Title :
Rejection of persistent ℒ∞-bounded disturbances for nonlinear systems
Author_Institution :
IBM Corp., San Jose, CA, USA
fDate :
12/1/1998 12:00:00 AM
Abstract :
A nonlinear L1-control problem, which deals with the rejection of persistent bounded disturbances for nonlinear systems, is investigated. The concept of invariance plays an important role in the L1-performance analysis and synthesis. The main idea is to construct an invariant subset in the state space such that achieving disturbance rejection is equivalent to restricting the state dynamics to the subset. The relation between the L1-control of a continuous-time system and the l1 -control of its Euler approximated discrete-time system is established
Keywords :
continuous time systems; discrete time systems; invariance; minimax techniques; nonlinear systems; optimal control; robust control; state-space methods; bounded disturbances; continuous-time system; discrete-time system; disturbance rejection; invariance; minimax technique; nonlinear systems; optimal control; robust control; state dynamics; state space; Control systems; Linear systems; Minimax techniques; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Piecewise linear approximation; Robust control; State feedback; State-space methods;
Journal_Title :
Automatic Control, IEEE Transactions on
