Fuzzy Time-Delay System

Almost all the physical systems and processes in the real world are nonlinear [1] in nature, so over the years a considerable attention has been paid to the investigation of the dynamic behaviour of nonlinear systems. Development of nonlinear control technique has serious demerits of difficult analytical framework, computational issues and specific design for specific nonlinearity. Thus in recent times fuzzy logic control of nonlinear system [2], particularly Takagi-Sugeno (T-S) fuzzy model [3] based control has attracted attention among the researchers. It has been proved that Takagi-Sugeno (T-S) fuzzy control technique can approximate the complex nonlinear systems. T-S fuzzy modelling technique can provide a suitable representation of nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear sub-models such that it takes advantage of the advances in linear system theories. Hence the resulting stability criteria can be recast in linear matrix inequality (LMI) framework [4] which can be solved efficiently by using existing software [5].

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