Optimizing the Kreiss Constant
| Autor: | Pierre Apkarian, Dominikus Noll |
|---|---|
| Přispěvatelé: | ONERA / DTIS, Université de Toulouse [Toulouse], ONERA-PRES Université de Toulouse |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization 0211 other engineering and technologies 02 engineering and technology [SPI]Engineering Sciences [physics] Matrix (mathematics) 020901 industrial engineering & automation FOS: Mathematics mixed uncertainty [INFO]Computer Science [cs] [MATH]Mathematics [math] µ-analysis Mathematics - Optimization and Control structured controller Mathematics [PHYS]Physics [physics] 021103 operations research non-normal behavior Applied Mathematics Mathematical analysis Unwarranted large transients nonsmooth optimization Optimization and Control (math.OC) NP-hard problem Transient (oscillation) Constant (mathematics) |
| Zdroj: | SIAM Journal on Control and Optimization SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2020, 58 (6), pp.3342-3362. ⟨10.1137/19M1296215⟩ |
| ISSN: | 0363-0129 1095-7138 |
| DOI: | 10.1137/19M1296215⟩ |
| Popis: | The Kreiss constant $K(A)$ of a stable matrix $A$ conveys information about the transient behavior of system trajectories in response to initial conditions. We present an efficient way to compute the Kreiss constant $K(A)$, and we show how feedback can be employed to make the Kreiss constant $K(A_{cl})$ in closed loop significantly smaller. This is expected to reduce transients in the closed loop trajectories. The proposed approached is compared to potential competing techniques. 18 pages, 7 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|