The new Polynomial Control Systems (PCS) from Wolfram Research expands the functionality of Control System Professional Suite (CSPS), a framework of tightly integrated Mathematica application packages that provides an object-oriented environment for solving the common control problems that arise in engineering, science, economics, and finance.
Polynomial Control Systems offers new tools for modeling, analysis, and design of linear control systems described by polynomial equations, matrices, and elements. It is the third package in CSPS, joining Control System Professional and Advanced Numerical Methods, the latter of which provides state-of-the-art numerical algorithms for systems and control.
New features for control system design using PCS include:
- Extensive tools for system analysis, such as the Smith and McMillan standard forms and the Luenberger controllable and observable canonical forms
- Facilities for the computation of controllability and observability indices, invariant and transmission zeros, and detection and removal of input and output decoupling zeros
- Computation of the relative gain array (RGA) and RGA number plot
- Direct and inverse Nyquist arrays for analyzing input-output interaction and diagonal dominance using Gershgorin and Ostrowski circles, as well as row and column dominance ratio plots
- Frequency-domain design methods using the Perron-Frobenius eigenvalue and eigenvector plots, characteristic value plots, and the characteristic locus method
- Design of constant and dynamic scaling compensators, pseudo- diagonalizing compensators, and aligning compensators
PCS is largely the work of the late Professor Neil Munro, a Fellow of the IEEE and the IEE, and head of the Control Systems Centre at the University of Manchester. A pioneering expert in the field, Dr. Munro made critical contributions to the control research community over the course of nearly 40 years.
PCS can be immediately downloaded from the Wolfram Research web store; an introductory discount is available. The package includes 225 pages of online documentation that provide a concise introduction to the implemented constructs and algorithms, as well as many worked examples.
For more information about PCS, visit: