Control of transients in “lethargic” systems

High-Speed Switch-On of a Semiconductor Gas Discharge Image Converter Using Optimal Control Methods

“…The results obtained can be used in applications of semiconductor gas discharge devices, such as fast converters of infrared images [15,18], and in the development of pulse sources of light, e.g., of ultraviolet excimer microdischarge lamps [13]. We indicate that the dynamical systems considered here and in [10][11][12] can be transformed into the same type of Lotka-Volterra system by an appropriate scaling of the state and time variables. Thus we may hope to apply the optimal control methods of the present paper also to the problems considered in [10][11][12].…”

“…We indicate that the dynamical systems considered here and in [10][11][12] can be transformed into the same type of Lotka-Volterra system by an appropriate scaling of the state and time variables. Thus we may hope to apply the optimal control methods of the present paper also to the problems considered in [10][11][12]. This may eventually lead to a further refinement of results obtained in the cited papers.…”

“…The feeding voltage is taken as the control function. The basic idea of our research is closely related to the work of Lippi et al [10][11][12], in which steering schemes of a gas discharge pulse CO 2 laser which improve the transient time dramatically are developed. Although these control strategies are not derived on the basis of optimal control theory, they expose some characteristic features of optimal bang-bang controls.…”

“…Many applications, e.g., pulse lasers in technology and optical communication, require a stable and controllable operation of devices. Lippi et al [10][11][12] have suggested a method for controlling gas discharge CO 2 and semiconductor lasers to suppress oscillations in the emitted power of transient modes and to shorten the time lag in a pulse. To reach these goals, they use a simplified dynamical model for the considered laser, namely, a two-component Lotka-Volterra system.…”

“…Here, we deal with a different device and, therefore, with equations different from those in [10][11][12]. In the resulting optimal control model, we compute optimal control functions for a variety of parameters and constraints.…”