Analysis on control of a class of uncertain stochastic system by inequality technique

Qinghua Lu,Longsuo Li

doi:10.1186/s13660-020-02400-1

Abstract

In this paper, some theoretical results of PID control of second order nonlinear uncertain stochastic system are given via inequalities. We extend the results of the corresponding deterministic systems to stochastic systems. Specifically, as long as we have a certain understanding of the upper bound of the derivative of the unknown nonlinear drift term and diffusion term, an analytic design method can be constructed for these three PID parameters to ensure the global stability and asymptotic stability of the closed-loop control systems. In addition, the numerical simulation results verify the theoretical analysis results.

Highlights

The rapid development of control technology has an impact on every field of the control discipline
In the past half century, people have carried out extensive research on modern control theory, classic proportional integral differential (PID) control is still the most widely used and successful controller design method in all engineering systems [1, 2]
With its extensive practical application, PID controllers have been widely studied in the academic fields, but most of them are for the linear deterministic system, less for the uncertain stochastic system [3,4,5,6]

Summary

Introduction

The rapid development of control technology has an impact on every field of the control discipline. With its extensive practical application, PID controllers have been widely studied in the academic fields, but most of them are for the linear deterministic system, less for the uncertain stochastic system [3,4,5,6]. (2020) 2020:132 tant theoretical and practical value to study the control of uncertain nonlinear systems.

Results

Conclusion