Thermodynamics and large-scale non-linear dynamical systems: A vector dissipative systems approach.
Recent technological demands have required the analysis and control design of increasingly complex, large-scale nonlinear dynamical systems. In analyzing these large- scale systems, it is often desirable to treat the overall system as a collection of intercon- nected subsystems. Solution properties of the large-scale system are then deduced from the solution properties of the individual subsystems and the nature of the system inter- connections. In this paper we develop an energy flow modeling framework for large-scale dynamical systems based on vector dissipativity notions. Specifically, using vector storage functions and vector supply rates, dissipativity properties of the composite large-scale sys- tem are shown to be determined from the dissipativity properties of the subsystems and their interconnections. Thermodynamic principles are also established using a large-scale systems perspective.
|Main Author:||Haddad, Wassim.|
|Other Authors:||Chellaboina, VijaySekhar., Nersesov, Sergey.|