Polynomial Control Systems Products
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Polynomial Control Systems
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Features

System Representations and Objects
  • System matrices in polynomial and state-space forms
  • Left- and right-matrix-fraction descriptions
  • System equivalence transformations
  • Full integration with state-space and transfer-function objects
System Analysis Tools
  • Smith standard form
  • McMillan standard form and McMillan degree
  • Invariant zeros
  • Transmission zeros
  • Functional controllability
  • Coprimeness and matrix GCDs
  • Detection and removal of input and output decoupling zeros
  • Least-order systems
  • Similarity transformations of system matrices
  • Luenberger controllable and observable canonical forms
  • Controllability and observability indices
Input-Output Interaction and Diagonal Dominance
  • Relative gain array (RGA)
  • RGA number plot
  • Inverse systems
  • Direct and inverse Nyquist arrays
  • Row and column dominance ratio plots
  • Gershgorin and Ostrowski circles
  • Measures of diagonal dominance
Frequency-Domain Design
  • 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
Pole Assignment
  • Spectral and mapping dyadic algorithms with state feedback
  • Full-rank algorithms with state feedback
  • Compensator design using dyadic and full-rank algorithms with output feedback
Reduced-Order State Estimator (Luenberger Observer)
  • Pole assignment approach for symbolic and exact computations
Extensive Documentation and Case Studies
  • Extensive integrated and online documentation with numerous worked-out examples and case studies
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