New Development in Quadratic L2 Performance of Switched Uncertain Stochastic Systems

Autor: Yufang Chang, Guisheng Zhai, Lianglin Xiong, Bo Fu
Rok vydání: 2022
Předmět:
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