Control of uncertain systems--modelling, approximation, and by Bruce A. Francis, Malcolm C. Smith, Jan C. Willems

By Bruce A. Francis, Malcolm C. Smith, Jan C. Willems

This Festschrift includes a number of articles by way of buddies, co-authors, colleagues, and previous Ph.D. scholars of Keith Glover, Professor of Engineering on the collage of Cambridge, at the party of his 60th birthday. Professor Glover's clinical paintings spans a wide selection of subject matters, the most topics being method id, version relief and approximation, powerful controller synthesis, and keep watch over of plane and engines. The articles during this quantity are a tribute to Professor Glover's seminal paintings in those components.

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Extra resources for Control of uncertain systems--modelling, approximation, and design: a workshop on the occasion of Keith Glover's 60th birthday

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Arndt3 1 2 3 Aerospace Engineering and Mechanics, 110 Union St. edu MTA SZTAKI, Hungarian Academy of Science, Budapest XI Kende u. hu Civil Engineering and St. Anthony Falls Laboratory, 2 Third Ave. edu I (GB) was fortunate that early in my career I had the opportunity to work with Keith Glover. Keith had just begun his obsession with golf. A simple game where a ball stands still and the player advances it from different parts of the landscape into a hole. During a golf outing, Keith vigorously struck a ball off the fairway.

Rp ], ri ≥ 0, ∀i, if at a point x0 (i) Lgj Lkf hi (x) = 0, . . j = 1, . . , m, k < ri−1 , (ii) The matrix  Lg1 Lrf1 −1 h1 (x), . . , Lg1 Lrf1 −1 h1 (x)   .. , rp −1 rp −1 Lgm Lf hp (x), . . , Lgm Lf hp (x)  AIA has rank p at x0 . (14) Control of High-Speed Underwater Vehicles 33 For linear time invariant (LTI) systems given by (A, B, C), we have that Lgj Lfri −1 hi (x) = ci Ari −1 bj and if p = m then the vector relative degree is defined if rankALT I = n where n is the state dimension.

M, k < ri−1 , (ii) The matrix  Lg1 Lrf1 −1 h1 (x), . . , Lg1 Lrf1 −1 h1 (x)   .. , rp −1 rp −1 Lgm Lf hp (x), . . , Lgm Lf hp (x)  AIA has rank p at x0 . (14) Control of High-Speed Underwater Vehicles 33 For linear time invariant (LTI) systems given by (A, B, C), we have that Lgj Lfri −1 hi (x) = ci Ari −1 bj and if p = m then the vector relative degree is defined if rankALT I = n where n is the state dimension. The concept of relative degree can be extended to time delay systems, too.

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