Controllability distributions and systems approximations: a geometric approach

A.C. Ruiz; Henk Nijmeijer

doi:10.1109/9.299638

Controllability distributions and systems approximations: a geometric approach

A.C. Ruiz, Henk Nijmeijer

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

Given a nonlinear system we determine a relation at an equilibrium between controllability distributions defined for a nonlinear system and a Taylor series approximation of it. The value of such a relation is appreciated if we recall that the solvability conditions as well as the solutions to some control synthesis problems can be stated in terms of geometric concepts like controlled invariant (controllability) distributions. The relation between these distributions at the equilibrium will help us to decide when the solvability conditions of this kind of problems are equivalent for the nonlinear system and its approximation

Original language	English
Pages (from-to)	1473-1476
Number of pages	4
Journal	IEEE transactions on automatic control
Volume	39
Issue number	7
DOIs	https://doi.org/10.1109/9.299638
Publication status	Published - 1994

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Controllability distributions and systems approximations: a geometric approach
Ruiz, A. C. & Nijmeijer, H., 1992, Enschede: University of Twente. 17 p. (Memorandum; no. 1040)
Research output: Book/Report › Report › Professional
Controllability distributions and systems approximations: a geometric approach
Ruiz, A. C. & Nijmeijer, H., 16 Dec 1992, 31st IEEE Conference on Decision and Control (CDC 1992). Piscataway, NJ: IEEE, p. 90-95
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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abstract = "Given a nonlinear system we determine a relation at an equilibrium between controllability distributions defined for a nonlinear system and a Taylor series approximation of it. The value of such a relation is appreciated if we recall that the solvability conditions as well as the solutions to some control synthesis problems can be stated in terms of geometric concepts like controlled invariant (controllability) distributions. The relation between these distributions at the equilibrium will help us to decide when the solvability conditions of this kind of problems are equivalent for the nonlinear system and its approximation",

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AB - Given a nonlinear system we determine a relation at an equilibrium between controllability distributions defined for a nonlinear system and a Taylor series approximation of it. The value of such a relation is appreciated if we recall that the solvability conditions as well as the solutions to some control synthesis problems can be stated in terms of geometric concepts like controlled invariant (controllability) distributions. The relation between these distributions at the equilibrium will help us to decide when the solvability conditions of this kind of problems are equivalent for the nonlinear system and its approximation

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Controllability distributions and systems approximations: a geometric approach

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