Title :
Some results on L1-performance for nonlinear systems
Author :
Hao, Fei ; Chu, Tianguang ; Huang, Lin
Author_Institution :
Center for Syst. & Control, Peking Univ., Beijing, China
Abstract :
The L1-performance analysis of nonlinear systems is discussed using the theory of positively invariant sets and the set-valued analysis. The main result of the paper shows that the L1 performance cost of a nonlinear continuous-time system is upper bounded by the L1 performance cost of its Euler approximating discrete-time system (EAS). Another result shows that the optimal L1 performance cost of a continuous-time system can be arbitrarily closed by the L1 performance cost of its EAS
Keywords :
closed loop systems; continuous time systems; control system analysis; discrete time systems; feedback; nonlinear systems; optimal control; Euler approximating system; closed-loop system; continuous-time system; discrete-time system; feedback; nonlinear systems; optimal control; performance analysis; positively invariant sets; set-valued analysis; Control systems; Costs; Nonlinear systems; Performance analysis;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980386
