A novel wavelet-based optimal linear quadratic tracker for time-varying systems with multiple delays

TL;DR

This paper introduces a wavelet-based approach to solve optimal tracking control problems for linear quadratic time-varying systems with multiple delays, transforming dynamic problems into static optimization for improved efficiency.

Contribution

The paper presents a novel Chebyshev wavelet-based method for handling complex delayed systems in optimal tracking control, offering an effective alternative to traditional techniques.

Findings

Simulation results confirm the method's effectiveness.

The approach successfully manages multiple delays in systems.

Static optimization simplifies complex dynamic control problems.

Abstract

A new method for solving optimal tracking control of linear quadratic time-varying systems with multiple time delays in state and input variables and with combined constraints is presented in this paper. By using the relations of Chebyshev wavelets, we simulate the optimal tracking problem to a static optimization one. This alternative method is applied on different optimal tracking systems and simulation results demonstrate the effectiveness of the proposed method.