Modal control of a class of production-inventory systems

In this paper the problem of synthesizing control policies that ensure a good steady-state behaviour for single-input time-invariant continuous time production-inventory systems is treated. The synthesis procedure is based on modal control theory, [1], which involves generation of the input vector of a system by linear feedback of the state vector so that the eigenvalues of the closed-loop system are assigned prescribed values. The state equation of the system describes the development of inventory, work-load queue and production rate over time. The amount of initiated orders or production-order rate is used as control variable. Various aspects of the realization of the appropriate control law are discussed.