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- Title
Non-smooth bifurcation control of non-smooth systems with a canonical form.
- Authors
Shihui, Fu; Ying, Du
- Abstract
In this paper, we investigated non-smooth bifurcation control of a piecewise-linear continuous system with a canonical form for the first time. We presented the conditions under which the system has only one stable or unstable equilibrium point. Furthermore, we eliminated some non-smooth bifurcations of the system, by designing two controllers, such as simultaneous feedback controller and switched feedback controller. Simultaneous feedback controller is linear, and switched feedback controller is piecewise-linear, which have all a simple structure and available control properties. Numerical simulations showed that these methods were effective.
- Subjects
FEEDBACK control systems; BIFURCATION theory; COMPUTER simulation; SWITCHING theory; LYAPUNOV functions
- Publication
Nonlinear Dynamics, 2015, Vol 81, Issue 1/2, p773
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-015-2027-z