Sensitivity-conditioning: Beyond Singular Perturbation for Control Design on Multiple Time Scales
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Date
2023-04
Publication Type
Journal Article
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yes
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Abstract
A classical approach to design controllers for interconnected systems is to assume that the different subsystems operate at different time scales, then design simpler controllers within each time scale, and finally certify stability of the interconnected system via singular perturbation analysis. In this work, we propose an alternative approach that also allows to design the controllers of the individual subsystems separately. However, instead of requiring a sufficiently large time-scale separation, our approach consists of adding a feed-forward term to modify the dynamics of faster systems in order to anticipate the dynamics of slower ones. We present several examples in bilevel optimization and cascade control design, where our approach improves the performance of currently available methods.
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published
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Journal / series
Volume
68 (4)
Pages / Article No.
2309 - 2324
Publisher
IEEE
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Software
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Subject
Bilevel optimization; cascade control; interconnected systems; nonlinear control design; singular perturbation; time-scale separation
Organisational unit
09478 - Dörfler, Florian / Dörfler, Florian