TY - JOUR
T1 - Mode-identifying time estimation and switching-delay tolerant control for switched systems
T2 - An elementary time unit approach
AU - Zhang, Lixian
AU - Xiang, Weiming
N1 - Funding Information:
The work was partially supported by National Natural Science Foundation of China ( 51477146 , 51177137 , 61134001 and 61322301 ), National Natural Science Foundation of Heilongjiang ( F201417 , JC2015015 ), the Fundamental Research Funds for the Central Universities, China HIT.BRETIII.201211 and HIT.BRETIV.201306 , and Air Force Research Laboratory under agreement number FA8750-15-1-0105 . The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Denis Arzelier under the direction of Editor Richard Middleton.
Publisher Copyright:
© 2015 Elsevier Ltd.
PY - 2016/2/1
Y1 - 2016/2/1
N2 - In this paper, an elementary time unit (ETU) method is proposed to study the problem of estimating the admissible delay in the identification of the active mode in the analysis and design of switched systems. The activation interval of a subsystem is considered to consist of a finite-time number of segments called ETUs, by which a novel class of time-scheduled Lyapunov function is used to estimate the admissible delay in mode identification for switched systems. Further, the ETU method is applied for switching-delay tolerant control problem, and a class of time-scheduled state feedback controllers are designed to achieve the exponentially stability. Several numerical examples are presented to validate the theoretic findings.
AB - In this paper, an elementary time unit (ETU) method is proposed to study the problem of estimating the admissible delay in the identification of the active mode in the analysis and design of switched systems. The activation interval of a subsystem is considered to consist of a finite-time number of segments called ETUs, by which a novel class of time-scheduled Lyapunov function is used to estimate the admissible delay in mode identification for switched systems. Further, the ETU method is applied for switching-delay tolerant control problem, and a class of time-scheduled state feedback controllers are designed to achieve the exponentially stability. Several numerical examples are presented to validate the theoretic findings.
KW - Elementary time unit
KW - Exponential stability
KW - Mode identification
KW - Switched system
KW - Switching-delay tolerant control
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U2 - 10.1016/j.automatica.2015.11.010
DO - 10.1016/j.automatica.2015.11.010
M3 - Article
AN - SCOPUS:84951827601
SN - 0005-1098
VL - 64
SP - 174
EP - 181
JO - Automatica
JF - Automatica
ER -