Output single phase variable structure control for mismatched uncertain systems

Tác giả: Huynh V.V., Tsai Y.-W.

Abstract: This paper proposes a new single phase variable structure control (SPVSC) for mismatched uncertain systems. A new sliding mode without reaching phase is designed to address two most important problems in the variable structure control area: 1) the system states are in sliding mode at the initial time movement; and 2) using only output variables directly. First, a new sufficient condition in terms of linear matrix inequality is derived such that the existence of a sliding surface guarantees asymptotic stability of the sliding mode dynamics from the initial time instant. Second, a static output feedback SPVSC law is designed to force the system states to stay in the sliding surface from beginning to end. Final, the lateral motion of a B-26 aircraft is simulated to demonstrate the advantages and effectiveness of the proposed SPVSC scheme.