunghoon (KR-CHBK-SEE) AMS Author Profile; Park, Junmin (KR-CHGN-EL) AMS Author Profile; Kwon, Ohmin (KR-CHBK-SEE) AMS Author Profile
Source
Subject
34 Ordinary differential equations -- 34K Functional-differential and differential-difference equations
34K06Linear functional-differential equations
34K06
Language
English
Abstract
Summary: ``This paper proposes an improved estimation of the reachable set (RS) analysis in linear systems with polytopic uncertainties, peak-bounded inputs and time-varying delay. Inspired by past literature, Lyapunov-Krasovskii's functionals are dealt for treating the time-delay and bounding analysis effectively. So, the proposed method focuses on Lyapunov-Krasovskii's functionals via various time-delay conditions for linear systems. Based on the Lyapunov method, some integral inequalities, useful zero equalities, and the augmented zero equality approach are introduced. The results are expressed in terms of linear matrix inequalities, which are easy to get optimized solutions for obtaining guaranteed minimum RS of system dynamics. Finally, two numerical examples are shown to judge that the proposed estimation method can lead to less conservative results.''