Decentralised Observation Using Higher Order Sliding Mode Techniques

Abstract

In this paper, a decentralised observer scheme is proposed for a class of nonlinear interconnected systems based on higher order sliding mode techniques. It is not required that the nominal subsystems or the isolated nominal subsystems are linearizable. Under the assumption that the isolated nominal subsystems have uniform relative degree, local coordinate transformations are used to transform these systems to a new interconnected system which facilitates higher order sliding mode design. Observers composed of a set of decoupled dynamical systems are designed such that the observation error dynamical systems converge to zero exponentially. The designed observer is continuous and chattering can be avoided. The configuration is convenient for practical implementation as it is a decentralised scheme.

Integral sliding mode control for Markovian jump T–S fuzzy descriptor systems based on the super‐twisting algorithm

“…, and U , V are orthogonal matrices satisfying (6). To show the benefits of the utilization of descriptor redundancy and properties of fuzzy membership functions, the following corollary is presented.…”

“…To this end, integral sliding mode control has been proposed to compensate exactly the matched uncertainties from the initial time instant. With increasing understanding of the real-world model informing model development, significant interest has been paid to the development of sliding mode control for diverse complex systems [4,5,6,7,8,9]. Among this work, T-S fuzzy systems and Markovian jump systems are two representative classes of dynamical systems.…”