Talk · IEEE International Conference on Smart Information Systems and Technologies · May 15, 2024

Using Computer Modeling for Tracking high-order Nonlinear Systems with Time-Delay

Nurbolat Tasbolatuly, Keylan Alimhan, Aigerim Yerdenova, G. B. Bakhadirova, Aizhan Nazyrova, Mira Kaldarova

Read on dx.doi.orgDOI 10.1109/sist61555.2024.10629397

Abstract

This paper investigates the challenge of globally practically tracking a class of high-order nonlinear systems with time delay via feedback. The object of study is a nonlinear system, the main goal is to develop a control function that allows you to regulate the output data of the specified nonlinear system using a reference signal. The article publication is distinguished by its scientific novelty due to the study of a system in which the degree of the upper limit of nonlinearity is determined within a continuous interval. The system under examination exhibits a distinctive characteristic, wherein the extent of the upper boundary limitation of nonlinearity is defined within a continuous interval. We propose a customizable and delay-independent tracking controller designed to mitigate the impact of delay time non-linearity. This is achieved by generating a Lyapunov function using a generalized approach that involves incorporating a signum function and a power integrator. The resulting controller ensures the global boundedness of all states within the closed system, along with a sufficiently small control error over a finite time. Additionally, this work places emphasis on computer simulations to validate previously obtained results.

Stability and Control of Uncertain SystemsAdaptive Control of Nonlinear SystemsNeural Networks Stability and Synchronizationhigh-order nonlinear systemstime-delay systemsoutput tracking

Using Computer Modeling for Tracking high-order Nonlinear Systems with Time-Delay

Abstract

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