Discontinuous integro-differential equations and sliding mode control

TL;DR

This paper extends sliding mode control theory to nonlinear discontinuous integro-differential equations and infinite-dimensional systems, providing new control algorithms for distributed delay and heat systems.

Contribution

It introduces extensions of Filippov and equivalent control methods to complex integro-differential and infinite-dimensional systems, enabling new control design approaches.

Findings

Designed sliding mode control algorithms for distributed delay systems

Extended Filippov method to nonlinear integro-differential equations

Applied control strategies to heat system models

Abstract

The paper deals with analysis and design of sliding mode control systems modeled by finite-dimensional integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous integro-differential equations and to a class of control systems modeled by infinite-dimensional differential equations in Banach spaces. Sliding mode control algorithms are designed for distributed input delay systems and for a heat control system.