Chakib Ben Njima

Finite Time Stabilization of the Four Tanks System: Extensions to the Uncertain Systems

We consider the finite time stability and stabilization of linear systems described in continuous time. First, we provide a condition for the stability over time using the state transition matrix standard. Then we give conditions to design a state feedback control that stabilizes the system over time. In some cases where there is uncertainty in the system model, the previous conditions are extended to a certain class of uncertain systems. The considered uncertainties are the polytopic and norm bounded ones. To reveal the proposed approach, an application to the four tanks system was made.

Finite-time stabilization of non affine systems a constructive method for polynomial systems

In this paper finite-time stabilization of nonlinear non affine systems, is considered. First we provide a formula for a finite time stabilizing state feedback control law, for a second order polynomial system. Then we extend the result to the case of polynomial systems with multiple inputs. Some extensions concerning asymptotic stabilization are given.

Finite time stabilization of nonlinear affine systems application to robot manipulator

In this paper finite-time stabilization of nonlinear affine systems, is considered. We give a formula for a finite time stabilizing state feedback control law. Then the proposed method is applied to a robot manipulator system.

Using timed automata and fuzzy logic for diagnosis of multiple faults in DES

This paper proposes a design method of a support tool for detection and diagnosis of failures in discrete event systems (DES). The design of this diagnoser goes through three phases: an identification phase and finding paths and temporal parameters of the model describing the two modes of normal and faulty operation, a detection phase provided by the comparison and monitoring time operation and a location phase based on the combination of the temporal evolution of the parameters and thresholds exceeded technique. Our contribution lays in the application of this technique in the presence of faults arising simultaneously, sensors and actuators. The validation of the proposed approach is illustrated in a filling system through a simulation.

New approach of diagnosis with hybrid automata

This paper deals with the diagnosis problem of hybrid dynamic system. An Efficient diagnosis technique has to be adopted to detect, isolate faults. The modeling tool selected is the hybrid automata for its power analysis. A simple process is used to demonstrate the modeling steps and the time analysis method to reach the diagnosis results.

Modeling a system with hybrid automata and multi —models

The work presented in this paper focuses on the modeling of nonlinear hybrid systems taking into account the different operating modes. This approach is a multi-models approach or each model describes the system in a given mode. Each mode is represented by hybrid automata.

Finite time stabilization of non linear systems by state feedback

In this paper finite-time stabilization of nonlinear affine systems, is considered. First we provide a formula for a finite-time stabilizing state feedback control law, for the last class of system. Then we extend the result to the case of a norm-bounded uncertain system and a polytopic uncertain system stabilization are given. Some numerical examples are given to illustrate the main result.