Title :
Robustness bounds for LQ regulators
Author :
Neto, Alexandre Trofino ; Dion, Jean Michel ; Dugard, Luc
Author_Institution :
Lab. d´´Autom. de Grenoble, St. Martin d´´Heres, France
fDate :
9/1/1992 12:00:00 AM
Abstract :
A robustification procedure for LQ state feedback design is presented. Such a procedure consists of choosing the state and input weighting matrices according to the kind of uncertainties on the system. Both structured and norm-bounded additive uncertainties are addressed, and upper bounds for the uncertainties that do not destabilize the closed-loop system are presented. Connections with the quadratic stabilizability problem are established
Keywords :
closed loop systems; feedback; matrix algebra; optimal control; stability; LQ regulators; LQ state feedback; closed-loop system; input weighting matrices; norm-bounded additive uncertainties; optimal control; quadratic stabilizability; robustification procedure; structured uncertainties; Automatic control; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov method; Regulators; Riccati equations; Robust control; Robustness; State feedback; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
