Intelligent Control and Automation

Volume 2, Issue 3 (August 2011)

ISSN Print: 2153-0653   ISSN Online: 2153-0661

Google-based Impact Factor: 0.70  Citations  

H∞ Finite-Time Control for Switched Linear Systems with Time-Varying Delay

HTML  Download Download as PDF (Size: 359KB)  PP. 203-213  
DOI: 10.4236/ica.2011.23025    6,344 Downloads   10,693 Views  Citations
Author(s)

Affiliation(s)

.

ABSTRACT

Finite-time boundedness and H∞ finite-time boundedness of switched linear systems with time-varying delay and exogenous disturbances are addressed. Based on average dwell time (ADT) and free-weight matrix technologies, sufficient conditions which can ensure finite-time boundedness and H∞ finite-time boundedness are given. And then in virtue of the results on finite-time boundedness, the state memory feedback controller is designed to H∞ finite-time stabilize a time-delay switched system. These conditions are given in terms of LMIs and are delay-dependent. An example is given to illustrate the efficiency of the proposed method.

Share and Cite:

H. Liu and Y. Shen, "H∞ Finite-Time Control for Switched Linear Systems with Time-Varying Delay," Intelligent Control and Automation, Vol. 2 No. 3, 2011, pp. 203-213. doi: 10.4236/ica.2011.23025.

