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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....
According to the characteristics of long time-delays, large inertia and time-variation in the dissolved oxygen control method of sewage treatment, one fuzzy-Smith control model on dissolved oxygen control is presented in this paper. This model has the merits of a high robustness in fuzzy controller and a compensation for time delay in Smith predictor. After simulation experiment, the result is shown...
Signal transmission in control structures is usually characterized by propagation processes, i.e. existence of time delays. For the interpolative-type control structures the problem is often disregarded, especially in the design step. Undoubtedly, the effect consists in worse real performances that those designed. In this context, the present paper proposes and presents a solution able to compensate,...
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.
The guaranteed cost control problem for fuzzy systems with time-delay is investigated. The main contribution in this paper is two adjustable parameters are introduced in the controller, which are helpful to reduce the guaranteed cost and improve the dynamic performance of the closed-loop systems. The effectiveness of the proposed method is illustrated by an example.
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