Title :
Extension of a linear quadratic tracking algorithm include control constraints
Author :
Chan, Y.T. ; Maille, J.-P.
Author_Institution :
Royal Military College of Canada, Kingston, Ontario, Canada
fDate :
12/1/1975 12:00:00 AM
Abstract :
Pindyck\´s [1] algorithm is extended to include problems with magnitude constraints on the controls. The modification to the original solution involves only an additional term (containing the co-constraint vectors) each in the "tracking vector" and the optimal control. The co-contraint vectors are found by iteration using a gradient procedure.
Keywords :
Linear systems, time-invariant discrete-time; Optimal control; Tracking; Control systems; Eigenvalues and eigenfunctions; Iterative methods; Linear systems; Lyapunov method; Newton method; Optimal control; Polynomials; Riccati equations; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1101101