Penerapan Kontrol Optimal Dalam Masalah Peminimumam Energi Yang Terbuang Pada Suatu Rangkaian Listrik

Abstract

The Optimal Control Problem frequently rise in rela program. In this article is analyzed the minimization of energy dissipated in a resistor component r (r = value of resistance) of electrical circuit which consist of one component r, one capasitor c (c = value of capasitance) which connected by current i(t) and voltage source v(t). If v(0) = v₀ dan v(t₁) = v₁ then the control system models for the problem is v = ; with i(t) as a control. Performance functional for energy dissipated in the resistor r over the interval 0£t£t₁ is ______________. In order energy dissipated in the resistor r minimum, so the control is i(t)=i₀(t)=+(c/t₁)(v₁-v₀)(constant). Then, if the circuit as an energy stored device and f v(0)=0 the it can be determinated. Efficiency rate  (Ratio of the the energy stored over the energy delivered) in this circuit is