Showing papers by "Hector Rios published in 2016"
TL;DR: The uniform stability notion for a class of nonlinear time-varying systems is studied using the homogeneity framework and the results are applied to the problem of adaptive estimation for a linear system.
Abstract: The uniform stability notion for a class of nonlinear time-varying systems is studied using the homogeneity framework. It is assumed that the system is weighted homogeneous considering the time variable as a constant parameter, then several conditions of uniform stability for such a class of systems are formulated. The results are applied to the problem of adaptive estimation for a linear system.
21 citations
01 Dec 2016
TL;DR: The proposed hybrid observer provides fixed-time convergence of the state estimation error, i.e. there exists a convergence time that is bounded and such a bound is independent of the initial estimation error.
Abstract: This paper deals with the problem of state estimation for single-output observable linear systems. A hybrid observer is proposed to estimate the state of the system exactly and in a finite time. Moreover, the proposed hybrid observer provides fixed-time convergence of the state estimation error, i.e. there exists a convergence time that is bounded and such a bound is independent of the initial estimation error. Some simulation results illustrate the effectiveness of the proposed hybrid observer.
18 citations
TL;DR: The problem of stability robustness with respect to time-varying perturbations of a given frequency spectrum is studied applying homogeneity framework and the results are applied to analyze the Super-Twisting Algorithm (STA) behavior under time-Varyingperturbations.
Abstract: The problem of stability robustness with respect to time-varying perturbations of a given frequency spectrum is studied applying homogeneity framework. The notion of finite-time stability over time intervals of finite length, i.e., short-finite-time stability , is introduced and used for that purpose. The results are applied to analyze the Super-Twisting Algorithm (STA) behavior under time-varying perturbations. Some simulation examples illustrate these robustness properties.
13 citations
TL;DR: In this article, an identification algorithm is developed in order to identify time-varying parameters in a finite-time setting, and convergence proofs are based on a notion of finite time stability over finite intervals of time.
4 citations
14 Dec 2016
TL;DR: This paper deals with the sampled-data control problem based on state estimation for linear sampled- data systems with an impulsive system approach based on a vector Lyapunov function method.
Abstract: This paper deals with the sampled-data control problem based on state estimation for linear sampled-data systems. An impulsive system approach is proposed based on a vector Lyapunov function method. Observer-based control design conditions are expressed in terms of LMIs. Some examples illustrate the feasibility of the proposed approach.
1 citations
01 Feb 2016
TL;DR: In this article, a 2D time domain representation is used for the stability analysis of linear impulsive dynamical systems based on a vector Lyapunov function and its divergence operator.
Abstract: This paper contributes to the stability analysis for impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The new method relies on a 2D time domain representation. The result is illustrated for the exponential stability of linear impulsive systems based on LMIs. The obtained results provide some notions of minimum and maximum dwell-time. Some examples illustrate the feasibility of the proposed approach.
1 citations