\(H_\infty\) robust tracking control of stochastic T-S fuzzy systems with Poisson jumps
type: Item
instance of: scholarly article
title: \(H_\infty\) robust tracking control of stochastic T-S fuzzy systems with Poisson jumps
zbMATH Open document ID: 1427.93224
DOI: 10.1155/2018/5257972
author: Xiangyun Lin
author: Weihai Zhang
author: Bor-Sen Chen
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A robust adaptive \(H_{\infty}\) tracking control design for nonlinear stochastic systems with both Brownian motion and Poisson jumps is proposed, which is based on Takagi-Sugeno (T-S) type fuzzy techniques. Because the state of to-be-controlled systems cannot be known exactly, to overcome this difficulty, the state estimation systems and error estimation systems are introduced to obtain an augmented system. By using the fuzzy systems to approximate the nonlinear systems, an adaptive fuzzy control is employed to achieve the desired \(H_{\infty}\) tracking performance for stochastic systems with exogenous disturbance. A simulation example is presented to illustrate the tracking performance of the proposed design method.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C42
zbMATH DE Number: 7019104
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5257972
OpenAlex ID: W2894980217
cites work: Global adaptive output-feedback control of nonlinear systems. I. Linear parameterization
cites work: Adaptive output feedback control of nonlinear systems represented by input-output models
cites work: Infinite horizon linear quadratic optimal control for stochastic difference time-delay systems
cites work: State and output feedback finite-time guaranteed cost control of linear Itô stochastic systems
cites work: Tracking Control for Nonlinear Networked Control Systems
cites work: Tracking control of mobile robots: A case study in backstepping
cites work: Robust tracking control for nonlinear MIMO systems via fuzzy approaches
cites work: Generalized fractional supertrace identity for Hamiltonian structure of NLS-MKdV hierarchy with self-consistent sources
cites work: HAMILTONIAN SYSTEMS WITH POSITIVE TOPOLOGICAL ENTROPY AND CONJUGATE POINTS
cites work: Adaptive tracking control for a class of uncertain nonlinear systems with infinite number of actuator failures using neural networks
cites work: The Output Feedback <scp>H</scp>∞ Control Design for the Linear Stochastic System Driven by Both Brownian Motion and <scp>P</scp>oisson Jumps: A Nonlinear Matrix Inequality Approach
cites work: Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
cites work: Lyapunov-type conditions and stochastic differential equations driven by \(G\)-Brownian motion
cites work: On observability and detectability of continuous-time stochastic Markov jump systems
cites work: Stochastic linear quadratic optimal control with constraint for discrete-time systems
cites work: Finite-time stability and stabilization of Itô-type stochastic singular systems
cites work: State Feedback $H_\infty$ Control for a Class of Nonlinear Stochastic Systems
cites work: Robust H/sub ∞/ control of uncertain Markovian jump systems with time-delay
cites work: Robust Scheduling Filter Design for a Class of Nonlinear Stochastic Poisson Signal Systems
cites work: \(H_\infty\) control for stochastic systems with Poisson jumps
cites work: Stability and output feedback control for singular Markovian jump delayed systems
cites work: Further results on dissipativity and stability analysis of Markov jump generalized neural networks with time-varying interval delays
cites work: Stochastic $H^\infty$
cites work: Q5424096
cites work: Q2774021
cites work: Robust adaptive optimal tracking design for uncertain missile systems: A fuzzy approach
Recommended article: Robust H∞ fuzzy observer‐based tracking control design for a class of nonlinear stochastic Markovian jump systems
Recommended article: \(H_\infty\) control for stochastic systems with Poisson jumps
Recommended article: Q3501419
Recommended article: Robust control design for nonlinear stochastic partial differential systems with Poisson noise: fuzzy implementation
Recommended article: Q5260109
Recommended article: Robust \(H_{\infty}\) fuzzy control for nonlinear discrete-time stochastic systems with Markovian jump and parametric uncertainties
Recommended article: Robust \(H_{\infty }\) control for nonlinear uncertain stochastic T-S fuzzy systems with time delays
Recommended article: Robust finite-time fuzzy \(H_\infty\) control for uncertain time-delay systems with stochastic jumps
Recommended article: Robust \(H_\infty\)-tracking control design for T-S fuzzy systems with partly immeasurable premise variables
Recommended article: Robust \(H_\infty\) control for T-S fuzzy systems with probabilistic interval time varying delay
description: scientific article; zbMATH DE number 7019104