Large-Scale Dissipative and Passive Control Systems in Symmetric Shapes
نویسندگان
چکیده
We study symmetries in the design of large-scale dissipative and passive control. In the framework of dissipativity and passivity theory, stability conditions for large-scale systems are derived by categorizing agents into symmetry groups and applying local control laws under limited interconnections with neighbors. We show that there exists an upper bound on the number of subsystems that can be added so to preserve stability of dissipative systems. Passivity results when delays are present are also derived. In cyclic, star-shaped and chain symmetric systems, the subsystems can be heterogeneous as long as they satisfy the same dissipative inequalities. Approximate symmetry with respect to interconnections are also considered and the robustness of the results is shown.
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