Deadbeat Control by Pole Assignment using State Feed-back Linearization of LV Agent Model

Abstract

By considering the Lotka-Volterra polynomial model (LV agent model), which is known as a prey-predator model, as an agent model that grows or shrinks in proportion to the density product, we attempted to manage the autonomous periodic solution of the encounter-decreasing agent in a better coexistence state. Next, some case-studies are considered how to manage the autonomous periodic solutions of agents with decreasing encounters in a better coexistence state. First, we manage the center shift and amplitude reduction by switching the encounter rate parameter in the discrete model and manage the timing for dead-beat control (finite settling control) of the priority coexistence of encounter-decreasing agents by feedback linearization.