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- Title
Boundary control design for a vibrating flexible string system with input nonlinearities.
- Authors
He, Xiuyu; Zhao, Zhijia
- Abstract
In this paper, the main concern lies in developing a vibration control scheme for globally stabilizing the string system under the influence of input nonlinearities and external disturbance. To that end, an antidisturbance boundary control is presented by merging Lyapunov approach and disturbance observer control theory. Besides, the auxiliary system and auxiliary function are introduced to compensate for the input nonlinearities effects. Using the rigorous analysis without simplifying or discretizing the infinite-dimensional dynamics, the designed control laws can be proven to ensure the uniformly bounded stability of the controlled system. In the end, simulation results are presented for control performance verification.
- Subjects
NONLINEAR theories; LYAPUNOV functions; DISCRETIZATION methods; NONLINEAR systems; CONTROL theory (Engineering)
- Publication
Nonlinear Dynamics, 2018, Vol 93, Issue 2, p323
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-018-4194-1