An application of polynomial matrix σ-inverse in minimum-energy state-space perfect control of nonsquare LTI MIMO systems

In this paper a concept of application of polynomial matrix σ-inverse in multivariable state-space perfect control is presented. The new inverse is derived from perfect control of systems described by the input-output approach. Rather surprisingly, the σ-inverse clearly outperforms some other invers...

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Bibliographic Details
Published in2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR) pp. 252 - 255
Main Author Hunek, Wojciech P.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2015
Subjects
Automation
Conferences
Control systems
Discrete-time state-space MIMO systems
inverse of nonsquare polynomial matrices
Linear systems
MIMO
minimum-energy design
multivariable perfect control
Optimized production technology
Polynomials
time-domain framework
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DOI10.1109/MMAR.2015.7283882

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Summary:In this paper a concept of application of polynomial matrix σ-inverse in multivariable state-space perfect control is presented. The new inverse is derived from perfect control of systems described by the input-output approach. Rather surprisingly, the σ-inverse clearly outperforms some other inverses of nonsquare parameter matrices, including the classical minimum-norm right one. A minimum-energy simulation example made in Matlab/Simulink confirms the usefulness of the proposed method.
DOI:10.1109/MMAR.2015.7283882