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Analysis and control of nonlinear systems with stationary sets : time-domain and frequency-domain methods /

This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and si...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Wang, Jinzhi
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hackensack, N.J. : World Scientific, ©2009.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Analysis and control of nonlinear systems with stationary sets :  |b time-domain and frequency-domain methods /  |c Jinzhi Wang [and others]. 
260 |a Hackensack, N.J. :  |b World Scientific,  |c ©2009. 
300 |a 1 online resource (xxii, 311 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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504 |a Includes bibliographical references (pages 295-308) and index. 
505 0 |a Cover -- Contents -- Preface -- Notation and Symbols -- 1. Linear Systems and Linear Matrix Inequalities -- 1.1 Controllability and observability of linear systems -- 1.1.1 Controllability and observability -- 1.1.2 Stabilizability and detectability -- 1.2 Algebraic Lyapunov equations and Lyapunov inequalities -- 1.2.1 Continuous-time algebraic Lyapunov equations -- 1.2.2 Continuous-time Lyapunov inequalities -- 1.2.3 Discrete-time algebraic Lyapunov equations and inequalities -- 1.3 Formulation related to linear matrix inequalities -- 1.3.1 Schur complements -- 1.3.2 Projection lemma -- 1.4 The S-procedure -- 1.4.1 The S-procedure for nonstrict inequalities -- 1.4.2 The S-procedure for strict inequalities -- 1.5 Kalman-Yakubovi183;c-Popov (KYP) lemma and its general- ized forms -- 1.6 Notes and references -- 2. LMI Approach to H1 Control -- 2.1 L1 norm and H1 norm of the systems -- 2.1.1 L1 and H1 spaces -- 2.1.2 Computing L1 and H1 norms -- 2.2 Linear fractional transformations -- 2.3 Redheffer star product -- 2.4 Algebraic Riccati equations -- 2.4.1 Solvability conditions for Riccati equations -- 2.4.2 Discrete Riccati equation -- 2.5 Bounded real lemma -- 2.6 Small gain theorem -- 2.7 LMI approach to H1 control -- 2.7.1 Continuous-time H1 control -- 2.7.2 Discrete-time H1 control -- 2.8 Notes and references -- 3. Analysis and Control of Positive Real Systems -- 3.1 Positive real systems -- 3.2 Positive real lemma -- 3.3 LMI approach to control of SPR -- 3.4 Relationship between SPR control and SBR control -- 3.5 Multiplier design for SPR -- 3.6 Notes and references -- 4. Absolute Stability and Dichotomy of Lur'e Systems -- 4.1 Circle criterion of SISO Lur'e systems -- 4.2 Popov criterion of SISO Lur'e systems -- 4.3 Aizerman and Kalman conjectures -- 4.4 MIMO Lur'e systems -- 4.5 Dichotomy of Lur'e systems -- 4.6 Bounded derivative conditions -- 4.7 Notes and references -- 5. Pendulum-like Feedback Systems -- 5.1 Several examples -- 5.2 Pendulum-like feedback systems -- 5.2.1 The first canonical form of pendulum-like feedback system -- 5.2.2 The second canonical form of pendulum-like feed- back system -- 5.2.3 The relationship between the 175;rst and the second forms of pendulum-like feedback systems -- 5.3 Dichotomy of pendulum-like feedback systems -- 5.3.1 Dichotomy of the second form of autonomous pendulum-like feedback systems -- 5.3.2 Dichotomy of the first form of pendulum-like feed- back systems -- 5.4 Gradient-like property of pendulum-like feedback systems -- 5.4.1 Gradient-like property of the second form of pendulum-like feedback systems -- 5.4.2 Gradient-like property of the first form of pendulum-like feedback systems -- 5.5 Lagrange stability of pendulum-like feedback systems -- 5.6 Bakaev stability of pendulum-like feedback systems -- 5.7 Notes and references -- 6. Controller Design for a Class of Pendulum-like Systems -- 6.1 Controller design with dichotomy or gradient-like property -- 6.1.1 Controller design with dichotomy -- 6.1.2 Controller design with gradient-like property -- 6.2 Controller design with Lagrange stability -- 6.3 Notes and references -- 7. Controller Designs for Systems with Input Nonlinearities -- 7.1 Lagrange stabilizing for systems with input nonlinearities -- 7.2 Bakaev stabilizing for systems with input nonlinearities -- 7.3 Control for systems with input nonlinearities guaranteeing di. 
588 0 |a Print version record. 
520 |a This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Nonlinear control theory. 
650 6 |a Commande non linéaire. 
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650 7 |a TECHNOLOGY & ENGINEERING  |x Robotics.  |2 bisacsh 
650 7 |a Nonlinear control theory  |2 fast 
700 1 |a Wang, Jinzhi. 
758 |i has work:  |a Analysis and control of nonlinear systems with stationary sets (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGcDxJ3yv4qBpDDWyDhHyd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |t Analysis and control of nonlinear systems with stationary sets.  |d Hackensack, N.J. : World Scientific, ©2009  |z 9812814698  |w (OCoLC)228425521 
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