Observer-Based H∞ Control of T-S Fuzzy Model

Li Qi; Hai Bin Shi

doi:10.4028/www.scientific.net/AMR.546-547.1008

Paper Titles

Design of a New GPS-Based Automatic Sun Tracking Control System
p.987

The Nonlinear PID Control for Beam Magnetic Suspension System of Gantry-Moving Type Numerically Controlled Machine Tool
p.992

Non-Fragile Passive Control for Nonlinear Singular Systems with Time-Delay and Uncertainties
p.997

Research of Hybrid Scheduling Based on Network Calculus in Coal Mine Ethernet
p.1003

Observer-Based H_∞ Control of T-S Fuzzy Model
p.1008

Research on the Space Manipulator Control in Capturing Object Based on Noncontact Impedance Control
p.1014

The Application of MEMS Gyroscope in Stable Platform of Infrared Guidance
p.1020

The Application of a New PCA Algorithm on Fault Recognition for Oilfield's Sensor Equipment
p.1024

Guaranteed Cost Control for a Class of Switched Descriptor Systems
p.1030

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 546-547Observer-Based H∞ Control of T-S Fuzzy Model

Observer-Based H_∞ Control of T-S Fuzzy Model

Abstract:

An observer-based H_∞ control condition is proposed for T-S fuzzy model. The observer and controller are capable of disturbance-rejection. The fuzzy version of bounded real lemma (BRL) is adopted. Output H_∞ controller and observer are designed by solving a set of bilinear matrix inequalities. The condition is shown to be less conservative than some existed results.

You might also be interested in these eBooks

Electrical Insulating Materials and Electrical Engineering

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 546-547)

Pages:

1008-1013

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.546-547.1008

Citation:

Cite this paper

Online since:

July 2012

Authors:

Li Qi, Hai Bin Shi

Keywords:

BMI, Fuzzy Strict BRL, H_∞ Control, Observer, T-S Fuzzy Model

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] G. J. Klir, B. Yuan, Fuzzy Sets and Fuzzy Logic Theory and Applications, Prentice-Hall, Englewood Cliffs, NJ, (1995).

Google Scholar

[2] K. Tanaka, H.O. Wang, Fuzzy Control Systems Design and Analysis. Wiley Inc, New York, (2001).

Google Scholar

[3] K. Tanaka, M. Sugeno, Stability analysis and design of fuzzy control systems, Fuzzy Sets and System, vol. 45, pp.135-156, (1992).

DOI: 10.1016/0165-0114(92)90113-i

Google Scholar

[4] G. Feng, A survey on analysis and design of model-based fuzzy control systems, IEEE Trans. Fuzzy systems, vol. 14, pp.676-697, (2006).

DOI: 10.1109/tfuzz.2006.883415

Google Scholar

[5] X. D. Liu, Q. L. Zhang, H∞-control for T-S fuzzy systems based on the LMI, Control and Decision, vol. 17, pp.923-927, (2002).

Google Scholar

[6] K. R. Lee, E. T. Jeung, and H. B. Park, Robust fuzzy H∞ control of uncertain nonlinear systems via state feedback: an LMI approach, Fuzzy Sets and Systems, Vol. 120, pp.123-134, (2001).

DOI: 10.1016/s0165-0114(99)00078-0

Google Scholar

[7] X. D. Liu, Q. L. Zhang, New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI , Automatica, Vol. 39, pp.1571-1582, (2003).

DOI: 10.1016/s0005-1098(03)00172-9

Google Scholar

[8] J. C. Lo, M. L. Lin, Observer-based robust H∞ control for fuzzy systems using two-step procedure, IEEE Trans. Fuzzy Systems, vol. 12, pp.350-359, (2004).

DOI: 10.1109/tfuzz.2004.825992

Google Scholar

[9] J. C. Lo, M. L. Lin, Robust H∞ nonlinear control via fuzzy static output feedback, IEEE Trans. Circuits and Systems, vol. 50, pp.1494-1502, (2003).

DOI: 10.1109/tcsi.2003.818623

Google Scholar

[10] S. W. Kau, H. J. Lee, C. M. Yang, Robust H∞ fuzzy static output feedback control of T-S fuzzy systems with parametric uncertainties, Fuzzy Sets and Systems, Vol. 158, pp.135-146, (2007).

DOI: 10.1016/j.fss.2006.09.010

Google Scholar

[11] H. D. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto, Parameterized linear matrix inequality techniques in fuzzy control system design, IEEE Trans. Fuzzy Syst., vol. 9, pp.324-332, (2001).

DOI: 10.1109/91.919253

Google Scholar

[12] C. H. Fang, Y. S. Liu, S. W. Hong, C. H. Lee, A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems, IEEE Trans. Fuzzy Systems, vol. 14, pp.386-397, (2006).

DOI: 10.1109/tfuzz.2006.876331

Google Scholar

[13] E. Kim, H. Lee, New Approaches to Relaxed Quadratic Stability condition of Fuzzy Control systems, IEEE Trans. Fuzzy Systems, vol. 8, pp.523-534, (2000).

DOI: 10.1109/91.873576

Google Scholar

[14] C. Lin, Q. G. Wang and T. H. Lee, Improvement on observer-based H∞ control for T-S fuzzy systems, Automatica, vol. 41, pp.1651-1656, (2005).

Google Scholar