Title :
On the algebraization of nonlinear control
Author_Institution :
Dept. of Electr. Eng., Florida Univ., Gainesville, FL, USA
Abstract :
An algebraic theory on the stabilization of discrete- and continuous-time nonlinear systems by static state feedback is presented. In both cases, it is shown that the existence of stabilizing feedback controllers can be completely characterized through certain algebraic properties of the functions determining the state representation of the system. The theory includes necessary and sufficient conditions for the existence of stabilizing feedback functions, as well as methods for their computation. An inherent resemblance between the discrete-time and the continuous-time cases is elucidated
Keywords :
algebra; control system analysis; feedback; nonlinear control systems; stability; algebra; continuous-time nonlinear systems; discrete time nonlinear systems; necessary conditions; stability; stabilization; stabilizing feedback controllers; static state feedback; sufficient conditions; Adaptive control; Closed loop systems; Equations; Feedback loop; Jacobian matrices; Nonlinear dynamical systems; Nonlinear systems; Stability; State feedback; Sufficient conditions; Technical Activities Guide -TAG;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261329
