Title :
Attenuation of persistent ℒ∞-bounded disturbances for nonlinear systems
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
A version of nonlinear generalization of the L1-control problem, which deals with the attenuation of persistent bounded disturbances in L∞-sense, is investigated in this paper. The main idea in the L1-performance analysis and synthesis is to construct a certain invariant subset of the state-space such that achieving disturbance rejection is equivalent to restricting the state-dynamics to this set. In addition, the relation between the L1-control of a continuous time system and the l1 -control of its Euler approximated discrete-time systems is established
Keywords :
control system analysis; control system synthesis; nonlinear control systems; optimal control; stability; state-space methods; ℒ1-control problem; ℒ1-performance analysis; ℒ1-performance synthesis; Euler-approximated discrete-time systems; continuous-time system; disturbance rejection; l1-control; nonlinear systems; persistent ℒ∞-bounded disturbance attenuation; persistent bounded disturbances; Attenuation; Linear systems; Nonlinear systems;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479085
