Nonlinear control systems: [1]
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Edition: | [softcover repr. of the hardcover 3. ed.] |
| Series: | Communications and control engineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XV, 549 S. graph. Darst. |
| ISBN: | 9781447139096 |
Staff View
MARC
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| 245 | 1 | 0 | |a Nonlinear control systems |n [1] |c Alberto Isidori |
| 250 | |a [softcover repr. of the hardcover 3. ed.] | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2013 | |
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Record in the Search Index
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|---|---|
| adam_text | Table
of
Contents
1.
Local Decompositions of Control Systems
................. 1
1.1
Introduction
........................................... 1
1.2
Notations
............................................. 5
1.3
Distributions
........................................... 13
1.4
Frobenius Theorem
..................................... 22
1.5
The Differential Geometric Point of View
.................. 33
1.6
Invariant Distributions
.................................. 41
1.7
Local Decompositions of Control Systems
.................. 49
1.8
Local Reachability
...................................... 53
1.9
Local Observability
..................................... 69
2.
Global Decompositions of Control Systems
............... 77
2.1
Sussmann s Theorem and Global Decompositions
........... 77
2.2
The Control Lie Algebra
................................ 83
2.3
The Observation Space
.................................. 87
2.4
Linear Systems and Bilinear Systems
..................... 91
2.5
Examples
.............................................. 99
3.
Input-Output Maps and Realization Theory
..............105
3.1
Fliess Functional Expansions
............................. 105
3.2
Volterra Series Expansions
...............................112
3.3
Output
Invariance
......................................116
3.4
Realization Theory
..................................... 121
3.5
Uniqueness of Minimal Realizations
....................... 132
4.
Elementary Theory of Nonlinear Feedback far Sixigle-Xxiput
Single-Output Systems
................................... 137
4.1
Local Coordinates Transformations
....................... 137
4.2
Exact Linearization Via, Feedback
........................ 147
4.3
The Zero Dynamics
..................................... 162
4.4
Local Asymptotic Stabilization
........................... 172
4.5
Asymptotic Output Tracking
............................ 178
4.6
Disturbance Decoupling
................................. 184
4.7
High Gain Feedback
..........................____...... 189
xiv
Table
of Contents
4.8
Additional Results on Exact Linearization
.................194
4.9
Observers with Linear Error Dynamics
....................203
4.10
Examples
..............................................211
5.
Elementary Theory of Nonlinear Feedback for Multi-Input
Multi-Output Systems
....................................219
5.1
Local Coordinates Transformations
....................... 219
5.2
Exact Linearization via Feedback
......................... 227
5.3
Noninteracting Control
.................................. 241
5.4
Achieving Relative Degree via Dynamic Extension
.......... 249
5.5
Examples
.............................................. 263
5.6
Exact Linearization of the Input-Output Response
......... . 277
6.
Geometric Theory of State Feedback: Tools
...............293
6.1
The Zero Dynamics
.................................... . 293
6.2
Controlled Invariant Distributions
........................312
6.3
The Maximal Controlled Invariant Distribution in
ker(cř/i)
. . . 317
6.4
Controllability Distributions
............................. 333
7.
Geometric Theory of Nonlinear Systems: Applications
.... 339
7.1
Asymptotic Stabilization via State Feedback
............... 339
7.2
Disturbance Decoupling
.................................. 342
7.3
Noninteracting Control with Stability via Static Feedback
. . . 344
7.4
Noninteracting Control with Stability: Necessary Conditions
. 364
7.5
Noninteracting Control with Stability: Sufficient Conditions
. . 373
8.
Tracking and Regulation
..................................387
8.1
The Steady State Response in a Nonlinear System
..........387
8.2
The Problem of Output Regulation
.......................391
8.3
Output Regulation in the Case of Full Information
..........396
8.4
Output Regulation in the Case of Error Feedback
..........403
8.5
Structurally Stable Regulation
...........................416
9.
Global Feedback Design for Single-Input Single-Output Sys¬
tems
...................................................... 427
9.1
Global Normal Forms
...................................427
9.2
Examples of Global Asymptotic Stabilization
.............. 432
9.3
Examples of
Semiglobal
Stabilization
...................... 439
9.4
Artstein-Sontag s Theorem
..............................448
9.5
Examples of Global Disturbance Attenuation
.............. 450
9.6 Semiglobal
Stabilization by Output Feedback
.............. 460
Table
of
Contents
xv
A.
