Sensitivity Conditioning: Beyond Singular Perturbation for Control Design on Multiple Time Scales

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....

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Veröffentlicht in:IEEE transactions on automatic control Jg. 68; H. 4; S. 2309 - 2324
Hauptverfasser: Picallo, Miguel, Bolognani, Saverio, Dorfler, Florian
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York IEEE 01.04.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Bilevel optimization
Cascade control
Control design
Controllers
Design optimization
Interconnected systems
nonlinear control design
Optimization
Perturbation methods
Power system dynamics
Power system stability
Singular perturbation
Stability analysis
Steady-state
Subsystems
Time
time-scale separation
ISSN:0018-9286, 1558-2523
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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.
AbstractList 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.
Author Bolognani, Saverio
Picallo, Miguel
Dorfler, Florian
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  surname: Dorfler
  fullname: Dorfler, Florian
  email: dorfler@ethz.ch
  organization: Automatic Control Laboratory, ETH Zürich, Zurich, Switzerland
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SubjectTerms Bilevel optimization
Cascade control
Control design
Controllers
Design optimization
Interconnected systems
nonlinear control design
Optimization
Perturbation methods
Power system dynamics
Power system stability
Singular perturbation
Stability analysis
Steady-state
Subsystems
Time
time-scale separation
Title Sensitivity Conditioning: Beyond Singular Perturbation for Control Design on Multiple Time Scales
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