Abstract
In this paper, chaos control is proposed for the output- constrained system with uncertain control gain and time delay and is applied to the brushless DC motor. Using the dynamic surface technology, the controller overcomes the repetitive differentiation of backstepping and boundedness hypothesis of pre-determined control gain by incorporating radial basis function neural network and adaptive technology. The tangent barrier Lyapunov function is employed for time-delay chaotic system to prevent constraint violation. It is proved that the proposed control approach can guarantee asymptotically stable in the sense of uniformly ultimate boundedness without constraint violation. Finally, the effectiveness of the proposed approach is demonstrated on the brushless DC motor example.
Highlights
Chaos phenomenon has been extensively studied in many fields such as engineering, medicine, ecology, biology, economy, etc
Chaos control is proposed for the output- constrained system with uncertain control gain and time delay and is applied to the brushless DC motor
Using the dynamic surface technology, the controller overcomes the repetitive differentiation of backstepping and boundedness hypothesis of pre-determined control gain by incorporating radial basis function neural network and adaptive technology
Summary
Chaos phenomenon has been extensively studied in many fields such as engineering, medicine, ecology, biology, economy, etc. Some chaotic behaviors lead to the intermittent limit cycle oscillation, irregular current noise of the system and unstable control performance in engineering. It intensively influences the stability and safety of the system in lack of effective measures. By incorporating DSC into a neural network-based adaptive control framework, Wang et al proposed a control method for a class of nonlinear systems in strict-feedback form with arbitrary uncertainty.[14] uncertain time delays or outputs constraints are not involved in the model and the control gain is equal to one. The output-constrained nonlinear system is known to exhibit chaotic behavior under certain conditions Whether the latter methods can suppress the chaos oscillation needs for further research. The brushless DC motor shows that control scheme has good control performance
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