Adaptive nonlinear control without overparametrization
Systems & Control Letters
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SIAM Journal on Control and Optimization
Nonlinear and Adaptive Control Design
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Stable Adaptive Neural Network Control
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Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
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IEEE Transactions on Neural Networks
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IEEE Transactions on Neural Networks
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IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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Automatica (Journal of IFAC)
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Automatica (Journal of IFAC)
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Automatica (Journal of IFAC)
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Automatica (Journal of IFAC)
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IEEE Transactions on Neural Networks
Adaptive neural control of uncertain MIMO nonlinear systems
IEEE Transactions on Neural Networks
Adaptive neural control for a class of nonlinearly parametric time-delay systems
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Optimal tracking control for a class of nonlinear time-delay systems with actuator saturation
BICS'13 Proceedings of the 6th international conference on Advances in Brain Inspired Cognitive Systems
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This paper presents adaptive neural tracking control for a class of non-affine pure-feedback systems with multiple unknown state time-varying delays. To overcome the design difficulty from non-affine structure of pure-feedback system, mean value theorem is exploited to deduce affine appearance of state variables xi as virtual controls αi, and of the actual control u. The separation technique is introduced to decompose unknown functions of all time-varying delayed states into a series of continuous functions of each delayed state. The novel Lyapunov-Krasovskii functionals are employed to compensate for the unknown functions of current delayed state, which is effectively free from any restriction on unknown time-delay functions and overcomes the circular construction of controller caused by the neural approximation of a function of u and u. Novel continuous functions are introduced to overcome the design difficulty deduced from the use of one adaptive parameter. To achieve uniformly ultimate boundedness of all the signals in the closed-loop system and tracking performance, control gains are effectively modified as a dynamic form with a class of even function, which makes stability analysis be carried out at the present of multiple time-varying delays. Simulation studies are provided to demonstrate the effectiveness of the proposed scheme.