A mixed-Boolean hybrid mathematical model with discontinuous states

Margetts, Rebecca (2017) A mixed-Boolean hybrid mathematical model with discontinuous states. In: IFAC 2017 World Congress: The 20th World Congress of the International Federation of Automatic Control, 9-14 July 2017, Toulouse, France.

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Item Type:Conference or Workshop contribution (Paper)
Item Status:Live Archive


Hybrid mathematical models typically have discontinuous inputs, or are visualised as state machines or pertri-nets comprising continuous models linked by discontinuous mappings. The analysis and simulation of hybrid (or nonsmooth dynamical) models is plagued with difficulty, necessitating careful consideration of energy losses and state reinitialisation on commutation. The author proposes and alternative model, where states are discontinuous. The engineer familiar with techniques such as signal flow graphs or bond graphs can clearly visualise discontinuities as breaks (or joins) in power flow between parts of the model. A mixed-Boolean state equation can be derived which reflects the physics of switching behaviour. This has two advantages: it can be simulated without the need for state reinitialisation algorithms, and it can be analysed for structural control properties to show how they change with commutation.

Keywords:Hybrid and switched systems modeling; Discrete event modeling and simulation; Stability and stabilization of hybrid systems
Subjects:H Engineering > H660 Control Systems
H Engineering > H730 Mechatronics
G Mathematical and Computer Sciences > G150 Mathematical Modelling
H Engineering > H310 Dynamics
H Engineering > H650 Systems Engineering
Divisions:College of Science > School of Engineering
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Relation typeTarget identifier
ID Code:28752
Deposited On:02 Oct 2017 13:12

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