H∞ control of nonlinear discrete-time systems based on dynamical fuzzy models

S. G. Cao; N. W. Rees; G. Feng; W. Liu

doi:10.1080/002077200291343

Author(s)

S. G. Cao
N. W. Rees
G. Feng
W. Liu

Detail(s)

Original language	English
Pages (from-to)	229-241
Journal / Publication	International Journal of Systems Science
Volume	31
Issue number	2
Publication status	Published - Feb 2000
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1080/002077200291343 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0034143125&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(f65773ed-fbfa-4f0a-a80a-615f76f35ce8).html

Abstract

This paper presents a solution to H_∞ control problem for a class of discrete-time nonlinear systems. This class of nonlinear systems can be represented by a discrete-time dynamical fuzzy model. A suitable quadratic Lyapunov function is used to establish asymptotic stability with an l₂-norm bound γ of the closed-loop system. Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback control law. The controller design algorithm involves solving a set of suitable algebraic Riccati equations. An example is given to illustrate the application of the method.

Citation Format(s)

[ RIS ] [ BibTeX ]

H∞ control of nonlinear discrete-time systems based on dynamical fuzzy models. / Cao, S. G.; Rees, N. W.; Feng, G. et al.
In: International Journal of Systems Science, Vol. 31, No. 2, 02.2000, p. 229-241.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Cao, SG, Rees, NW, Feng, G & Liu, W 2000, 'H∞ control of nonlinear discrete-time systems based on dynamical fuzzy models', International Journal of Systems Science, vol. 31, no. 2, pp. 229-241. https://doi.org/10.1080/002077200291343

Cao, S. G., Rees, N. W., Feng, G., & Liu, W. (2000). H∞ control of nonlinear discrete-time systems based on dynamical fuzzy models. International Journal of Systems Science, 31(2), 229-241. https://doi.org/10.1080/002077200291343

Cao SG, Rees NW, Feng G, Liu W. H∞ control of nonlinear discrete-time systems based on dynamical fuzzy models. International Journal of Systems Science. 2000 Feb;31(2):229-241. doi: 10.1080/002077200291343

Cao, S. G. ; Rees, N. W. ; Feng, G. et al. / H∞ control of nonlinear discrete-time systems based on dynamical fuzzy models. In: International Journal of Systems Science. 2000 ; Vol. 31, No. 2. pp. 229-241.