Zhang Neural Dynamics (ZND) Tracking Control of Multiple Integrator Systems with Noise Disturbances: Theoretical and Simulative Results

In this paper, Zhang neural dynamics (ZND) tracking control of multiple integrator (MI) systems with noise disturbance is considered and investigated. As an example, the design procedure of ZND controller for the tracking control of the triple integrator (TI) system is presented. The dynamics about tracking error and other ZND errors is then proposed. By extension, the ZND controller of the MI system and the corresponding error dynamics are generalized. Besides, the theoretical analysis results guarantee the stability and convergence (or bound-convergence) of the MI systems or the disturbed MI systems handled by the ZND controllers. The tracking errors and other ZND errors of MI systems or disturbed MI systems are bounded and convergent (or convergent to some bounds). Simulations are performed to further illustrate the stability and convergence. In addition, the results substantiate the effect of ZND parameters on the tracking error and other ZND errors.

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