Abstract
This paper is devoted to robust master-slave controller design for generalized chaotic systems synchronization. The closed-loop system is asymptotically stable when the robust stability conditions hold and while the H-Infinity norm of the closed-loop transfer function with respect to defined output and input is strictly less than gamma>0. In this paper a modified L2 gain approach is used and an original design procedure is proposed to decrease the conservativeness of the former method. The effectiveness of the proposed method is shown in numerical examples.
Highlights
The chaotic synchronization gets much more attention due to the powerful applications in biological systems, chemical reactions, information processing, power converters, secure communications and others
On the basis of the above small observation the following problem is studied in this paper: Develop a new design procedure for the given dynamics of chaotic system (8) to design the robust H∞ controller based on the LMI, feedback linearization and bounded real lemma with less conservativeness than known methods from references using bilinear matrix inequalities (BMIs)
The contribution of this paper is to provide robust performance conditions by minimization of H∞ gain with respect to the calculated output and disturbance input for the feedback interconnection of a chaos slave system and designed controller which ensures the synchronization in master-slave systems
Summary
The chaotic synchronization gets much more attention due to the powerful applications in biological systems, chemical reactions, information processing, power converters, secure communications and others. The main idea of synchronization is to design the controller for a slave chaotic system, that the slave output can follow the master system output while the defined error is asymptotically stable, (Wang et al, 2012). On the basis of the above small observation the following problem is studied in this paper: Develop a new design procedure for the given dynamics of chaotic system (8) to design the robust H∞ controller based on the LMI, feedback linearization and bounded real lemma with less conservativeness than known methods from references using bilinear matrix inequalities (BMIs). The contribution of this paper is to provide robust performance conditions by minimization of H∞ gain with respect to the calculated output and disturbance input for the feedback interconnection of a chaos slave system and designed controller which ensures the synchronization in master-slave systems.
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