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In this paper, the Takagi-Sugeno (TS) fuzzy modelling and the fuzzy regulation theory are considered in order to design a fuzzy controller capable of taking the output of a fuzzy plant to the reference signal generated by an external system. It is well-known that TS fuzzy modelling allows the stabilizer to be obtained by means of numerical techniques. As a result, stability region defined by the fuzzy...
This paper provides a delay-dependent approach to the design of generalized H2 state-feedback fuzzy controllers for discrete-time T-S fuzzy systems with both state and input delays. The delays are assumed to be time varying and bounded in an interval. Firstly, a fuzzy-basis-dependent functional is proposed, which yields a delay-dependent condition ensuring the stability as well as the generalized...
To avoid the network congestion and let the end hosts share the link resources fairly, F. P. Kelly proposed classic Kelly model based on an optimal theory. This model can deduce algorithm which has proportional fairness equilibrium point and has asymptotically stability. However, the primal algorithm of Kelly model leads to the packet accumulation in the queue of the bottle link. By using heuristic...
This paper presents the stability analysis of polynomial fuzzy-model-based control systems, formed by a polynomial fuzzy model and a fuzzy controller connected in a closed loop, using sum-of-squares (SOS) approach. Based on the Lyapunov stability theory, the stability analysis is generalized by bringing the membership functions as polynomial variables to the stability analysis for relaxation of SOS-based...
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