A PINN based control for stochastic nonlinear systems with input-deadzone

This paper investigates a novel controller for stochastic nonlinear system with input deadzone by leveraging Physics Informed Neural Network (PINN). The unknown system nonlinearities are approximated by using PINN through backstepping. A quartic Lyapnov function is utilised to construct virtual and actual controller, ensuring boundedness in probability of all closed loop signals. Deadzone nonlinearity is reformed into a linear input form to complete the backstepping process. Simulation result on a robotic manipulator system demonstrate excellent tracking performance and improved accuracy compared to existing method, confirming the effectiveness of proposed PINN based control strategy.

Authors

Institutions

Publication Details

Journal
International Journal of Control
Published
2026-08-25
DOI
https://doi.org/10.1080/00207179.2026.2717751
Primary Topic
Adaptive Control of Nonlinear Systems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A PINN based control for stochastic nonlinear systems with input-deadzone

Uday Pratap Singh, Mahiwal Singh
International Journal of Control
Adaptive Control of Nonlinear Systems
article

A PINN based control for stochastic nonlinear systems with input-deadzone

Uday Pratap Singh, Mahiwal Singh
article en

Abstract

This paper investigates a novel controller for stochastic nonlinear system with input deadzone by leveraging Physics Informed Neural Network (PINN). The unknown system nonlinearities are approximated by using PINN through backstepping. A quartic Lyapnov function is utilised to construct virtual and actual controller, ensuring boundedness in probability of all closed loop signals. Deadzone nonlinearity is reformed into a linear input form to complete the backstepping process. Simulation result on a robotic manipulator system demonstrate excellent tracking performance and improved accuracy compared to existing method, confirming the effectiveness of proposed PINN based control strategy.

International Journal of Control
Central University of Jammu (IN)
Openalex Percentile: Top 13%
Adaptive Control of Nonlinear Systems
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.