Analysis and solution of time varying and time invariant delayed system using PCOBF approach

This work deals with the idea of solving a practical time delayed system using piecewise constant orthogonal basis functions namely Block pulse function and Hybrid function. Both the time invariant and time varying delay is considered in the analysis. Previously Pade approximation served as the best tool for the analysis of a time delayed system but yet it suffers from a difficulty in choosing the correct order of the system to approximate a time delayed system. In contrast to this concept, piecewise constant orthogonal functions are imposed to solve the time delayed system with better accuracy. However the comparison of the proposed method is further illustrated with some examples for both time invariant and time varying delayed systems. The above method is extended to the systems having single This work deals with the idea of solving a practical time delayed system using piecewise constant orthogonal basis functions namely Block pulse function and Hybrid function. Both the time invariant and time varying delay is considered in the analysis. Previously Pade approximation served as the best tool for the analysis of a time delayed system but yet it suffers from a difficulty in choosing the correct order of the system to approximate a time delayed system. In contrast to this concept, piecewise constant orthogonal functions are imposed to solve the time delayed system with better accuracy. However the comparison of the proposed method is further illustrated with some examples for both time invariant and time varying delayed systems. The above method is extended to the systems having single delay and as well as multiple delays.