Article · Bulletin of the National Engineering Academy of the Republic of Kazakhstan · September 15, 2023

Computer simulation of tracking in high-order nonlinear systems with time delay

Nurbolat Tasbolatuly, Keylan Alimhan, Aigerim Yerdenova, Sandugash Alisheva, G. B. Bakhadirova

Open via DOI PDFDOI 10.47533/2023.1606-146x.22

Abstract

In this paper, we study the problem of global practical tracking of a class of high-order nonlinear systems with feedback. A feature of the system under consideration is that the degree of limitation of the upper boundary of the nonlinearity is taken on a continuous interval. We develop a tunable and delayindependent tracking controller that dominates the effect of delay time non-linearity by generating a Lyapunov function, respectively, using a generalized method of adding a signum function and a power integrator. The resulting controller ensures global boundedness of all states of the studied closed system and a sufficiently small control error over a finite time. In addition, in this work, priority was given to computer simulation of previously achieved results.

Adaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsNeural Networks Stability and Synchronizationtracking controlhigh-order nonlinear systemstime delay

Computer simulation of tracking in high-order nonlinear systems with time delay

Abstract

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