New Development in Quadratic L2 Performance of Switched Uncertain Stochastic Systems
Autor: | Yufang Chang, Guisheng Zhai, Lianglin Xiong, Bo Fu |
---|---|
Rok vydání: | 2022 |
Předmět: |
Computer Networks and Communications
Hardware and Architecture Control and Systems Engineering Signal Processing Electrical and Electronic Engineering switched uncertain stochastic systems (SUSS) state-dependent switching laws norm-bounded uncertainties global quadratic ℒ2 performance γ in probability (GQℒ2(γ)-P) convex combination linear matrix inequalities (LMIs) |
Zdroj: | Electronics; Volume 11; Issue 13; Pages: 1963 |
ISSN: | 2079-9292 |
DOI: | 10.3390/electronics11131963 |
Popis: | Global quadratic stability and L2 performance in probability (quadratic stability and L2 gain γ in probability: abbreviated as GQL2(γ)-P) is studied for switched systems consisting of linear stochastic subsystems with norm-bounded uncertainties. Under the assumption that there is no single subsystem achieving GQL2(γ)-P, it is shown that if there exists a convex combination of subsystems achieving GQL2(γ)-P, then a state-dependent switching law, based on the convex combination of subsystems, is proposed under which the switched system achieves GQL2(γ)-P. Then, the discussion is extended to the case involving state feedback controller gain. A numerical example and the application to DC–DC boost converters are provided to demonstrate the proposed design condition and the algorithm. |
Databáze: | OpenAIRE |
Externí odkaz: |