Title :
Balancing for unstable nonlinear systems
Author :
Scherpen, J.M.A.
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
Abstract :
A previously obtained method of balancing for stable nonlinear systems is extended to unstable nonlinear systems. The similarity invariants obtained by the concept of LQG balancing for an unstable linear system can also be obtained by considering a past and future energy function of the system. By considering a past and future energy function for an unstable nonlinear system, the concept of these similarity invariants for linear systems is extended to nonlinear systems. Furthermore the relation of this balancing method with the previously obtained method of balancing the coprime factorization of an unstable nonlinear system is considered. Both methods are introduced with the aim of using it as a tool for model reduction
Keywords :
nonlinear control systems; optimal control; stability; LQG balancing; coprime factorization; energy function; model reduction; similarity invariants; unstable linear system; unstable nonlinear systems; Control theory; Eigenvalues and eigenfunctions; Jacobian matrices; Linear systems; Mathematics; Nonlinear equations; Nonlinear systems; Reduced order systems;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325198
