MATLAB Recipes

This section provides useful MATLAB code for various functions that are not provided by default in MATLAB. This code can be reused, but full attribution both to the author and this book must be made. 

Goal Given a data series yt return the corresponding periodogram on the region [0, 0.5], 

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The complete Routh array analysis allows us to find, for example, the number of poles on the imaginary axis. Since BIBO stability requires that all poles lie in the left-hand plane, we will not bother with these details (which are still in many control texts). Consider the fact that we can calculate easily the exact roots of a polynomial with MATLAB, we use the Routh criterion to the extent that it serves its purpose.1 That would be to derive inequality criteria for proper selection of controller gains of relatively simple systems. The technique loses its attractiveness when the algebra becomes too messy. Now the simplified Routh-Hurwitz recipe without proof follows. 

MATLAB is cumbersome for beginners. We need to facilitate the process of learning and later mastering such a powerful tool in a very short time without making their life miserable. This textbook is a recipe or cookbook type, and every step needed toward the final solution is algorithmically explained via snapshots of the MATLAB platform in parallel with the text. 

There are many numerical software products available, both commerical and open-source. It is good practice to use the available algorithms for solving ODFs and PDFs rather than to develop new ones from scratch. In this section we Ust some of most popular algorithms in MATLAB, since it is used widely in both academia and industry. Another popular software product is GNU Octave (freeware). Besides these software products, there is a series of useful books on numerical analysis, Numerical Recipes. ... 

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