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Technical Brief

Identification, estimation and control for linear systems using measurements of higher-order derivatives

[+] Author and Article Information
Zilong Shao

CRIStAL UMR CNRS 9189, Ecole Centrale de Lille Non-A team, INRIA-Lille Nord Europe
shaozilong88@gmail.com

Gang Zheng

CRIStAL UMR CNRS 9189, Ecole Centrale de Lille Non-A team, INRIA-Lille Nord Europe
gang.zheng@inria.fr

Denis Efimov

CRIStAL UMR CNRS 9189, Ecole Centrale de Lille Non-A team, INRIA-Lille Nord Europe
denis.efimov@inria.fr

Wilfrid Perruquetti

CRIStAL UMR CNRS 9189, Ecole Centrale de Lille Non-A team, INRIA-Lille Nord Europe
wilfrid.perruquetti@inria.fr

1Corresponding author.

ASME doi:10.1115/1.4037007 History: Received March 15, 2016; Revised May 31, 2017

Abstract

In this paper, the problem of output control for linear uncertain systems with external perturbations is studied. Firstly, it is assumed that the output available for measurement is only the higher order derivative of the state variable, instead of the state variable itself (for example, the acceleration for a second order plant), and the measurement is also corrupted by noise. Then via series of integration, an identification algorithm is proposed to identify all unknown parameters of the model and all unknown initial conditions of the state vector. Finally, two control algorithms are developed, adaptive and robust, both provide boundedness of trajectories of the system. The efficiency of the obtained solutions is demonstrated by numerical simulation.

Copyright (c) 2017 by ASME
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