화학공학소재연구정보센터
Automatica, Vol.33, No.3, 447-452, 1997
Cost Smoothing in Discrete-Time Linear-Quadratic Control
A smooth cost distribution can be a desirable feature in optimal control design when concerning even distribution of control energy and uniform resource allocation. This consideration is formulated in this paper for discrete-time linear systems where a square cost-variation term is attached to a primal quadratic performance index in an additive form. An analytical control law is obtained for the resulting non-linear-quadratic and nonseparable optimal control problem using a multilevel solution scheme. Investigating the trade-off between minimizing the primal quadratic performance index and minimizing the square cost-variation term offers some useful insights into multiobjective design of control systems.