کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
697332 890366 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Realization of discrete-time nonlinear input–output equations: Polynomial approach
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Realization of discrete-time nonlinear input–output equations: Polynomial approach
چکیده انگلیسی

The aim of this paper is to solve reduction and realization problems for discrete-time multi-input multi-output nonlinear control systems by applying the theory of non-commutative polynomials. First, the necessary and sufficient reducibility condition is presented in terms of the greatest common left divisor of two polynomial matrices associated with the set of the higher order input–output (i/o) difference equations of the system. The condition also provides a method for system reduction, i.e. for finding the irreducible representation of the set of the i/o equations, being transfer equivalent to the original system representation. Second, to solve the realization problem, a formula is presented for computing the differentials of the state coordinates directly from the polynomial description of the nonlinear system. The polynomial approach addressed in this paper is more direct and requires noticeably less computations than earlier methods represented in terms of subspaces of differential one-forms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 48, Issue 2, February 2012, Pages 255–262
نویسندگان
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