State and input estimation for a class of uncertain systems. (English) Zbl 0932.93008

Corless, Martin; Tu, Jay

Automatica 34, No. 6, 757-764 (1998).

The paper considers a class of deterministic systems with a known time-invariant linear part and an unknown nonlinear part which models all uncertain, nonlinear, time-varying terms in the state dynamics. Such a nonlinear part is regarded as an unknown state-dependent time-varying input and the problem of joint state and input estimation based on the observed (linear) output is studied. A suitable equivalent Lyapunov characterization of assumptions commonly used in the literature provides asymptotic estimates to any desired degree of accuracy of the system state and input.

Reviewer: G.Di Masi (Padova)

MSC:

93B07	Observability
15A39	Linear inequalities of matrices

Keywords:

state estimation; input estimation; observers