Search

This paper investigates the guaranteed cost control problem of uncertain non-linear systems with time-varying delays via the Takagi-Sugeno fuzzy model approach. Based on the Lyapunov-Krasovskii functional theory and the linear matrix inequality technique, a state feedback controller is proposed to stabilise the non-linear systems and minimise the guaranteed cost of the closed-loop systems. Both delay-dependent and delay-independent stability criteria are derived to guarantee the asymptotic stability of closed-loop systems. Furthermore, the supplementary requirement that the time-derivative of time-varying delays must be smaller than one is released for the proposed delay-dependent stability criterion. Two illustrative examples are provided to verify the validity of the results developed in this paper. [ABSTRACT FROM AUTHOR]

The design and simulation of an analogue integrated circuit for the observer-based synchronization of two chaotic systems and its application to chaotic communication are presented. The chaotic synchronization systems consist of a specially designed drive system and a response. The response system is then designed on the basis of the technique of linear matrix inequality-based state observer design, in which the observer gain is appropriately selected such that the state errors of the drive-response systems asymptotically converge to zero. The proposed observer-based synchronization scheme is then applied to chaotic communication applications, in which the chaotic modulation method is used while the chaotically masked signal and the information are fed back into the transmitter and the former is simultaneously transmitted to the receiver. In addition, the wellknown chaotic Rossler system is considered as an illustrative example, along with its circuit implementation which is also described. Results obtained from PSPICE circuit simulations are given to demonstrate the proposed scheme's effectiveness. [ABSTRACT FROM AUTHOR]