Title :
Balancing nonlinear systems near attracting in variant manifolds
Author :
Gray, W. Steven ; Verriest, Erik I.
Author_Institution :
Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
The notion of a balanced realization for a general nonlinear time-varying system is introduced for state space systems that have an attracting invariant regular sub-manifold. This is viewed as a generalization of the usual case where balancing is done near a stable equilibrium point. The special case of balancing an unstable linear time-invariant systems is considered as an example.
Keywords :
nonlinear control systems; reduced order systems; state-space methods; time-varying systems; general nonlinear time-varying system; model reduction; state space systems; unstable linear time-invariant system; variant manifolds; Boundary conditions; Computers; Controllability; Eigenvalues and eigenfunctions; Facsimile; Mathematical model; Trajectory; balanced realizations; model reduction; nonlinear systems;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
