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A Practical Guide to Geometric Regulation for Distributed Parameter Systems (Hardcover)
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A Practical Guide to Geometric Regulation for Distributed Parameter Systems (Hardcover)
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Expected to ship within 12 - 17 working days
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A Practical Guide to Geometric Regulation for Distributed Parameter
Systems provides an introduction to geometric control design
methodologies for asymptotic tracking and disturbance rejection of
infinite-dimensional systems. The book also introduces several new
control algorithms inspired by geometric invariance and asymptotic
attraction for a wide range of dynamical control systems. The first
part of the book is devoted to regulation of linear systems,
beginning with the mathematical setup, general theory, and solution
strategy for regulation problems with bounded input and output
operators. The book then considers the more interesting case of
unbounded control and sensing. Mathematically, this case is more
complicated and general theorems in this area have become available
only recently. The authors also provide a collection of interesting
linear regulation examples from physics and engineering. The second
part focuses on regulation for nonlinear systems. It begins with a
discussion of theoretical results, characterizing solvability of
nonlinear regulator problems with bounded input and output
operators. The book progresses to problems for which the geometric
theory based on center manifolds does not directly apply. The
authors show how the idea of attractive invariance can be used to
solve a series of increasingly complex regulation problems. The
book concludes with the solutions of challenging nonlinear
regulation examples from physics and engineering.
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