Title :
Observer-based backstepping with weak nonlinear damping
Author_Institution :
Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA
Abstract :
Due to the absence of a separation principle, it is necessary to ensure robustness of a control law against the observer error. We present a new backstepping design which renders the system integral input-to-state stable (iISS) with respect to the observer error. The advantage of the new design over conservative ISS designs is that it employs "weak" nonlinear damping terms, which grow slower than those used for achieving ISS. Stability is established from a recent cascade result for iISS systems, by exploiting the exponential convergence of observer estimates.
Keywords :
cascade control; convergence; damping; nonlinear control systems; observers; robust control; backstepping design; cascade result; exponential convergence; iISS system; integral ISS system; integral input-to-state stable system; observer error; observer estimates; observer-based backstepping; robustness; separation principle; weak nonlinear damping; weak nonlinear damping terms; Backstepping; Computer errors; Convergence; Damping; Error correction; Feedback; Robust control; Robustness; Stability; Systems engineering and theory;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1024465