Title :
Nonlinear optimal stabilizing control in discrete time
Author :
Monaco, S. ; Normand-Cyrot, Dorothee
Author_Institution :
Dipt. di Ing. Inf., Autom. e Gestionale `Antonio Ruberti´, Univ. di Roma La Sapienza, Rome, Italy
Abstract :
The paper discusses connexions between optimality and passivity-like properties in discrete-time. The problem is set in the framework of differential/difference representations of discrete-time dynamics. The Hamilton Jacobi Bellman equality is specified and the optimal control is implicitly described. Some particular cases for which explicit control solutions can be built are analyzed. An example concludes the paper.
Keywords :
difference equations; discrete time systems; nonlinear control systems; optimal control; stability; Hamilton Jacobi Bellman equality; difference representation; differential representation; discrete-time dynamics; nonlinear optimal stabilizing control; passivity-like property; Context; Damping; Equations; Heuristic algorithms; Optimal control; Output feedback; Vectors;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6314888