NDLI: Dynamic decoupling for general nonlinear systems based on interactor inversion algorithm

Content Provider	IEEE Xplore Digital Library
Author	Wancheng Wang Xianzhong Dai
Copyright Year	2008
Description	Author affiliation: Coll. of Electr. Eng., Hohai Univ., Nanjing (Wancheng Wang)
Abstract	Based on the Interactor inversion algorithm for general nonlinear system, this paper proposes a concept of dynamic vector relative degree and shows that the necessary and sufficient condition of dynamic decoupling for general nonlinear system is the existence of the dynamic vector relative degree. In addition, another concept of essential orders for affine nonlinear system is extended to general nonlinear system in a vector manner, which in conjunction with the dynamic vector relative degree demonstrates an intrinsic relation between static and dynamic decoupling. That is, static decoupling is just a special case of dynamic decoupling, taking place when the dynamic vector relative degree is the same as the vector essential order; at the same time, the number of dynamic compensators required for dynamic decoupling is exactly equal to the sum of the differences between the components of vector essential order and those of dynamic vector relative degree. Thus, dynamic decoupling of general nonlinear system is characterized by the two concepts in quantitative and qualitative way. The dynamic vector relative degree as well as the vector essential order is a vector whose components have one-to-one relation with decoupling channels from the decoupled systempsilas inputs to its outputs, thereby enabling us to have a better understanding for the physical meaning of dynamic decoupling property. Finally, based on one simple example, comparisons are made between the proposed method and other existing methods.
Starting Page	5079
Ending Page	5084
File Size	319907
Page Count	6
File Format	PDF
ISBN	9781424417339
DOI	10.1109/CCDC.2008.4598297
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-07-02
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Electrical engineering Sufficient conditions Dynamic Decoupling General Nonlinear System Heuristic algorithms Interactor Inversion Algorithm Dynamic Vector Relative Degree Educational institutions Nonlinear dynamical systems Electronic mail Vector Essential Order Nonlinear systems
Content Type	Text
Resource Type	Article

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