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Feedback Stability Analysis via Frequency Dependent Constraints
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AI
DOI：10.1109/TAC.2024.3457432.png)
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Abstract
En 中文
We establish robust stability of feedback interconnections of linear time-invariant systems with potentially marginally stable open-loop poles via frequency-varying quadratic constraints. These constraints may be used to characterise numerous system properties, such as small-gain, passivity, negative imaginariness, and their weighted variants, that are manifested on different band-limited frequencies. Such systems arise in practical mechanical settings where force actuators and displacement/velocity sensors are not colocated. We demonstrate that frequency-limited system properties may be characterised using the powerful Iwasaki-Hara lemma in terms of convex feasibility problems involving linear matrix inequalities, thereby complementing the utility of the Iwasaki-Hara lemma for robust feedback stability analysis involving mixed system properties on the frequency axis.
Keywords:
Stability criteria
Transfer functions
Linear systems
Time-frequency analysis
Sensor phenomena and characterization
Mechanical sensors
Linear matrix inequalities
Feedback stability
frequency dependent inequalities
integral quadratic constraints (IQCs)
Iwasaki-Hara lemma
Journal
IF:
7
Papers:
1.3W
Citations:
6.7W