In this chapter it has been shown that: the modified (with the linear correction term and δ-regularisation) concept of 'sliding mode observation' does really work, in principle, and provides acceptable quality of the state-estimation process for output noise of a deterministic nature: the averaged state-estimation error norm is shown to be bounded asymptotically; the correct selection of the gain-matrix K in the SMO is related to the corresponding algebraic Riccati equation; and the convergence zone is dependent on the process and observer properties and can be minimised by appropriate selection of the gain matrices.

Inspec keywords: convergence; Riccati equations; variable structure systems; matrix algebra; observers

Other keywords: sliding mode observation; deterministic output noise effects; convergence zone; deterministic nature; gain-matrix; averaged state-estimation error norm; algebraic Riccati equation

Subjects: Multivariable control systems