000 05149nam a22005055i 4500
001 978-94-007-2521-8
003 DE-He213
005 20140220083341.0
007 cr nn 008mamaa
008 110930s2012 ne | s |||| 0|eng d
020 _a9789400725218
_9978-94-007-2521-8
024 7 _a10.1007/978-94-007-2521-8
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aTEC004000
_2bisacsh
082 0 4 _a519
_223
100 1 _aLabinaz, G.
_eauthor.
245 1 0 _aViability of Hybrid Systems
_h[electronic resource] :
_bA Controllability Operator Approach /
_cby G. Labinaz, M. Guay.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2012.
300 _aX, 246 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aIntelligent Systems, Control and Automation: Science and Engineering ;
_v55
505 0 _a1 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 _aThe 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 _aMathematics.
650 0 _aSystems theory.
650 0 _aVibration.
650 1 4 _aMathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aRobotics and Automation.
650 2 4 _aVibration, Dynamical Systems, Control.
700 1 _aGuay, M.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789400725201
830 0 _aIntelligent Systems, Control and Automation: Science and Engineering ;
_v55
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-2521-8
912 _aZDB-2-ENG
999 _c104501
_d104501