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- Title
Mode-dependent robust and non-fragile finite-time H∞ control for nonlinear singular Markovian jump systems.
- Authors
Niu, Hongping; Li, Lin; Wang, Pengnan
- Abstract
This paper is concerned with the problem of mode-dependent robust and non-fragile finite-time H ∞ control for a class of nonlinear singular Markovian jump systems (NSMJSs) with parameter uncertainties and time-varying norm-bounded disturbance. Some sufficient conditions ensuring the singular stochastic H ∞ finite-time boundedness (SS H ∞ FTB) are developed for the given system by using the stochastic analysis and linear matrix inequality techniques. Then, a finite-time H ∞ state feedback controller is designed, which can guarantee the H ∞ finite-time boundedness of the closed-loop systems. Furthermore, a robust and non-fragile finite-time H ∞ state feedback controller is also provided to ensure the H ∞ finite-time boundedness of the closed-loop systems when the controller gain has an additive perturbation. Finally, two numerical examples are given to illustrate the effectiveness of the obtained results.
- Subjects
MARKOVIAN jump linear systems; CLOSED loop systems; MATRIX inequalities; LINEAR matrix inequalities; ROBUST control; STOCHASTIC analysis; STOCHASTIC systems
- Publication
Transactions of the Institute of Measurement & Control, 2022, Vol 44, Issue 2, p368
- ISSN
0142-3312
- Publication type
Article
- DOI
10.1177/01423312211035047