Title :
Singular control of linear-discrete systems
Author :
Tzyh-Jong Tarn ; Rao, Sudhakara Kumblekere ; Zaborszky, John
Author_Institution :
Washington University, St. Louis, MO, USA
fDate :
10/1/1971 12:00:00 AM
Abstract :
This paper introduces a meaningful singular optimal control for a time-invariant linear-discrete system. The complex structures of the singular arc are studied in detail. Existence, uniqueness, and optimality are proved. A necessary and sufficient condition for the nonexistence of singular arc for linear-discrete systems is given along with a sufficient condition for its existence.
Keywords :
Linear systems, time-invariant discrete-time; Singular optimal control; Automatic control; Continuous time systems; Control systems; Fuel economy; Jacobian matrices; Nonlinear control systems; Power generation economics; Rockets; Sufficient conditions; Systems engineering and theory;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1971.1099771