1. Geometric structure and properties of linear time invariant multivariable systems in the controller canonical form
- Author
-
Lorenzo Ntogramatzidis and Christina Kazantzidou
- Subjects
0209 industrial biotechnology ,Control and Optimization ,Controller Canonical Form ,Computation ,010103 numerical & computational mathematics ,02 engineering and technology ,01 natural sciences ,Geometric Control Theory ,LTI system theory ,020901 industrial engineering & automation ,Control theory ,Reachability ,Canonical form ,0101 mathematics ,Electrical and Electronic Engineering ,Linear Multivariable Systems ,010204 Dynamical Systems in Applications ,Mathematics ,Direct method ,Multivariable calculus ,Invariant (physics) ,010299 Applied Mathematics not elsewhere classified ,Linear subspace ,090602 Control Systems Robotics and Automation ,Computer Science Applications ,Human-Computer Interaction ,Control and Systems Engineering - Abstract
In this paper, we analyse some fundamental structural properties of linear time-invariant multivariable systems in the controller canonical form and present a direct method for the computation of bases and associated friends for output-nulling, input-containing and reachability subspaces in terms of the parameters of the system and the invariant zero structure, both in the nondefective and in the defective case. Using this analysis, it is possible to express the solvability conditions of important control and estimation problems in terms of easily checkable conditions on the system matrices.
- Published
- 2017
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