Appendix A
..............................................471
A.I Some Facts from Advanced Calculus
......................471
A.
2
Some Elementary Notions of Topology
....................473
A.3 Smooth Manifolds
......................................474
A.4 Submanifolds
..........................................479
A.
5
Tangent Vectors
........................................483
A.
6
Vector Fields
..........................................493
B. Appendix
В
..............................................503
B.I Center Manifold Theory
.................................503
B.2 Some Useful Properties
.................................. 511
B.3 Local Geometric Theory of Singular Perturbations
.......... 517
Bibliographical Notes
....................................... 529
References
.................................................... 535
Index
.............................................. ..... ...... 545
This established and authoritative text focuses on the
design and analysis of nonlinear control systems. The
author considers the latest research results and
techniques in this updated and extended edition.
Topics covered include:
•
Local and global decompositions of control systems
•
Input-ouput maps and realization theory
•
Nonlinear feedback for single-input/single-output
systems and multi-input/multi-output systems
•
Applications of state feedback
•
Output regulation
•
Global stabilization and disturbance attenuation.
Examples are given from mechanical, electrical and
aerospace engineering. The approach consists of a
rigorous mathematical formulation of control problems
together with methods for their solution. The two
appendices outline the most important concepts of
differential geometry and present some specific data not
often found in other standard works. This makes
Nonlinear Control Systems suitable as a graduate and
undergraduate text and as a source of reference.
The Communications and Control Engineering series
reports major technological advances which have
potential for great impact in the fields of communication
and control. It reflects research in industrial and academic
institutions around the world so that its readership can
exploit new possibilities as they become available.
|
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| discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | [softcover repr. of the hardcover 3. ed.] |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T01:19:48Z |
| institution | BVB |
| isbn | 9781447139096 |
| language | English |
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| physical | XV, 549 S. graph. Darst. |
| publishDate | 2013 |
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| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series2 | Communications and control engineering |
| spelling | Isidori, Alberto 1942- Verfasser (DE-588)110879279 aut Nonlinear control systems [1] Alberto Isidori [softcover repr. of the hardcover 3. ed.] Berlin [u.a.] Springer 2013 XV, 549 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Communications and control engineering Nichtlineare Regelung (DE-588)4132964-8 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Rückkopplung (DE-588)4050851-1 gnd rswk-swf Regelungstheorie (DE-588)4122327-5 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineare Regelung (DE-588)4132964-8 s Rückkopplung (DE-588)4050851-1 s DE-604 Differentialgeometrie (DE-588)4012248-7 s Nichtlineares System (DE-588)4042110-7 s Regelungstheorie (DE-588)4122327-5 s (DE-604)BV021859982 1 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027808915&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027808915&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Isidori, Alberto 1942- Nonlinear control systems Nichtlineare Regelung (DE-588)4132964-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd Rückkopplung (DE-588)4050851-1 gnd Regelungstheorie (DE-588)4122327-5 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| subject_GND | (DE-588)4132964-8 (DE-588)4012248-7 (DE-588)4050851-1 (DE-588)4122327-5 (DE-588)4042110-7 |
| title | Nonlinear control systems |
| title_auth | Nonlinear control systems |
| title_exact_search | Nonlinear control systems |
| title_full | Nonlinear control systems [1] Alberto Isidori |
| title_fullStr | Nonlinear control systems [1] Alberto Isidori |
| title_full_unstemmed | Nonlinear control systems [1] Alberto Isidori |
| title_short | Nonlinear control systems |
| title_sort | nonlinear control systems |
| topic | Nichtlineare Regelung (DE-588)4132964-8 gnd Differentialgeometrie (DE-588)4012248-7 gnd Rückkopplung (DE-588)4050851-1 gnd Regelungstheorie (DE-588)4122327-5 gnd Nichtlineares System (DE-588)4042110-7 gnd |
| topic_facet | Nichtlineare Regelung Differentialgeometrie Rückkopplung Regelungstheorie Nichtlineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027808915&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027808915&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021859982 |
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