Abstract
This letter provides a characterization of linear passivizing input-output transformations for MIMO systems with known passivity indices. Building on recent results for SISO systems, we show that any transformation mapping an I/O ρ,ν -passive MIMO system to an I/O (ρ∗,ν∗) -passive system can be expressed as the product of three matrices - two depending on the original and desired passivity indices, and a matrix satisfying a matrix inequality. This parameterization enables formulation of optimal passivation problems that we explore as an application example.
| Original language | English |
|---|---|
| Pages (from-to) | 2733-2738 |
| Number of pages | 6 |
| Journal | IEEE Control Systems Letters |
| Volume | 8 |
| DOIs | |
| State | Published - 2024 |
Keywords
- Feedback passivation
- nonlinear systems
- passivity theory
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Control and Optimization
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