Robust performance of networks of interconnected heterogenous nonlinear dynamic systems is studied using the theory of integral quadratic constraints. By appealing to recent results on chordal sparsity decompositions of rational transfer matrices, distributed and scalable certificates for performance of interconnections are proposed. The approach is more direct since it does not involve reformulating the problem in terms of standard closed-loop configurations as is typical in the literature, which may destroy or conceal the structural properties inherent in the interconnections. The well-studied notion of feedback performance is reinvestigated within this framework. It is shown that feedback performance can be verified in a distributed fashion if the signal variables in the feedback interconnection are selected appropriately. Another contribution of the paper lies in identifying three chordality-preserving operations that are standard in control and modelling theory, namely local feedback, feedforward, and additive input-output perturbations.
|Title of host publication
|ACC 2015 - 2015 American Control Conference
|Institute of Electrical and Electronics Engineers Inc.
|Number of pages
|Published - Jul 28 2015
|2015 American Control Conference, ACC 2015 - Chicago, United States
Duration: Jul 1 2015 → Jul 3 2015
|Proceedings of the American Control Conference
|2015 American Control Conference, ACC 2015
|7/1/15 → 7/3/15
Bibliographical notePublisher Copyright:
© 2015 American Automatic Control Council.
- Distributed robustness analysis
- chordal graphs
- integral quadratic constraints