Title :
On Constructing Constrained Control Lyapunov Functions for Linear Systems
Author :
Mahmood, Maaz ; Mhaskar, Prashant
Author_Institution :
Dept. of Chem. Eng., McMaster Univ., Hamilton, ON, Canada
fDate :
5/1/2011 12:00:00 AM
Abstract :
This works considers the problem of control of linear systems with input constraints. The notion of control Lyapunov functions (CLFs) is first generalized and relaxed to define a constrained control Lyapunov function (CCLF) and a constructive procedure for CCLF is subsequently presented.
Keywords :
Lyapunov methods; linear systems; CCLF; constrained control Lyapunov function; linear system; Level set; Linear systems; Lyapunov method; Stability analysis; Symmetric matrices; Trajectory; Constrained control Lyapunov function (CCLF); control Lyapunov functions (CLF);
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2114470