Title :
A new lower bound on the cost of optimal regulators
Author_Institution :
University of California Santa Barbara, Santa Barbara, CA, USA
fDate :
4/1/1979 12:00:00 AM
Abstract :
A new lower bound on the quadratic cost of linear regulators is derived using some recently established results on norm bounds for the algebraic matrix Riccati and Lyapunov equations. The bound thus obtained is very attractive computationally and is independent of the initial conditions.
Keywords :
Algebraic Riccati equation (ARE); Linear systems, time-invariant continuous-time; Lyapunov matrix equations; Optimal regulators; Riccati equations, algebraic; Suboptimal control; Automatic control; Circuits and systems; Control systems; Controllability; Cost function; Linear systems; Null space; Regulators; Riccati equations; Space technology;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1979.1102020
