2019/03/21 by Soumya Kundu, Wei Du, Kundu, Soumya +6
Computer Science · Engineering · #Dynamical Systems (math.DS) #FOS: Mathematics #Interconnection Networks and Systems #Low-power high-performance VLSI design #Microgrid Control and Optimization #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1903.09145
openalex publication_date 2019/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
As modern engineering systems grow in complexity, attitudes toward a modular\ndesign approach become increasingly more favorable. A key challenge to a\nmodular design approach is the certification of robust stability under\nuncertainties in the rest of the network. In this paper, we consider the\nproblem of identifying the parametric region, which guarantees stability of the\nconnected module in the robust sense under uncertainties. We derive the\nconditions under which the robust stability of the connected module is\nguaranteed for some values of the design parameters, and present a\nsum-of-squares (SOS) optimization-based algorithm to identify such a parametric\nregion for polynomial systems. Using the example of an inverter-based\nmicrogrid, we show how this parametric region changes with variations in the\nlevel of uncertainties in the network.\n