Stability of impulsive switched systems with sampled‐data control | Zendy

Lian Jie | Zendy; Li Chunyang | Zendy; Zhai Guisheng | Zendy

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Stability of impulsive switched systems with sampled‐data control

Author(s) -

Lian Jie,

Li Chunyang,

Zhai Guisheng

Publication year - 2021

Publication title -

iet control theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.059

H-Index - 108

eISSN - 1751-8652

pISSN - 1751-8644

DOI - 10.1049/cth2.12058

Subject(s) - control theory (sociology) , sampled data systems , stability (learning theory) , computer science , control (management) , control system , control engineering , engineering , artificial intelligence , machine learning , electrical engineering

This paper investigates the sampled‐data control of impulsive switched systems with asynchronous switching. The impulses are not required to synchronise the switching. Since it is possible that switches may occur in sampling intervals, the mismatched problem may happen between controllers and system modes. Aiming for this, a functional consisting of multiple impulse‐dependent Lyapunov functions and looped functionals is constructed, which does not increase at impulsive times. By using ADT method, some sufficient conditions for exponential stability are proposed in terms of linear matrix inequalities. Furthermore, sampled‐data controllers are presented to stabilise the impulsive switched systems. The efficiency of the proposed results is verified by an F‐18 aircraft.

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