Computation of lucid factors for Bezout identity

One approach to control system design is based on the Youla parameterization, and the application of this design approach requires one to solve for system coprime factors and the solution to the Bezout identity. A new and simple computational approach to acquire sets of factors that satisfy Bezout identity is developed; the algorithm along with the associated software in the MATLAB environment are presented. Previous work, required the solution to two pole-placement problems along with implementation of the Leverrier algorithm for inversion of four alphanumeric matrices. The presented software is by far less computationally intensive, and it only requires solution to a set of simultaneous linear algebraic equations.

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