This paper deals with the problem of linearization of systems with constant commensurable delays by input-output injection using algebraic control tools based on the theory of non-commutative rings. Solutions for the problem of linearization free of delays, and with delays of an observable nonlinear time-delay systems are presented based on the analysis of the input-output equation. These results are achieved by means of constructive algorithms that use the n-th derivative of the output expressed in terms of the state-space variables instead of the explicit computation of the input-output representation of the system. Necessary and sufficient conditions are established in both cases by means of an invertible change of coordinates.
Linearisation via input-output injection of time delay systems / Eduardo, García–ramírez; Claude, H. Moog; Califano, Claudia; Luis, Alejandro Márquez–Martínez. - In: INTERNATIONAL JOURNAL OF CONTROL. - ISSN 0020-7179. - STAMPA. - 89:6(2016), pp. 1125-1136. [10.1080/00207179.2015.1122230]
Linearisation via input-output injection of time delay systems
CALIFANO, Claudia;
2016
Abstract
This paper deals with the problem of linearization of systems with constant commensurable delays by input-output injection using algebraic control tools based on the theory of non-commutative rings. Solutions for the problem of linearization free of delays, and with delays of an observable nonlinear time-delay systems are presented based on the analysis of the input-output equation. These results are achieved by means of constructive algorithms that use the n-th derivative of the output expressed in terms of the state-space variables instead of the explicit computation of the input-output representation of the system. Necessary and sufficient conditions are established in both cases by means of an invertible change of coordinates.File | Dimensione | Formato | |
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Note: https://doi.org/10.1080/00207179.2015.1122230
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