Dissipative control for singular time-delay system with actuator saturation via state feedback and output feedback

This paper is devoted to the problem of dissipative control for a class of singular time-delay systems with actuator saturation via state feedback and output feedback. First, by tuning the Wirtinger-based integral and the double integral inequality, a sufficient condition is derived to guarantee tha...

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Published inInternational journal of systems science Vol. 49; no. 3; pp. 639 - 652
Main Authors Fu, Lei, Ma, Yuechao
Format Journal Article
LanguageEnglish
Published London Taylor & Francis 17.02.2018
Taylor & Francis Ltd
Subjects
actuator saturation
Controllers
Dissipation
Dissipative control
Feedback control
Feedback control systems
Integrals
linear matrix inequalities (LMIs)
Mathematical analysis
Matrix methods
Output feedback
Saturation
singular time-delay systems
State feedback
Static electricity
Time delay systems
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Abstract This paper is devoted to the problem of dissipative control for a class of singular time-delay systems with actuator saturation via state feedback and output feedback. First, by tuning the Wirtinger-based integral and the double integral inequality, a sufficient condition is derived to guarantee that the singular time-delay system is regular, impulse free, asymptotically stable and strictly (Q,S,R)-dissipative. Then, based on the derived condition, and applying linear matrix inequality techniques, the dissipative state feedback and output feedback controller are synthesised. Moreover, the maximal estimate of the domain of attraction is proposed by an optimisation problem. Finally, some simulation examples are provided to verify the effectiveness of the obtained theoretic results.
AbstractList This paper is devoted to the problem of dissipative control for a class of singular time-delay systems with actuator saturation via state feedback and output feedback. First, by tuning the Wirtinger-based integral and the double integral inequality, a sufficient condition is derived to guarantee that the singular time-delay system is regular, impulse free, asymptotically stable and strictly (Q,S,R)-dissipative. Then, based on the derived condition, and applying linear matrix inequality techniques, the dissipative state feedback and output feedback controller are synthesised. Moreover, the maximal estimate of the domain of attraction is proposed by an optimisation problem. Finally, some simulation examples are provided to verify the effectiveness of the obtained theoretic results.
Author Ma, Yuechao
Fu, Lei
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  organization: College of Science, Yanshan University
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crossref_primary_10_1016_j_nahs_2019_100827
crossref_primary_10_1109_ACCESS_2019_2960397
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Snippet This paper is devoted to the problem of dissipative control for a class of singular time-delay systems with actuator saturation via state feedback and output...
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SubjectTerms actuator saturation
Controllers
Dissipation
Dissipative control
Feedback control
Feedback control systems
Integrals
linear matrix inequalities (LMIs)
Mathematical analysis
Matrix methods
Output feedback
Saturation
singular time-delay systems
State feedback
Static electricity
Time delay systems
Title Dissipative control for singular time-delay system with actuator saturation via state feedback and output feedback
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Volume 49
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