Estimating the performance of approximately feedback linearized systems

Author

Hauser, John ; Lai, Michael C.

Author_Institution

Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA

fYear

1992

fDate

1992

Firstpage

745

Abstract

A method for estimating the performance of approximately feedback linearized systems is presented. The objective is to quantify the interactions among three important performance measures: the aggressiveness of the desired trajectory, the tracking error, and the domain of attraction. The proposed approach begins with the formulation of an optimization problem based on Lyapunov theory. Solving this optimization problem makes it possible to construct a nonsmooth solution manifold that characterizes the system performance. Nonsmooth analysis is used to analyze the important functions involved in the optimization and to develop a path-following algorithm for calculating the desired manifold

Keywords

Lyapunov methods; control system analysis; feedback; linearisation techniques; nonlinear control systems; optimisation; Lyapunov theory; approximately feedback linearized systems; nonsmooth solution manifold; optimization; path-following algorithm; trajectory tracking; Algorithm design and analysis; Computer errors; Control systems; Design optimization; Feedback; Linear approximation; Nonlinear control systems; Stability analysis; State feedback; System performance; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371626

Filename

371626