Analysis and Design of Hybrid Systems 2006: A Proceedings by Christos Cassandras, Alessandro Giua, Carla Seatzu, Janan

By Christos Cassandras, Alessandro Giua, Carla Seatzu, Janan Zaytoon

This quantity includes the court cases of ADHS'06: the 2d IFAC convention on research and layout of Hybrid structures, prepared in Alghero (Italy) on June 7-9, 2006. ADHS is a sequence of triennial conferences that goals to assemble researchers and practitioners with a historical past up to speed and laptop technological know-how to supply a survey of the advances within the box of hybrid structures, and in their skill to soak up the problem of study, layout and verification of effective and trustworthy keep an eye on platforms. ADHS'06 is the second one convention of this sequence after ADHS'03 in Saint Malo.

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Extra info for Analysis and Design of Hybrid Systems 2006: A Proceedings volume from the 2nd IFAC Conference, Alghero, Italy, 7-9 June 2006 (IPV - IFAC Proceedings volume)

Example text

Let us consider the net system in Fig. 1 with A - [5, 1]T. It is ruled by the following set of systems of the form (5)" 0, otherwise. • /r~l" ~ m(T) m(T) This is a particular hybrid system: a piecewise linear system with a u t o n o m o u s switches and dynamic (or state-based) constraints in the input. if (gin E Rk) Pre(pi, tj ) ' mi = rain { IIk(tj,pi)= (4) m E R2: lO 1° 1 m ( z ) - -1 -10 ~ 2 100 00 1] 1--1 U(T) --1 1o O < u(T) < U(7) 1 I m(~) 2 __5 ~ 1] 1--1 1 m(7) 10 1 II ~t(w) = mER3" 1 These partitions are disjoint except possibly on the borders.

P {0, 1, e} where e is the unobservable output, 0 indicates that the flight plan memorized in the F M S is equal to the flight plan memorized on the F D P S ( S A F M s -SAFDpS), and 1 indicates that they are not equal (SAFMs ¢ SAFDPS); SA stays for SituatiOn Awareness. E, r/are defined according to the automaton in Figure 1; H is the transition probability matrix defined according to ATM statistics, which are usually estimated by airlines companies and ATM research centers. In this analysis, we do not assign numerical values t o / / i j since our aim here is to illustrate how the methodology proposed in the previous section can be applied to our case study.

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