Abstract
In this paper, adaptive variable structure neural control is investigated for a class of nonlinear systems under the effects of time-varying state delays and uncertain hysteresis inputs. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design, and the effect of the uncertain hysteresis with the Prandtl-Ishlinskii (PI) model representation is also mitigated using the proposed control. By utilizing the integral-type Lyapunov function, the closed-loop control system is proved to be semiglobally uniformly ultimately bounded (SGUUB). Extensive simulation results demonstrate the effectiveness of the proposed approach.
Original language | English |
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Pages (from-to) | 1148-1164 |
Number of pages | 17 |
Journal | IEEE Transactions on Neural Networks |
Volume | 20 |
Issue number | 7 |
DOIs | |
State | Published - 2009 |
Keywords
- Neural networks (NNs)
- Prandtl-Ishlinskii (PI) hysteresis model
- Time-varying delays
- Variable structure control