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Hybrid Petri Nets are suitable to model and control significant classes of large-scale systems, such as manufacturing processes and transportation networks, which can have the structure of hybrid systems. A hybrid Petri net (HPN) is a combination of a ‘classical’ Petri net and a continuous Petri net, the ‘fluid’ version of a timed Petri net. In the proposed model, the discrete part of the HPN ‘regulates’...
When approximating dynamic systems with Laguerre Basis Functions it is important to tune the Laguerre pole such that the expansion is both parsimonious and accurate. The sum of squared error (SSE) objective function has many local minima and therefore cannot be optimized directly. Two alternative objective functions have been proposed in the literature: an asymptotically optimal objective function,...
Stochastic distribution control systems aims at the controller design so as to realize a shape control of the distributions of certain random variables in the process. Once the probability density functions (PDFs) of these variables are used to describe their distributions, the control task is to obtain control signals so that the output PFDs of the system are made to follow their target PDFs. In...
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