6533b7d5fe1ef96bd1263b73

RESEARCH PRODUCT

Robust Finite-Time Control of Switched Linear Systems and Application to a Class of Servomechanism Systems

Lixian ZhangHamid Reza KarimiShun WangAjay Jasra

subject

Class (set theory)Stability criterionLinear systemServomechanismStability (probability)Computer Science Applicationslaw.inventionExponential stabilityControl and Systems EngineeringlawControl theoryCircle criterionElectrical and Electronic EngineeringNumerical stabilityMathematics

description

This paper investigates finite-time (FT) stability and stabilization problems for a class of switched linear systems with polytopic uncertainties. Both stable and unstable subsystems are considered to coexist in the system, and a new concept of extended FT stability is proposed as the first attempt. A stability criterion is first established, where the admissible maximum switching number is obtained while ensuring extended FT stability of switched linear systems with time-varying delays under a given maximum ratio between the running time of unstable subsystems and the running time of stable subsystems. Sufficient conditions on the existence of desired memory state-feedback controllers are then developed. A numerical example and a class of servomechanism systems are given, respectively, to illustrate the effectiveness and validity of the developed techniques with time-varying delays and without time delay.

yearjournalcountryeditionlanguage
2015-10-01IEEE/ASME Transactions on Mechatronics
https://doi.org/10.1109/tmech.2014.2385796