By Eugenio Aulisa,David Gilliam
A functional consultant to Geometric rules for allotted Parameter Systems presents an creation to geometric keep watch over layout methodologies for asymptotic monitoring and disturbance rejection of infinite-dimensional platforms. The ebook additionally introduces a number of new keep watch over algorithms encouraged by means of geometric invariance and asymptotic appeal for a variety of dynamical keep watch over structures.
The first a part of the ebook is dedicated to legislation of linear structures, starting with the mathematical setup, common thought, and resolution approach for law issues of bounded enter and output operators. The publication then considers the extra attention-grabbing case of unbounded regulate and sensing. Mathematically, this situation is extra advanced and common theorems during this zone became to be had only in the near past. The authors additionally supply a suite of attention-grabbing linear rules examples from physics and engineering.
The moment half specializes in law for nonlinear structures. It starts with a dialogue of theoretical effects, characterizing solvability of nonlinear regulator issues of bounded enter and output operators. The ebook progresses to difficulties for which the geometric idea in accordance with middle manifolds doesn't without delay follow. The authors convey how the belief of appealing invariance can be utilized to unravel a sequence of more and more advanced rules difficulties. The e-book concludes with the recommendations of difficult nonlinear legislation examples from physics and engineering.
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Extra resources for A Practical Guide to Geometric Regulation for Distributed Parameter Systems (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
A Practical Guide to Geometric Regulation for Distributed Parameter Systems (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) by Eugenio Aulisa,David Gilliam