Overview
- Authors:
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Christopher I. Byrnes
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School of Engineering and Applied Science, Washington University, St. Louis, USA
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Francesco Delli Priscoli
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Dipartimenti de Informatica e Sistem, Universita di Roma La “Sapienza”, Roma, Italy
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Alberto Isidori
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Dipartimenti de Informatica e Sistem, Universita di Roma La “Sapienza”, Roma, Italy
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Table of contents (4 chapters)
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- Christopher I. Byrnes, Francesco Delli Priscoli, Alberto Isidori
Pages 1-26
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- Christopher I. Byrnes, Francesco Delli Priscoli, Alberto Isidori
Pages 27-56
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- Christopher I. Byrnes, Francesco Delli Priscoli, Alberto Isidori
Pages 57-73
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- Christopher I. Byrnes, Francesco Delli Priscoli, Alberto Isidori
Pages 75-112
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Back Matter
Pages 113-123
About this book
The problem of controlling the output of a system so as to achieve asymptotic tracking of prescribed trajectories and/or asymptotic re jection of undesired disturbances is a central problem in control the ory. A classical setup in which the problem was posed and success fully addressed - in the context of linear, time-invariant and finite dimensional systems - is the one in which the exogenous inputs, namely commands and disturbances, may range over the set of all possible trajectories ofa given autonomous linear system, commonly known as the exogeneous system or, more the exosystem. The case when the exogeneous system is a harmonic oscillator is, of course, classical. Even in this special case, the difference between state and error measurement feedback in the problem ofoutput reg ulation is profound. To know the initial condition of the exosystem is to know the amplitude and phase of the corresponding sinusoid. On the other hand, to solve the output regulation problem in this case with only error measurement feedback is to track, or attenu ate, a sinusoid ofknown frequency but with unknown amplitude and phase. This is in sharp contrast with alternative approaches, such as exact output tracking, where in lieu of the assumption that a signal is within a class of signals generated by an exogenous system, one instead assumes complete knowledge of the past, present and future time history of the trajectory to be tracked.
