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- Title
Finite-time stabilisation for a class of nonlinear descriptor systems.
- Authors
Meiqing Li; Liying Sun
- Abstract
The finite-time stabilisation, finite-time H∞ control and finite-time adaptive H∞ control problems for a class of nonlinear descriptor systems are studied. First, under a sufficient condition for the system impulse controllable, a finite-time stabilised controller is designed by a suitable state feedback. Then, the finite-time H∞ control and finite-time adaptive H∞ control problems are considered for the nonlinear descriptor system with external disturbances and/or parametric perturbations, respectively. Compared with the existing results, there is no constraint for singular matrix E, therefore controllers can be designed for more nonlinear descriptor systems. Finally, an example of the nonlinear descriptor circuit system with simulations is applied to illustrate the effectiveness of the finite-time controllers obtained in this study.
- Subjects
DESCRIPTOR systems; LINEAR matrix inequalities; LYAPUNOV functions; TIME-varying systems; HAMILTONIAN systems
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2018, Vol 12, Issue 17, p2399
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2018.5483