Consensus of positive real systems cascaded with a single integrator

Kwang‐Kyo Oh, Fadel M. Lashhab, Kevin L. Moore, Tyrone L. Vincent, Hyo‐Sung Ahn · International Journal of Robust and Nonlinear Control · 2013

Summary We study output consensus in a network of interconnected non‐identical positive real systems cascaded with a single integrator. Assuming undirected, diffusive interconnections, sufficient conditions are provided to ensure output consensus for two cases: (i) the individual systems are weakly strictly positive real systems cascaded with a single integrator, and (ii) the individual systems are positive real systems cascaded with a single integrator. We illustrate our results with the example of a load frequency control network of synchronous generators. Copyright © 2013 John Wiley & Sons, Ltd.

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