The physical modelling and simulation of systems with inherent uncertainty still poses significant issues when using Modelica and its tools. At present, both language and tools are fundamentally deterministic and offer limited support for handling uncertainty; this limits the scope of using Modelica in certain domains, e.g. feedback control systems. We propose a framework for incorporating uncertainty in Modelica simulation and analysis tasks. We do this by coupling a Modelica model with exogenous stochastic models. Finally, we apply this approach to the domain of building modelling.
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