Output Regulation of Uncertain Nonlinear Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1997
|
| Schriftenreihe: | Systems & Control: Foundations & Applications
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XI, 120 p) |
| ISBN: | 9781461220206 9781461273844 |
| ISSN: | 2324-9749 |
| DOI: | 10.1007/978-1-4612-2020-6 |
Internformat
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| 500 | |a 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 | ||
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Datensatz im Suchindex
| _version_ | 1804153091237347328 |
|---|---|
| any_adam_object | |
| author | Byrnes, Christopher I. 1949-2010 |
| author_GND | (DE-588)171998227 (DE-588)173133606 (DE-588)110879279 |
| author_facet | Byrnes, Christopher I. 1949-2010 |
| author_role | aut |
| author_sort | Byrnes, Christopher I. 1949-2010 |
| author_variant | c i b ci cib |
| building | Verbundindex |
| bvnumber | BV042419960 |
| classification_tum | MAT 000 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2020-6 |
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| id | DE-604.BV042419960 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461220206 9781461273844 |
| issn | 2324-9749 |
| language | English |
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| publishDate | 1997 |
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| series2 | Systems & Control: Foundations & Applications |
| spelling | Byrnes, Christopher I. 1949-2010 Verfasser (DE-588)171998227 aut Output Regulation of Uncertain Nonlinear Systems by Christopher I. Byrnes, Francesco Delli Priscoli, Alberto Isidori Boston, MA Birkhäuser Boston 1997 1 Online-Ressource (XI, 120 p) txt rdacontent c rdamedia cr rdacarrier Systems & Control: Foundations & Applications 2324-9749 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 Mathematics Mathematics, general Mathematik Unsicherheit (DE-588)4186957-6 gnd rswk-swf Adaptivregelung (DE-588)4000457-0 gnd rswk-swf Robuste Regelung (DE-588)4206985-3 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 s Unsicherheit (DE-588)4186957-6 s Robuste Regelung (DE-588)4206985-3 s 1\p DE-604 Adaptivregelung (DE-588)4000457-0 s 2\p DE-604 DelliPriscoli, Francesco 1962- Sonstige (DE-588)173133606 oth Isidori, Alberto 1942- Sonstige (DE-588)110879279 oth https://doi.org/10.1007/978-1-4612-2020-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Byrnes, Christopher I. 1949-2010 Output Regulation of Uncertain Nonlinear Systems Mathematics Mathematics, general Mathematik Unsicherheit (DE-588)4186957-6 gnd Adaptivregelung (DE-588)4000457-0 gnd Robuste Regelung (DE-588)4206985-3 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| subject_GND | (DE-588)4186957-6 (DE-588)4000457-0 (DE-588)4206985-3 (DE-588)4042110-7 |
| title | Output Regulation of Uncertain Nonlinear Systems |
| title_auth | Output Regulation of Uncertain Nonlinear Systems |
| title_exact_search | Output Regulation of Uncertain Nonlinear Systems |
| title_full | Output Regulation of Uncertain Nonlinear Systems by Christopher I. Byrnes, Francesco Delli Priscoli, Alberto Isidori |
| title_fullStr | Output Regulation of Uncertain Nonlinear Systems by Christopher I. Byrnes, Francesco Delli Priscoli, Alberto Isidori |
| title_full_unstemmed | Output Regulation of Uncertain Nonlinear Systems by Christopher I. Byrnes, Francesco Delli Priscoli, Alberto Isidori |
| title_short | Output Regulation of Uncertain Nonlinear Systems |
| title_sort | output regulation of uncertain nonlinear systems |
| topic | Mathematics Mathematics, general Mathematik Unsicherheit (DE-588)4186957-6 gnd Adaptivregelung (DE-588)4000457-0 gnd Robuste Regelung (DE-588)4206985-3 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Unsicherheit Adaptivregelung Robuste Regelung Nichtlineares System |
| url | https://doi.org/10.1007/978-1-4612-2020-6 |
| work_keys_str_mv | AT byrneschristopheri outputregulationofuncertainnonlinearsystems AT dellipriscolifrancesco outputregulationofuncertainnonlinearsystems AT isidorialberto outputregulationofuncertainnonlinearsystems |