Title :
Stability analysis of wavelet-based controller design
Author :
Wu, Yan ; Veillette, Robert J. ; Mugler, Dale H. ; Hartley, Tom T.
Author_Institution :
Georgia Southern Univ., GA, USA
Abstract :
The stability property of a wavelet-based controller design is investigated by applying it to linear time-invariant (LTI) systems. Bounds for the design parameters of a wavelet controller are obtained, which guarantee the stability of the wavelet-controlled LTI plants. Numerical simulations indicate that those bounds are well achievable and applicable in the design
Keywords :
Lyapunov methods; MIMO systems; control system synthesis; linear systems; stability; wavelet transforms; Lyapunov method; MIMO systems; Morlet wavelet; SISO systems; linear time invariant systems; stability; wavelet-based controller; Adaptive control; Control systems; Equations; Lyapunov method; Nonlinear dynamical systems; Numerical simulation; Stability analysis; State-space methods; Symmetric matrices; Wavelet analysis;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945746
