New Development in Quadratic L2 Performance of Switched Uncertain Stochastic Systems

Yufang Chang, Guisheng Zhai, Lianglin Xiong, Bo Fu
2022 Electronics  
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
more » ... roposed 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.
doi:10.3390/electronics11131963 fatcat:br6cgrgfejdtjmnvggntc3vmeu