Non-Fragile Robust Controller Design for Nonlinear Stochastic System with Time-Delay

Abstract

The problem of non-fragile memoryless controller design for a class of uncertain nonlinear stochastic system with time-delay is considered. Based on Lyapunov candidate and the stochastic Lyapunov stability theory, the sufficient conditions making the closed-loop system robust stable are given and de-rived. All results are given by the form of linear matrix inequality (LMI) method. Numerical example is given to illustrate the effectiveness of the controller designed.

Exponential H∞ synchronization of non-fragile sampled-data controlled complex dynamical networks with random coupling and time varying delay

“…It is important to investigate such randomly coupling and time-varying delay CDNs under exponential H ∞ synchronization with nonfragile sampled-data controller, which is very critical and important in theory and practical applications . In the past few years, many researchers devoted quality time and resources to the study of nonfragile control and filter implementation design problems with some applications in control and communication field such as altitude control of satellites, missile control, chemical process control and macroeconomic system control (Li et al, 2017;Li, Deng, & Peng, 2012). The aim was to design controllers for some given systems such that, they become insensitive to some amount of errors and deviations with regards to their gains, environmental effects, modeling errors and uncertainties.…”