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- Title
Adaptive sliding mode control of uncertain chaotic systems with input nonlinearity.
- Authors
Liu, Leipo; Pu, Jiexin; Song, Xiaona; Fu, Zhumu; Wang, Xiaohong
- Abstract
This paper is concerned with the stabilization problem of uncertain chaotic systems with input nonlinearity. The slope parameters of this nonlinearity are unmeasured. A new sliding function is designed, then an adaptive sliding mode controller is established such that the trajectory of the system converges to the sliding surface in a finite time and finite-time reachability is theoretically proved. Using a virtual state feedback control technique, sufficient condition for the asymptotic stability of sliding mode dynamics is derived via linear matrix inequality (LMI). Then the results can be extended to uncertain chaotic systems with disturbances and adaptive sliding mode H controllers are designed. Finally, a simulation example is presented to show the validity and advantage of the proposed method.
- Subjects
ARITHMETIC coding; CHAOS theory; ADAPTIVE control systems; NONLINEAR dynamical systems; FEEDBACK control system stability; ASYMPTOTIC theory in nonlinear differential equations
- Publication
Nonlinear Dynamics, 2014, Vol 76, Issue 4, p1857
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-013-1163-6