Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Wireless Personal Communications
Erschienen in: Wireless Personal Communications 2/2018

09.02.2018

Stability Analysis of Switched Linear Systems with Uncertainty and Delays

verfasst von: Yiwei Feng, Yudan Cai

Erschienen in: Wireless Personal Communications | Ausgabe 2/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Combining the common quadratic Lyapunov functional approach and free-weighting matrix approach, this paper is devoted to the stability analysis of continuous-time switched linear systems (CTSLS) with uncertainty and time-delays. A particular class of matrix inequalities, the so-called Lyapunov–Metzler inequalities are introduced for the CTSLS to investigate the stability and performance in the presence of the uncertainty and delays. We provide sufficient conditions in terms of the Linear Matrix Inequality criterions to guarantee delay-dependent asymptotically stability under the uncertainty of the CTSLS. The combination of switching rule and switching output feedback controllers which will be designed to stabilize the CTSLS and satisfy a prespecified \({\mathcal{L}}_{2}\) gain performance. A example used jitterbug tools is provided to illustrate the effectiveness of the proposed method.
Vorheriger Artikel An Investigation of Failure Envelope for Skirted Foundations in Soft Clay Based on Computer-Aided Analyses
Nächster Artikel CEMulti-core Architecture for Optimization of Energy over Heterogeneous Environment with High Performance Smart Sensor Devices

