Differential games: A pole placement approach

In this paper we present a systematic procedure for pole placement in full state feedback dynamical systems with multiple objectives. It is shown that pole placement in multi-objective systems expands the design domain and allows additional design criteria to be imposed on the system. Several criteria are suggested and a criterion that minimizes the maximum overshoot experienced by the system is developed. An illustrative example is presented to demonstrate (i) the pole placement procedure and (ii) the improvements that are achievable with multi-objective systems as opposed to single objective systems.