Nonlinear Feedback Types in Impulse and Fast Control
نویسندگان
چکیده
It is well-known that a system with linear structure subjected to bounded control inputs for optimal closed-loop control yields nonlinear feedback of discontinuous bang-bang type. This paper investigates new types of nonlinear feedback in the case of optimal impulsive closedloop control which may naturally generate discontinuous trajectories. The realization of such feedback under impulsive inputs that are allowed to use δ-functions with their higher derivatives requires physically realizable approximations. Described in this paper is a new class of realizable feedback inputs that also allows to produce smooth approximation of controls. Such approach also applies to problems in micro time scales that require so-called fast or ultra-fast controls.
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