DocumentCode :
3432537
Title :
Irreducibility and reduction of MIMO nonlinear control systems: Unification and extension via pseudo-linear algebra
Author :
Kotta, Ü ; Kotta, P. ; Halás, M.
Author_Institution :
Inst. of Cybernetcs, TUT, Tallinn, Estonia
fYear :
2009
fDate :
9-11 Dec. 2009
Firstpage :
763
Lastpage :
768
Abstract :
The paper applies the pseudo-linear algebra to unify the study of irreducibility and reduction problems for continuous- and discrete-time multi-input multi-output nonlinear control systems. The necessary and sufficient condition for irreducibility of the set of nonlinear input-output equations is presented in terms of the greatest common left divisor of two polynomial matrices describing the behaviour of the system. The basic difference is that, unlike the linear case, the elements of the polynomial matrices belong to a non-commutative skew polynomial ring. The suggested condition provides a bases for finding the (transfer) equivalent minimal irreducible representation of the set of input-output equations, which is a suitable starting point for constructing an observable and accessible state space realization. Besides unification, the tools of pseudolinear algebra allow to extend the results for systems defined by difference, q-shift and q-difference operators.
Keywords :
MIMO systems; continuous time systems; discrete time systems; linear algebra; polynomial matrices; continuous-time MIMO nonlinear control systems; discrete-time MIMO nonlinear control systems; irreducibility problems; polynomial matrices; pseudo-linear algebra; reduction problems; Algebra; Automatic control; Automation; Control systems; MIMO; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Polynomials; Sufficient conditions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control and Automation, 2009. ICCA 2009. IEEE International Conference on
Conference_Location :
Christchurch
Print_ISBN :
978-1-4244-4706-0
Electronic_ISBN :
978-1-4244-4707-7
Type :
conf
DOI :
10.1109/ICCA.2009.5410610
Filename :
5410610
Link To Document :
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