Semi-Ellipsoidal Controlled Invariant Sets for Constrained Linear Systems

[+] Author and Article Information
Brian D. O’Dell, Eduardo A. Misawa

Oklahoma State University, School of Mechanical & Aerospace Engineering, 218 Engineering North, Stillwater, OK 74078-5016

J. Dyn. Sys., Meas., Control 124(1), 98-103 (Apr 17, 2000) (6 pages) doi:10.1115/1.1434269 History: Received April 17, 2000
Copyright © 2002 by ASME
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Grahic Jump Location
Illustration of admissible and inadmissible states
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Invariant subset of invariant ellipsoid
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Derivative function subsets
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Comparison of requirements for theorems 1 and 3
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Illustration of reduced dimension ellipsoid and state constraint boundary
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Maximal control occurring inside of S⁁
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Semi-ellipsoidal set and trajectories for example 1
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Comparison of sets for example 2




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