H∞ control of nonlinear discrete-time systems based on dynamical fuzzy models
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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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)
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)
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.
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