University of Groningen
Distributed Linear Quadratic Control and Filtering
Jiao, Junjie
DOI:
10.33612/diss.135590405
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Publication date: 2020
Link to publication in University of Groningen/UMCG research database
Citation for published version (APA):
Jiao, J. (2020). Distributed Linear Quadratic Control and Filtering: a suboptimality approach. University of Groningen. https://doi.org/10.33612/diss.135590405
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Propositions
belonging to the thesis entitled
Distributed Linear Quadratic
Control and Filtering:
a suboptimality approach by
Junjie Jiao
1. In distributed linear quadratic (LQ) control and filtering problems, the set of controllers or filters over which a given cost functional needs to be minimized is a non-convex set. These problems are therefore non-convex optimization problems.
2. It is in general very difficult to find closed form optimal solutions for distributed LQ filtering and control problems. Easily and quickly com-putable suboptimal solutions to these problems are often more useful than optimal solutions that take a long time to be produced.
3. In distributed LQ control and filtering problems, computation of optimal and suboptimal gains needs global information, namely, eigenvalues of the Laplacian matrix and the initial state of the network.
4. It is often convenient to transform distributed control or filtering prob-lems for large-scale multi-agent systems into simultaneous control or filtering problems for a number of low-dimensional systems.
5. It would be very interesting to examine the performance of the dis-tributed suboptimal controllers and filters proposed in this dissertation in real life applications.
6. The best time to plant a tree was 20 years ago. The second best time
is now. Chinese Proverb
