Distributed Time-Varying Quadratic Optimal Resource Allocation Subject to Nonidentical Time-Varying Hessians With Application to Multiquadrotor Hose Transportation
- Award ID(s):
- 2129949
- NSF-PAR ID:
- 10393653
- Date Published:
- Journal Name:
- IEEE Transactions on Systems, Man, and Cybernetics: Systems
- Volume:
- 52
- Issue:
- 10
- ISSN:
- 2168-2216
- Page Range / eLocation ID:
- 6109 to 6119
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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Summary This article presents a dissipativity approach for robustness analysis using the framework of integral quadratic constraints (IQCs). The derived results apply for linear time‐varying nominal systems with uncertain initial conditions. IQC multipliers are used to describe the sets of allowable uncertainty operators, and signal IQC multipliers are used to describe the sets of allowable disturbance signals. The novel concepts of dichotomic nodes and their corresponding factorizations are introduced, which allow for the aforementioned multipliers to be general time‐varying operators. The results are illustrated via the robustness analysis of a flight controller for an unmanned aircraft system tasked to perform a Split‐S maneuver.