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

This quantity comprises the complaints of ADHS'06: the second IFAC convention on research and layout of Hybrid structures, prepared in Alghero (Italy) on June 7-9, 2006. ADHS is a chain of triennial conferences that goals to compile researchers and practitioners with a heritage up to speed and machine technological know-how to supply a survey of the advances within the box of hybrid structures, and in their skill to absorb the problem of study, layout and verification of effective and trustworthy keep an eye on structures. ADHS'06 is the second one convention of this sequence after ADHS'03 in Saint Malo.

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K). i i upper bound on sampling period. The purpose of the Sampling theorem presented here is to preserve reachability conditions (in particular nonnegativity of markings), not to reconstruct the original signal from the sampled one. ( 1 - - E ih=l/3h,1)rn+ ( E h = l ~h,l -- E h = l ~h,~,) rnl + --1 ~h,j) frtj--l-JF • ""-F (Eh=l ~h,j--1 -- E h=l i i i--1 i--1 i i--1 ( E h = l /~h,n--l -- E h = l /~h,k) gYtk--l-JF (Eih=l ~ h , n ) m k The reachability space of the sampled system is studied in the last part of the paper and some relations between this space and the space of the underlying untimed contPN are provided.

2. For simplicity, choose Q - 14×4 and R - I5×5 for the low-gain design. For the high-gain term, any positive 1 can guarantee the tracking convergence. Generally, smaller 1 will lead to slower system response. However, due to the existence of input saturation, when 1 is sufficiently large, the system responses have little difference by further increasing 1. In our simulation, we choose 1 - 10. , M. Pachter and S. B a n d a (1998). Toward improvement of tracking performance - nonlinear feedback for linear systems.

From (2) and (4), we have md- To simplify the design procedure, in the proposed algorithm, 6 will be designed first. Its design will be given in next Section. Now let us discuss how to calculate h for a given 6. According to (8) and (10), the constraints for h can be rewritten as 0 ' 1 (14) 33 (18) H B . According and considering the first rows of leads to el - 0. 2 Design of the parameters 6 and 7 From the definition of e and H, we have ~1(0) y ( m d , ~ - m~ (0)). As y m d = ym(0), ~ (0) = 0 can be obtained.

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