Polynomial matrix solution of H2 optimal control problem for state-space systems

2002 ◽  
Vol 23 (2) ◽  
pp. 59-89 ◽  
Author(s):  
M. J. Grimble
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
State Space ◽  
Polynomial Matrix ◽  
Space Systems ◽  
Matrix Solution ◽  
State Space Systems

scholarly journals Computation of a Canonical Form for Linear 2D Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Mohamed Salah Boudellioua
Keyword(s):  
State Space ◽  
Linear Systems ◽  
Canonical Form ◽  
Polynomial Matrix ◽  
2D Systems ◽  
Space Systems ◽  
Polynomial Matrices ◽  
Computational Aspects ◽  
State Space Systems ◽  
Linear State

Symbolic computation techniques are used to obtain a canonical form for polynomial matrices arising from discrete 2D linear state-space systems. The canonical form can be regarded as an extension of the companion form often encountered in the theory of 1D linear systems. Using previous results obtained by Boudellioua and Quadrat (2010) on the reduction by equivalence to Smith form, the exact connection between the original polynomial matrix and the reduced canonical form is set out. An example is given to illustrate the computational aspects involved.

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