On the existence of the optimal control for linear uncontrollable systems
Tóm tắt
The optimal control of time-invariant, uncontrollable linear systems with respect to an integral quadratic performance index over an infinite time interval is considered. It is proved that the asymptotic stability of the uncontrollable part of the system is a necessary and sufficient condition for the existence of the solution.
Tài liệu tham khảo
Athans, M., andFalb, P. L.,Optimal Control, McGraw-Hill Book Company, New York, 1966.
Gilbert, E. G.,Controllability and Observability in Multivariable Control Systems, SIAM Journal on Control, Vol. 1, No. 2, 1963.