Top

Published in:

2020 | OriginalPaper | Chapter

Observer Based Control for Systems with Mismatched Uncertainties in Output Matrix

Authors : Van Van Huynh, Tran Thanh Phong, Bach Hoang Dinh

Published in: AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

This paper presents a new analysis method to design an observer- based control for a class of mismatched uncertain time-delay system with mismatched uncertainties in the output matrix. One of the contributions is to estimate the current true value of the system state variables, avoiding the effect of the delayed and noised measurement output. Linear matrix inequality (LMI) approach is used to design the observer-based control. The control and observer gains matrices are characterized using the solution of the LMI existence condition.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

inform now

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!

inform now

previous chapter Stabilization of Time-Varying Systems Subject to Actuator Saturation: A Takagi-Sugeno Approach

next chapter Nonlinear Disturbance Observer with Recurrent Neural Network Compensator

Lien, C.H.: Robust observer-based control of systems with state perturbations via LMI approach. IEEE Trans. Autom. Control 49(8), 1365–1370 (2004)MathSciNetCrossRef

Lien, C.H.: An efficient method to design robust observer-based control of uncertain linear systems. Appl. Math. Comput. 158, 29–44 (2004)MathSciNetMATH

Chen, W.H.: Disturbance observer based control for nonlinear systems. IEEE/ASME Trans. Mechatron. 9(4), 706–710 (2004)CrossRef

Song, B., Hedrick, J.K.: Observer-based dynamic surface control for a class of nonlinear systems: an LMI approach. IEEE Trans. Autom. Control 49(11), 1995–2001 (2004)MathSciNetCrossRef

Yan, X.G., Sarah, K.S., Edwards, C.: Dynamic sliding mode control for a class of systems with mismatched uncertaint. Eur. J. Control 11, 1–20 (2005)MathSciNetCrossRef

Choi, H.H., Ro, K.S.: LMI-based sliding-mode observer design method. In: IEE Proceedings on Control Theory and Applications, vol. 152, no. 1 (2005)

Yao, Y.X., Radun, A.V.: Proportional integral observer design for linear systems with time delay. IET Control Theor. Appl. 1(4), 887–892 (2007)MathSciNetCrossRef

Gassara, H., Hajjaji, A.E., Chaabane, M.: Observer-based robust H∞ reliable control for uncertain t–s fuzzy systems with state time delay. IEEE Trans. Fuzzy Syst. 18(6), 1027–1040 (2010)CrossRef

Wu, H.: A class of adaptive robust state observers with simpler structure for uncertain non-linear systems with time-varying delays. IET Control Theor. Appl. 7(2), 218–227 (2013)MathSciNetCrossRef

10.

Ghanes, M., Leon, J.D., Barbot, J.-P.: Observer design for nonlinear systems under unknown time-varying delays. IEEE Trans. Autom. Control 58(6), 1529–1534 (2012)MathSciNetCrossRef

11.

Wang, S., Jiang, Y.: On LMI conditions to design observer-based controllers for linear systems with parameter uncertainties. Automatica 49(12), 3700–3704 (2013)MathSciNetCrossRef

12.

Wang, H.P., Tian, Y., Vasseur, V.: Piecewise continuous hybrid systems based observer design for linear systems with variable sampling periods and delay output. Signal Process. 114, 75–84 (2015)CrossRef

13.

Zheng, G., Bejarano, F.J., Peruquetti, W.: Unknown input observer for linear time-delay systems. Automatica 61, 35–43 (2015)MathSciNetCrossRef

14.

Xia, Y., Jia, Y.: Robust sliding-mode control for uncertain time-delay systems: an LMI approach. IEEE Trans. Autom. Control 48(6), 1086–1092 (2003)MathSciNetCrossRef

15.

Yan, X.G., Spurgeon, S.K., Edwards, C.: Static output feedback sliding mode control for time-varying delay systems with time-delayed nonlinear disturbances. Int. J. Robust Nonlinear Control 20(7), 777–788 (2010)MathSciNetCrossRef

16.

Zhang, L., Ning, Z., Zheng, W.X.: Observer-based control for piecewise-affine systems with both input and output quantization. IEEE Trans. Autom. Control 62(11), 5858–5865 (2017)MathSciNetCrossRef

Title: Observer Based Control for Systems with Mismatched Uncertainties in Output Matrix
Authors: Van Van Huynh
Tran Thanh Phong
Bach Hoang Dinh
Publisher: Springer International Publishing
Book: AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application
Print ISBN: 978-3-030-14906-2

Electronic ISBN: 978-3-030-14907-9

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-14907-9_55