Energy-optimal current distribution in a complex linear electrical network with pulse or periodic voltage and current signals. Suboptimal control

摘要

In the circuits of electrical signals belonging to the L~1-impulses space or periodic signals space, occurring there real distribution of electrical currents does not meet the principle of minimum energy losses, The solution to this problem is to introduce the control system as current-dependent voltage sources vector, entered into a meshes set of a complex RLC network. It has been shown that the control is energy-neutral (optimal control). For energy-optimal controlling, to obtain the control operator, the inversion of R(s) operator is required. It is the matrix operator and the dispersive operator (it depends on frequency). Inversion of such operators is inconvenient because it is algorithmically complicated. To avoid this, the operator R(s) is replaced by the R' operator which is a matrix, but nondispersive one (does not depend on s). Such control is called the suboptimal control.