Quantized feedback control design of nonlinear large-scale systems via decentralized adaptive integral sliding mode control
type: Item
instance of: scholarly article
title: Quantized feedback control design of nonlinear large-scale systems via decentralized adaptive integral sliding mode control
zbMATH Open document ID: 1394.93059
DOI: 10.1155/2015/718924
author: Bo-Chao Zheng
author: Dan Ye
author: Yan-Mei Xue
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A novel decentralized adaptive integral sliding mode control law is proposed for a class of nonlinear uncertain large-scale systems subject to quantization mismatch between quantizer sensitivity parameters. Firstly, by applying linear matrix inequality techniques, integral-type sliding surface functions are derived for ensuring the stability of the whole sliding mode dynamics and obtaining the prescribed bounded \(\mathcal{L}_2\) gain performance. Secondly, the decentralized adaptive sliding mode control law is developed to ensure the reachability of the sliding manifolds in the presence of quantization mismatch, interconnected model uncertainties, and external disturbances. Finally, an example is shown to verify the validity of theoretical results.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 6927074
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/718924
OpenAlex ID: W1830030662
Wikidata QID: Q59119026
cites work: Quantized feedback stabilization of linear systems
cites work: Hybrid feedback stabilization of systems with quantized signals
cites work: Distributed Coordination of Multi-Agent Systems With Quantized-Observer Based Encoding-Decoding
cites work: RobustH∞networked control for discrete-time fuzzy systems with state quantisation
cites work: H∞filter design for continuous-time systems with quantised signals
cites work: Robust quantized feedback stabilization of linear systems
cites work: Sliding mode control of quantized systems against bounded disturbances
cites work: \({\mathcal H}_2\) control of continuous-time uncertain linear systems with input quantization and matched disturbances
cites work: Networked predictive control of constrained linear systems with input quantisation
cites work: Adaptive Backstepping Stabilization of Nonlinear Uncertain Systems With Quantized Input Signal
cites work: The sector bound approach to quantized feedback control
cites work: Robustness of quantized control systems with mismatch between coder/decoder initializations
cites work: Robustness of nonlinear control systems with quantized feedback
cites work: Decentralized output feedback robust stabilization for a class of nonlinear interconnected systems with similarity
cites work: Decentralised robust sliding mode control for a class of nonlinear interconnected systems by static output feedback
cites work: Robust decentralized adaptive control for uncertain large-scale delayed systems with input nonlinearities
cites work: Decentralized sliding mode quantized feedback control for a class of uncertain large-scale systems with dead-zone input
cites work: Sliding mode control with bounded \(\mathcal L_2\) gain performance of Markovian jump singular time-delay systems
cites work: A stabilization algorithm for a class of uncertain linear systems
cites work: Integral sliding-mode control for linear time-invariant implicit systems
cites work: Robust integral sliding mode control for uncertain stochastic systems with time-varying delay
cites work: Sliding modes in control and optimization. Transl. from the Russian
cites work: Robust and adaptive variable structure output feedback control of uncertain systems with input nonlinearity
cites work: Asymptotic controllability implies feedback stabilization
cites work: Control Lyapunov functions for adaptive nonlinear stabilization
cites work: A Lyapunov characterization of robust stabilization
description: scientific article; zbMATH DE number 6927074