Title :
State feedback for nonlinear continuous-time systems: stabilization and the creation of invariant subspaces
Author_Institution :
Dept. of Electr. Eng., Florida Univ., Gainesville, FL, USA
Abstract :
A theory of static state feedback for multivariable continuous-time nonlinear systems is formulated. The theory applies to systems described by differential equations of the form x˙(t)=f(x(t),u(t)). The basic objective is to design static state feedback compensators such that the state-space trajectory of the closed-loop system is confined within a specified subspace, and the closed-loop system is internally stable. An explicit method for designing such compensators is developed. The construction of the compensators involves only quantities directly derived from the given function f
Keywords :
compensation; control system synthesis; feedback; multivariable control systems; nonlinear control systems; stability; state-space methods; closed-loop system; differential equations; invariant subspaces; multivariable systems; nonlinear continuous-time systems; stabilization; state-space trajectory; static state feedback compensators; Airplanes; Biological control systems; Biological systems; Cells (biology); Control systems; Extraterrestrial phenomena; Force control; Nonlinear control systems; State feedback; State-space methods;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203425
