Extended state observer-based control for systems with locally Lipschitz uncertainties: LMI-based stability conditions

This paper deals with the closed-loop stability of an extended state observer-based control for systems with locally Lipschitz uncertainties. Novel stability conditions are developed, in terms of Linear Matrix Inequalities (LMI), in order to prove its local/global input-to-state or exponential stability, respectively. The stability conditions of this paper do not require neither the uncertainty to satisfy the so-called matched condition, nor the system to be expressed in the canonical integral chain form. LMI-based optimization methodologies are also developed in order to optimize the presented results. (C) 2019 Elsevier B.V. All rights reserved.