Identification of Time Delay Systems in State Space Domain: A Triangular Function Approach

This paper considers the identification method using orthogonal triangular function to determine the parameters of time invariant delay control systems. It works with simple matrix algebra and hence reduces the mathematical complexity. The ease of dealing the problems with triangular basis function is because of handling with the sample values of the states. Even, the operational matrices required for this approach are sparse in nature making the algorithm elegant. Three different examples of multi delay systems with delayed state and delayed input are treated and the results are compared with the exact data.