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INDEFINITE STOCHASTIC LQ CONTROL WITH CROSS TERM VIA SEMIDEFINITE PROGRAMMING
Luo, Chengxin,Feng, Enmin 한국전산응용수학회 2003 Journal of applied mathematics & informatics Vol.13 No.1
An indefinite stochastic linear-quadratic(LQ) optimal control problem with cross term over an infinite time horizon is studied, allowing the weighting matrices to be indefinite. A systematic approach to the problem based on semidefinite programming (SDP) and .elated duality analysis is developed. Several implication relations among the SDP complementary duality, the existence of the solution to the generalized Riccati equation and the optimality of LQ problem are discussed. Based on these relations, a numerical procedure that provides a thorough treatment of the LQ problem via primal-dual SDP is given: it identifies a stabilizing optimal feedback control or determines the problem has no optimal solution. An example is provided to illustrate the results obtained.
Indefinite stochastic optimal LQR control with cross term under IQ constraints
Chengxin Luo,Enmin Feng 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.15 No.-
A stochastic optimal LQR control problem under some integralquadratic (IQconstraints is studied, with cross terms in both the cost andthe constraint functionals, allowing all the control weighting matrices beingindenite. Sucient conditions for the well-posedness of this problem aregiven. When these conditions are satised, the optimal control is explicitlyderived via dual theory.
Hengxiao Man,Chengxin Wen,Wei Luo,Junjie Bian,Wanyuan Wang,Chunhu Li 한국공업화학회 2020 Journal of Industrial and Engineering Chemistry Vol.92 No.-
Marine Pollution Convention has been updated to prevent the excessive emissions from diesel machine. For high concentrated, largefluxed SO2 and NO photocatalytic oxidation, a novel dual stages oxidation-scrubbing process was proposed. The p–n junction ZnO-CuO/rGO ternary catalysts were prepared via theco-precipitation route and supported on reduced graphene oxide (rGO). The UV–vis spectra showed thatthe bandgap Eg of ZnO-CuO/rGO was notably narrowed to 2.3–2.6 eV for facilitating electron transfer, anditsflat band potential of was0.54 V versus Ag/AgCl. The PL spectra and photocurrent curves revealedthat the formation of heterojunctions and the introduction of graphene promoted an efficient separationof the photo-induced charge carriers. The photocatalytic activity of the ZnO-CuO/rGO with 5 wt% GO wasevaluated for simultaneous DeSOx and DeNOx, and 97% desulfurization rate and 64% denitration ratecould be reached under GHSV 2000 h 1 for 270 min. In seawater scrubber, ZnO-CuO/rGO(5%) additionmade SO32 conversion was 80.72%. The radical scavenging experiments demonstrated that holes (h+)and superoxide radicals ( O2 ) contributed most to SO32 photocatalytic oxidation. Kinetic studiesshowed that SO32 oxidation on ZnO-CuO/rGOfitted the L-H model. The mechanism of photocatalyticoxidation in gas and liquid phases were also proposed to address the reaction pathway.