By Philippe Baufreton (auth.), Frits W. Vaandrager, Jan H. van Schuppen (eds.)
This quantity includes the complaints of the second one foreign Workshop on Hybrid structures: Computation and keep watch over (HSCC’99) to be held March 29- 31, 1999, within the village Berg en Dal close to Nijmegen, The Netherlands. The rst workshop of this sequence was once held in April 1998 on the collage of California at Berkeley. The sequence follows conferences that have been initiated by means of Anil Nerode at Cornell collage. The lawsuits of these conferences have been released within the Springer-Verlag LNCS sequence, Volumes 736, 999, 1066, 1201, and 1273. The p- ceedings of the rst workshop of the recent sequence used to be released in LNCS 1386. the focal point of the workshop is on modeling, keep an eye on, synthesis, layout, and ve- cation of hybrid structures. A hybrid process is a theoretical version for a working laptop or computer managed engineering process, with a dynamics that evolves either in a discrete nation set and in a relatives of continuing nation areas. learn is stimulated through, for instance, keep watch over of electro-mechanical platforms (robots), air tra c keep watch over, regulate of computerized freeways, and chemical strategy keep an eye on. The rising - seek quarter of hybrid structures overlaps either with machine technological know-how and with keep watch over idea. The interplay among researchers from those elds is predicted to be fruitfull for the improvement of the world of hybrid systems.
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Extra info for Hybrid Systems: Computation and Control: Second International Workshop, HSCC’99 Berg en Dal, The Netherlands, March 29–31, 1999 Proceedings
14 ] , and z = [z1 , z2 , z3 ] . 45 Table 3. 1 MLD Translation & HYSDEL List The system described above is translated into the MLD form (1) by using the language HYSDEL (HYbrid System DEscription Language) currently developed at the Automatic Control Lab, ETH Z¨ urich. The description of the system in HYSDEL is reported in Table 4. The HYSDEL compiler automatically generates the matrices of the system. The sparsity is reported in Table 3. The number of constraints in (1c) is 59. 00000. The rectangular approximations Xih (0) in the (f, h) plane are shown in Fig.
7 Conclusions In this paper we have presented a novel approach to the verification of hybrid systems. It is based on linear/mixed-integer linear optimization and relies on the modeling formalism introduced in . Computational feasibility of the approach has been shown in a non-trivial case study. Future research will be devoted to examine different inner/outer approximation techniques, iterative approximation of the reach sets, and improving the efficiency of the computer codes used to test the proposed algorithms.
The method proposed in  uses symbolic computation, can handle a wide class of verification problems, but requires approximation of the dynamics and is computationally expensive. In , there is no approximation of the dynamics, but the author uses parallelotopic approx- 44 Alberto Bemporad and Manfred Morari (a) d(t) ≡ 1. (b) d(t) ≡ −1 Fig. 5. Worst-case simulation with step disturbances d(t) (thin line: f (t); thick line: h(t)). imations of the reach sets in order to compute the solution of the verification problem.