Viability of Hybrid Systems (Record no. 104501)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05149nam a22005055i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-94-007-2521-8 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083341.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110930s2012 ne | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789400725218 |
| -- | 978-94-007-2521-8 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-94-007-2521-8 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | Q295 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA402.3-402.37 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | GPFC |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | SCI064000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | TEC004000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Labinaz, G. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Viability of Hybrid Systems |
| Medium | [electronic resource] : |
| Remainder of title | A Controllability Operator Approach / |
| Statement of responsibility, etc | by G. Labinaz, M. Guay. |
| 264 #1 - | |
| -- | Dordrecht : |
| -- | Springer Netherlands, |
| -- | 2012. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | X, 246 p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Intelligent Systems, Control and Automation: Science and Engineering ; |
| Volume number/sequential designation | 55 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1 Introduction -- 1.1 Motivation and History -- 1.2 Summary and Organization -- 1.3 Summary -- 2 Literature Review -- 2.1 Nerode et al Approach to Viability of Hybrid Systems [50],[71] -- 2.2 Aubin et al Approach to Viability of Hybrid Systems [15] -- 2.3 Deshpande{Varaiya Approach to Viability of Hybrid Systems [35] -- 2.4 Related Literature -- 2.5 Conclusion -- 3 Hybrid Model -- 3.1 Hybrid Phenomena and Hybrid Model -- 3.2 Hybrid Trajectories and their Ordering -- 3.3 Continuity, Fixed Points, and Correct Finite Control Automaton -- 3.4 Uncertainty in Hybrid Systems -- 3.5 The Three-Tank Problem -- 3.6 Nerode{Kohn Formalism for Hybrid Systems -- 3.7 Conclusion -- 4 Viability -- 4.1 Background -- 4.2 Time{Independent Viability Set -- 4.3 Fixed Point Approximation -- 4.4 Computation of TIC{COFPAA{I for Three Admissible Control Law Classes -- 4.4.1 Piecewise Constant Control -- 4.4.2 Piecewise Constant with Finite Switching -- 4.4.3 Piecewise Constant with Polynomial Control -- 4.5 Time{Dependent Viability Set -- 4.5.1 Piecewise Constant Control -- 4.6 Examples -- 4.6.1 Time{Independent Constraints -- 4.6.2 Time{Dependent Constraints -- 4.7 Conclusion -- 5 Robust Viability -- 5.1 Uncertainty and Robustness -- 5.2 Ordering of the Controllability Operator under Uncertainty -- 5.3 The Uncertain Controllability Operator and the Uncertainty Operator -- 5.4 Robust Viability -- 5.5 Robust Viability Control Design -- 5.6 Examples -- 5.7 Conclusion -- 6 Viability in Practice -- 6.1 Reachable Set Computation of the Controllability Operator -- 6.2 Viable Cascade Control and Application to a Batch Polymerization Process [55][56] -- 6.2.1 Batch Polymerization Process Model -- 6.2.2 Hybrid Model -- 6.2.3 Viable Cascade Control -- 6.2.4 Batch Polymerization Control -- 6.2.5 Discussion and Conclusions -- 6.2.6 Appendix -- 6.3 Conclusion -- 7 An Operator Approach to Viable Attainability of Hybrid Systems [60] -- 7.1 Introduction -- 7.2 Attainability and the Attainability Operator -- 7.3 Viable Attainability and the Viable Attainability Operator -- 7.4 Simulation Examples -- 7.5 Conclusion -- 8 Some Topics Related to the Controllability Operator -- 8.1 Topological Continuity Arising from Fixed Point Approximation Algorithm -- 8.2 The Lattice over Control Laws of the Controllability Operator -- 8.3 Homotopic Approximation under PWC_ -- k -- PWCPC_ -- k -- 8.4 Conclusion -- 9 Conclusions -- References. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The problem of viability of hybrid systems is considered in this work. A model for a hybrid system is developed including a means of including three forms of uncertainty: transition dynamics, structural uncertainty, and parametric uncertainty. A computational basis for viability of hybrid systems is developed and applied to three control law classes. An approach is developed for robust viability based on two extensions of the controllability operator. The three-tank example is examined for both the viability problem and robust viability problem. The theory is applied through simulation to an active magnetic bearing system and to a batch polymerization process showing that viability can be satisfied in practice. The problem of viable attainability is examined based on the controllability operator approach introduced by Nerode and colleagues. Lastly, properties of the controllability operator are presented. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Systems theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Vibration. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Systems Theory, Control. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Robotics and Automation. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Vibration, Dynamical Systems, Control. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Guay, M. |
| Relator term | author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9789400725201 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Intelligent Systems, Control and Automation: Science and Engineering ; |
| Volume number/sequential designation | 55 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-94-007-2521-8 |
| 912 ## - | |
| -- | ZDB-2-ENG |
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