Cited by

[1] Why Finite-Time Stability is So Special: Operator Norm and Multivariate Eigenvalue Problem Behind the Curtain
2020
[2] Finite-time stabilization for a class of uncertain continuous time systems with time-varying delay
2020
[3] Guaranteed cost finite-time control for positive switched linear systems with time-varying delays
2017
[4] LMI‐based criteria for robust finite‐time stabilisation of switched systems with interval time‐varying delay
IET Control Theory & …, 2017
[5] Finite-time control for fuzzy systems with time-varying delay under asynchronous switching
rn, 2017
[6] Finite‐time control for LPV systems with parameter‐varying time delays and exogenous disturbances
International Journal of Robust and Nonlinear Control, 2017
[7] LMI-based criteria for robust finite-time stabilisation of switched systems with interval time-varying delay
IET Control Theory & Applications, 2017
[8] Guaranteed cost finite-time control for positive switched delay systems with ADT
International Journal of Advanced Research in Computer Engineering and Technology, 2017
[9] Robust finite-time H∞ control for switched systems by using sojourn-probability-dependent method
IET Signal Processing, 2016
[10] Robust finite-timeH∞control for switched systems by using sojourn-probability-dependent method
2016
[11] Robust finite‐time H∞ control for switched systems by using sojourn‐probability‐dependent method
IET Signal Processing, 2016
[12] Finite‐time H ∞  control for discrete‐time switched nonlinear systems with time delay
International Journal of Robust and Nonlinear Control, 2015
[13] Asynchronously finite-time control of discrete impulsive switched positive time-delay systems
Journal of the Franklin Institute, 2015
[14] Adaptive Control for a Class of Switched Linear Systems Using State-Dependent Switching
Circuits, Systems, and Signal Processing, 2015
[15] Finite-Time Stabilization of Switching Markov Jump Systems with Uncertain Transition Rates
Circuits, Systems, and Signal Processing, 2015
[16] Finite-time H∞ control with average dwell-time constraint for time-delay Markov jump systems governed by deterministic switches
2014
[17] Parameter-dependent finite-time observer design for time-varying polytopic uncertain switched systems
Journal of the Franklin Institute, 2014
[18] An Improved Finite-Time Stability and Stabilization of Linear System with Constant Delay
Mathematical Problems in Engineering, 2014
[19] Finite-time H spl infin control with average dwell-time constraint for time-delay Markov jump systems governed by deterministic switches
Control Theory & Applications, IET, 2014
[20] Finite-Time Stability and Control
2014
[21] Finite-Time Control for Time-Delayed Stochastic Systems with Markovian Switching
Abstract and Applied Analysis, 2014
[22] Finite-time stabilization for Markov jump systems governed by deterministic switches
World Congress, 2014
[23] Robustness Issues for IDLSs
Finite-Time Stability and Control. Springer London, 2014
[24] Finite-time Hс control for time-delayed stochastic systems with Markovian switching
W Gao, F Deng, R Zhang, W Liu - downloads.hindawi.com, 2014
[25] Finite-time H∞ control for switched systems with time-varying delay using delta operator approach
International Journal of Control, Automation and Systems, 2014
[26] Finite-time H ∞ control for switched systems with time-varying delay using delta operator approach
International Journal of Control, Automation and Systems, 2014
[27] Finite-time Hspl infincontrol with average dwell-time constraint for time-delay Markov jump systems governed by deterministic switches
2014
[28] Finite-time Hspl infin control with average dwell-time constraint for time-delay Markov jump systems governed by deterministic switches
2014
[29] Finite‐time H∞ control with average dwell‐time constraint for time‐delay Markov jump systems governed by deterministic switches
IET Control Theory & Applications, 2014
[30] Finite-time L1 control for positive switched linear systems with time-varying delay
Communications in Nonlinear Science and Numerical Simulation, 2013
[31] Robust finite-time filtering for uncertain systems subject to missing measurements
Journal of Inequalities and Applications, 2013
[32] Finite Time and Practical Stability of Linear Continuous Time Delay Systems-Classical and Modern Approach: An Overview
Scientific Technical Review, 2013
[33] Finite-Time Stability of Switching Observer for Discrete-Time Switched Linear Systems with Average Dwell Time
International Journal of Advancements in Computing Technology, 2013
[34] Finite-time boundedness and l 1-gain analysis for discrete positive switched systems with time-varying delay
Control Conference (CCC), 2013 32nd Chinese. IEEE, 2013
[35] Finite‐time H∞ control for discrete‐time switched nonlinear systems with time dealy
International Journal of Robust and Nonlinear Control, 2013
[36] Finite-time control of sampled-data systems
Control and Decision Conference (CCDC), 2013 25th Chinese. IEEE, 2013
[37] Finite-time stabilization for a class of switched time-delay systems under asynchronous switching
Applied Mathematics and Computation, 2013
[38] Finite-time L 1 control for positive switched linear systems with time-varying delay
Communications in Nonlinear Science and Numerical Simulation, 2013
[39] Finite time H∞ filtering for uncertain discrete-time switching systems
Transactions of the Institute of Measurement and Control, 2013
[40] Robust finite-time H∞ filtering for uncertain systems subject to missing measurements
Journal of Inequalities and Applications, 2013
[41] Dinamička analiza posebnih klasa linearnih singularnih sistema sa kašnjenjem na konačnom i beskonačnom vremenskom intervalu
2012
[42] Robust Finite-Time ℋ∞ Control for Uncertain Systems Subject to Intermittent Measurements
Discrete Dynamics in Nature and Society, 2012
[43] DYNAMICAL ANALYSIS OF PARTICULAR CLASSES OF LINEAR TIME–DELAY SINGULAR CONTROL SYSTEMS DEFINED OVER FINITE AND INFINITE TIME INTERVAL
Doctoral Dissertation, 2012
[44] 切换时滞系统的有限时间稳定性研究
2012
[45] Finite-time stability and stabilization of linear time-delay systems
Facta universitatis-series: Automatic Control and Robotics, 2012
[46] Finite-time stability of discrete-time systems with time-varying delay
Chemical Industry and Chemical Engineering Quarterly/CICEQ, 2012

Journals Menu
Follow SCIRP
Contact us
+1 323-425-8868
customer@scirp.org
WhatsApp +86 18163351462(WhatsApp)
Click here to send a message to me 1655362766
Paper Publishing WeChat

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.