Abstract
A LMIs (linear matrix inequalities) based H ∞ robust fuzzy control approach to an ultra-high rise/high speed elevator in the presence of uncertainties is presented in this paper. The uncertain nonlinear systems are represented using Takage-Sugeno (T-S) fuzzy models. The proposed controllers, which are in the form of the so-called parallel distributed compensation (PDC), stabilize nonlinear systems and guarantee an induced L 2 norm bound constraint on disturbance attenuation for all admissible uncertainties. Finally, simulation results show the realization of the H ∞ robust fuzzy control.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Joo, Y.H., Chen, G., Shieh, L.S.: Hybrid State-space Fuzzy Model-based Controller with Dual-rate Sampling for Digital Control of Chaotic Systems. IEEE Trans. Fuzzy Syst. 7, 394–408 (1999)
Lee, H.J., Park, J.B., Chen, G.: Robust Fuzzy Control of Nonlinear Systems with Parametric Uncertainties. IEEE Trans. Fuzzy Syst. 9, 369–379 (2001)
Roberts, R.: Control of High Rise/High Speed Elevators. In: Proc. ACC 1998, pp. 3440–3444 (1998)
Tanaka, K., Sugeno, M.: Stability Analysis and Design of Fuzzy Control Systems. Fuzzy Sets and Systems 45, 135–156 (1992)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Qing, H., Guo, Q., Yu, D., Ding, X. (2005). H ∞ Robust Fuzzy Control of Ultra-High Rise / High Speed Elevators with Uncertainty. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_108
Download citation
DOI: https://doi.org/10.1007/11539506_108
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28312-6
Online ISBN: 978-3-540-31830-9
eBook Packages: Computer ScienceComputer Science (R0)