Title :
Near-optimal feedback stabilization of a class of nonlinear singularly perturbed systems
Author :
Chow, J.H. ; Kokotovic, P.V.
Author_Institution :
General Electric Company, Schenectady, New York
Abstract :
The problem considered is to optimally control the nonlinear system: x = a1(x) + A1(x)z + B1(x)u, x(0) = xo (1a) ??z = a2(x) + A2(x)z + B2(x)u, z(0) = zo (1b) with respect to the performance index J=??0 ??[p(x) + s´(x)z + z´Q(x)z + u´R(x)u]dt (2) where ?? > 0 is the small singular perturbation parameter, x, z are n-, m- dimensional states, respectively, and u is an r-dimensional control.
Keywords :
Control systems; Feedback control; Nonlinear control systems; Nonlinear equations; Open loop systems; Optimal control; Power industry; Riccati equations; Stability; Systems engineering and theory;
Conference_Titel :
Decision and Control including the 17th Symposium on Adaptive Processes, 1978 IEEE Conference on
Conference_Location :
San Diego, CA, USA
DOI :
10.1109/CDC.1978.267942
