This article studies the observer-based integral sliding mode control (ISMC) problem for continuously uncertain neutral semi-Markovian jumping systems with time-varying delays (TDs). Firstly, based on designed state observer, an ISMC method is proposed first time. Then, building appropriate stochastic Lyapunov–Krasovskii functional by taking into account more information about TDs, a novel suff...

This article deals with the proportional–integral observer (PIO) design problem for a class of linear systems distributed time delays and randomly occurring parameter uncertainties. The measurement signals, transmitted from sensors to observer, might suffer deception attacks. random occurrences uncertainties attacks are governed by two series Bernoulli variables known probability distributions....

The classical robust control deals with systems which can be approximated by nite order linear time-invariant (LTI) models, uses integral constraints, such as induced gain bounds, to assess robustness with respect to the error of such approximation, and employs H-In nity optimization to design robust linear controllers. In this paper, a parallel approach is developed, in which nite state stocha...

The theoretical and computational aspects of interval methodology based on Chebyshev polynomials for modeling complex nonlinear multi-body dynamic systems in the presence of parametric and external excitation uncertainties is formulated, implemented, and validated. Both the parameters uncertainties and external excitation uncertainties are modeled by uncertain-butbounded interval variables, whe...

This paper investigates robust active reliable control issues using a combination of Takagi-Sugeno (T-S) fuzzy system modeling and Integral Sliding Mode Control (ISMC) schemes. The presented reliable scheme is shown to retain the benefits of both T-S modeling and ISMC design. It not only alleviates the online computational burden due to the use of the T-S model but also preserves the many advan...

Abstract: Uncertain information about a system variable described by a random set or an equivalent Dempster-Shafer structure on a finite space of singletons determines an infinite convex set of probability distributions, given by the convex hull of a finite set of extreme distributions. Extreme distributions allow one to evaluate (through the Choquet integral) exact upper/lower bounds of the ex...

Fitting of uncertain data, that is, fitting of data points that are subject to some error, has important applications for example in statistics and for the evaluation of results from physical experiments. Fitting in these problem domains is usually achieved with polynomial approximation, which involves the minimization of an error at discrete data points. Norms typically used for this minimizat...

Abstract: This Paper deals with the problem of exponential stability for a class of uncertain Lur’e systems of neutral with interval time-varying delay and sector-bounded nonlinearily. The interval time-varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur’e dynamical systems with some sector conditions. By construc...