Controller and Network Design Exploiting System Structure.

Intro -- 1 Introduction -- 1.1 Motivation -- 1.2 Contribution and Outline of this Thesis -- 2 Sparsity Promoting Optimization -- 2.1 Sparsity Measures and Their Use in Optimization -- 2.2 Block Sparsity and Pattern Operator -- 3 Decentralized Control of Interconnected Systems -- 3.1 Overview -- 3.2 Interconnected Systems -- 3.3 State Feedback -- 3.4 Static Output Feedback -- 3.5 Dynamic Output Feedback -- 3.6 Application Example: Wide Area Control of Power Systems -- 3.7 Summary -- 4 Sparse Topology Design for Dynamical Networks -- 4.1 Overview -- 4.2 Review of Models for Consensus and Relative Sensing Networks -- 4.3 Synthesis of Consensus Networks -- 4.4 Synthesis of Sparse Relative Sensing Networks -- 4.5 Summary -- 5 ℓ0-Gain and ℓ1-Optimal Control -- 5.1 Overview -- 5.2 The ℓ0-System Gain -- 5.3 The ℓ0-Optimal Control Problem -- 5.4 Lagrangian Relaxation of the ℓ0-Optimal Control Problem -- 5.5 The ℓ1-Optimal Control Problem -- 5.6 Summary -- 6 Conclusion -- 6.1 Summary -- 6.2 Outlook -- A Auxiliary Results -- B Signal and Operator Norms -- C Graph Theory.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.