Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1113.93308
Gao, Huijun; Wang, Zidong; Wang, Changhong
Improved $\Cal H_{\infty}$ control of discrete-time fuzzy systems: a cone complementarity linearization approach. (English)
[J] Inf. Sci. 175, No. 1-2, 57-77 (2005). ISSN 0020-0255

Summary: New results are presented for $\Cal H_{\infty}$ analysis and synthesis problems of discrete-time Takagi-Sugeno (TS) fuzzy systems. By defining a multiple Lyapunov function, a new sufficient condition guaranteeing the $\Cal H_{\infty}$ performance of the TS fuzzy systems is first derived, which is expressed by a set of linear matrix inequalities (LMIs). Both theoretical analysis and numerical examples show that such a new condition is less conservative than previous results obtained within the quadratic framework. Based on this new condition for $\Cal H_{\infty}$ performance, the corresponding $\Cal H_{\infty}$ controller design problem is then investigated. Different from thetraditional quadratic framework, the synthesis problem is solved by exploiting the cone complementarity linearization (CCL) method, together with a sequential minimization problem subject to LMI constraints obtained for the existence of admissible controllers, which can be readily solved by using standard numerical software.

MSC 2000:: *93B36 $H^\infty$-control
93C42 Fuzzy control

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]