Title :
Lyapunov steepest descent control of constrained linear systems
Author :
Grantham, Walter J. ; Chingcuanco, Alfredo O.
Author_Institution :
Washington State University, Pullman, WA, USA
fDate :
8/1/1984 12:00:00 AM
Abstract :
A Lyapunov sufficiency condition is developed for steepest descent controls to yield global asymptotic stability of the origin in constrained linear systems. The results are applied to a previous counterexample for "optimal-aim" control. Using the more flexible Lyapunov steepest descent approach, global asymptotic stability is achieved, where optimal-aim control produced instability.
Keywords :
Asymptotic stability, linear systems; Lyapunov methods, linear systems; Optimal control, linear systems; Adaptive control; Algorithm design and analysis; Area measurement; Asymptotic stability; Control systems; Linear systems; Optimal control; Output feedback; Performance analysis; Three-term control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1984.1103628