NDLI: H2 performance limitation of a class of nonlinear non-minimum phase systems

Content Provider	IEEE Xplore Digital Library
Author	Di Lu Guoliang Fan Jianqiang Yi
Copyright Year	2012
Description	Author affiliation: The Integrated Information System Research Center, Institute of Automation, Chinese Academy of Sciences, Beijing, China (Di Lu; Guoliang Fan; Jianqiang Yi)
Abstract	In this paper, we study H2 performance limitation of the nonlinear non-minimum phase systems with a 'new' structure that the linear combination of all the states of the systems serves as the input of the dynamics where the unstable zero-dynamics is. It is shown that the best attainable tracking performance of the above system is equal as the minimum energy of stabilizing the 'extended' dynamics which is relevant to all the system's states except for the state whose differential equation contains the system's control input explicitly. In the end, we use two examples to illustrate our theorem. The first one is a simple comparison between two systems with different structures and the second one is a more practical object - the aircraft's longitudinal motion. For the latter one, we derive the H2 performance limitation of the nonlinear aircraft's longitudinal motion.
Starting Page	1317
Ending Page	1322
File Size	272707
Page Count	6
File Format	PDF
ISBN	9781467313971
e-ISBN	9781467313988
DOI	10.1109/WCICA.2012.6358084
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-06
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Equations Lyapunov methods Optimal control Nonlinear dynamical systems Asymptotic stability aircraft's longitudinal motion H2 performance limitation nonlinear system non-minimum phase system
Content Type	Text
Resource Type	Article

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