Practical Solutions for Multivariable Control
Polynomial Control Systems is an application package in
Control System Professional
Suite. It expands the scope of
Control System
Professional with new tools for modeling, analysis, and design
of linear control systems described by polynomial matrix equations or
matrices with rational polynomial elements. For multivariable systems,
these polynomial-based algorithms often provide designers with more
informative and meaningful answers than the established
state-space-based methods.
Polynomial Control Systems adds new control objects for the
system-matrix and matrix-fraction models that complement and
seamlessly integrate with existing state-space, transfer-function, and
zero-pole-gain objects. All objects can be easily converted into each
other and allow operations using the common set of functions. The
application package further adds the Smith and McMillan standard forms
for matrices and control objects, and provides a means for exploring
multivariable poles and zeros of a control system and its related
coprimeness, stability, functional controllability, decoupling zeros,
and other properties.
There are also new design tools for reducing interactions between
inputs and outputs in multivariable systems using the relative
gain array, Nyquist array, characteristic locus, Perron-Frobenius
scaling, and other methods.
Finally, Polynomial Control Systems contributes
reduced-order-estimator and output-feedback-compensator algorithms to
Control System Professional Suite's library of pole assignment
algorithms.
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"We have found PCS [Polynomial Control Systems] to be useful
and comprehensive.... Some of the controller design and synthesis
techniques are found to be unique... and can be helpful not only for
practicing engineers but also for academicians pursuing research.
Allowing exact and symbolic calculations for manipulations of
polynomial matrices seems to be the greatest advantage of the
toolbox. We believe, therefore, that the toolbox can also be used to
teach some of the fundamental concepts of multivariable systems to
graduate and possibly undergraduate students."
Mehmet Turan Söylemez and İlker Üstoğlu
"Polynomial Control Systems"
IEEE Control Systems Magazine
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About the Developer
The late Professor Neil Munro was 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.
Polynomial Control Systems requires Mathematica 5.0-5.2 and Control System Professional 2.0.3.
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