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
1.
Liberzon, D. (2003). Switching in systems and control. Boston: Birkhäuser.CrossRef
2.
Deaecto, G. S., Geromel, J. C., Garcia, F. S., et al. (2010). Switched affine systems control design with application to DC–DC converters. Control Theory & Applications Iet, 4(7), 1201–1210.CrossRef
3.
Cristiano, R., Carvalho, T., Tonon, D. J., & Pagano, D. J. (2017). Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in R3: A case study in power electronics. Physica D Nonlinear Phenomena, 347, 12–20.MathSciNetCrossRef
4.
Baldi, S., Yuan, S., Endel, P., et al. (2016). Dual estimation: Constructing building energy models from data sampled at low rate. Applied Energy, 169, 81–92.CrossRef
5.
Baldi, S., Michailidis, I., Ntampasi, V., & et al. (2017). A simulation-based traffic signal control for congested urban traffic networks. Transportation Science.
6.
Aleksandrov, A., & Kosov, A. (2017). Stability analysis of hybird mechanical systems with switched nonlinear nonhomogeneous positional forces. In The conference in St. Petersburg, Russia (pp. 1–4).
7.
Mancilla-Aguilar, J. L., Haimovich, H., & García, R. A. (2017). Global stability results for switched systems based on weak Lyapunov functions. IEEE Transactions on Automatic Control, 62(6), 2764–2777.MathSciNetCrossRef
8.
Lu, J., She, Z., Ge, S. S., et al. (2018). Stability analysis of discrete-time switched systems via multi-step multiple Lyapunov-like functions nonlinear analysis hybrid systems, 27, 44–61.
9.
Long, L. (2017). Multiple Lyapunov functions-based small-gain theorems for switched interconnected nonlinear systems. IEEE Transactions on Automatic Control, 62(8), 3943–3958.MathSciNetCrossRef
10.
Zhai, D., Lu, A. Y., Dong, J., et al. (2017). Adaptive fuzzy tracking control for a class of switched uncertain nonlinear systems: An adaptive state-dependent switching law method. IEEE Transactions on Systems Man & Cybernetics Systems, 99, 1–10.CrossRef
11.
Ding, X., & Liu, X. (2017). Stability analysis for switched positive linear systems under state-dependent switching. International Journal of Control, Automation and Systems, 307, 1–8.
12.
Hespanha, J. P. & Morse, A. S. (1999). Stability of switched systems with average dwell-time. In Proceedings of the IEEE conference on decision and control, 2002 (Vol. 3, pp. 2655–2660).
13.
Regaieg, M. A., Kchaou, M., Gassara, H., & et al. (2017). Average dwell-time approach to H∞ control of time-varying delay switched systems. In International conference on sciences and techniques of automatic control and computer engineering (pp. 741–746).
14.
Yotha, N., Botmart, T., & Mouktonglang, T. (2012). Exponential stability for a class of switched nonlinear systems with mixed time-varying delays via an average dwell-time method. ISRN Mathematical Analysis, 2015, 2012.MathSciNetMATH
15.
Yuan, S., & Baldi, S. (2017). Stabilization of switched linear systems using quantized output feedback via dwell-time switching. In IEEE international conference on control & automation (pp. 236–241).
16.
Guo, R. W., & Wang, Y. Z. (2017). Region stability analysis for switched nonlinear systems with multiple equilibria. International Journal of Control, Automation and Systems, 15(2), 567–574.CrossRef
17.
Li, L., Liu, L., & Yin, Y. (2017). Stability analysis for discrete-time switched nonlinear system under MDADT switching. IEEE Access, 99, 1–1.
18.
Zhao, J., & Hill, D. J. (2008). On stability, L2-gain and H∞ control for switched system. Automatica, 44(5), 1220–1232.MathSciNetCrossRef
19.
Wang, D., Wang, W., & Shi, P. (2009). Robust fault detection for switched linear systems with state delays. IEEE Transactions on Systems Man & Cybernetics Part B Cybernetics A Publication of the IEEE Systems Man & Cybernetics Society, 39(3), 800–805.CrossRef
20.
Liu, J., Zhu, C., & Li, Z. (2017). Robust stabilization for constrained switched positive linear systems with uncertainties and delays. In Control and decision conference.
21.
Ohta, Y., Wada, T., & Siljak, D. D. (2001). Stability analysis of discontinuous nonlinear systems via piecewise linear Lyapunov functions. In American control conference, 2001. Proceedings of the. IEEE (Vol. 6, pp. 4852–4857).
22.
Thuan, M. V., Trinh, H., & Huong, D. C. (2017). Reachable sets bounding for switched systems with time-varying delay and bounded disturbances. International Journal of Systems Science, 48(3), 1–11.MathSciNetCrossRef
23.
Yu, Y., Cheng, X., Xu, H., et al. (2017). Improved results on exponential stability of discrete-time switched delay systems. Discrete and Continuous Dynamical Systems-Series B (DCDS-B), 22(1), 199–208.MathSciNetCrossRef
24.
Duan, C., & Wu, F. (2012). Switching control synthesis for discrete-time switched linear systems via modified Lyapunov–Metzler inequalities. In American control conference (pp. 3186–3191).
Metadaten
Titel
Stability Analysis of Switched Linear Systems with Uncertainty and Delays
verfasst von
Yiwei Feng
Yudan Cai
Publikationsdatum
09.02.2018
Verlag
Springer US
Erschienen in
Wireless Personal Communications / Ausgabe 2/2018
Print ISSN: 0929-6212
Elektronische ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-018-5490-2

Weitere Artikel der Ausgabe 2/2018

Wireless Personal Communications 2/2018 Zur Ausgabe

OriginalPaper

Microstrip Center-Fed Bi-plane Printed Dipole Antenna Design and the Excitation Gap Contribution for Impedance Control

OriginalPaper

Estimating the Performance of Free Space Optical Link Under Adverse Weather Conditions by Using Various Models

OriginalPaper

Detecting Streaming of Twitter Spam Using Hybrid Method

OriginalPaper

Network Control System (NCS) for Performance Improvement of Dual Converter Power Supply System Using Adaptive Inverse Dynamic Mode (AIDMC) Control Technique

OriginalPaper

Computer Aided Segmentation of Blockages in Coronary Heart Images Using Canfis Classifier

OriginalPaper

Secure Multi-hop Data Transmission in Cognitive Radio Networks Under Attack in the Physical Layer

Neuer Inhalt

    Bildnachweise