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This paper aims to design a controller to robustly stabilize uncertain nonlinear systems with time-varying delay and norm bounded uncertainties via Takagi-Sugeno (T-S) fuzzy model. The stabilization conditions are given in the form of linear matrix inequalities using a single Lyapunov-Krasovskii functional (LKF) combining the introduction of some relaxation matrices and only one tuning parameter....
In this paper, the passivity analysis of neutral fuzzy systems with delays and bounded uncertainties is considered. Based on Lyapunov-Krasovskii functional, the LMI approach and the descriptor system approach, sufficient conditions for passivity are obtained. Finally, a simulation example is provided to demonstrate effectiveness and applicability of the theoretical results.
A design scheme of adaptive neural controller for a class of uncertain SISO nonlinear time-varying delay systems with unknown nonlinear dead-zones and unknown function control gain is proposed. The design is based on the principle of sliding mode control and property of Nussbaum-type functions. The approach relaxes the hypothesis that the upper bound of function control gain is unknown constant and...
Based on a method of LMI, a kind of Lyapunov-Krasovskii functional is used, and the controller design is discussed for the linear delta-operator control systems with state delay and input delay, in which the state delay parameter is uncertain. Using a new type of memory feedback controller, the delay-dependent sufficient conditions for the existence of the controller are brought forward in terms of...
In this paper, we provide a new delay-dependent stabilization scheme for a class of linear time-delay (LTD) systems based on proportional-integral-derivative (PID) Hinfin feedback. The time-delay is a differentiable time-varying function satisfying some bounding relations. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrized characterizations for proportional-integral-derivative...
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