In this paper, the problem of output control for linear uncertain systems with external perturbations is studied. First, 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.
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December 2017
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Identification, Estimation, and Control for Linear Uncertain Systems Using Measurements of Higher-Order Derivatives
Zilong Shao,
Zilong Shao
CRIStAL UMR CNRS 9189,
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
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Gang Zheng,
Gang Zheng
CRIStAL UMR CNRS 9189,
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
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Denis Efimov,
Denis Efimov
CRIStAL UMR CNRS 9189,
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
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Wilfrid Perruquetti
Wilfrid Perruquetti
CRIStAL UMR CNRS 9189,
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Non-A team,
INRIA-Lille Nord Europe,
Villeneuve d'Ascq 59650, France
e-mail: wilfrid.perruquetti@inria.fr
INRIA-Lille Nord Europe,
Villeneuve d'Ascq 59650, France
e-mail: wilfrid.perruquetti@inria.fr
Search for other works by this author on:
Zilong Shao
CRIStAL UMR CNRS 9189,
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Gang Zheng
CRIStAL UMR CNRS 9189,
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Denis Efimov
CRIStAL UMR CNRS 9189,
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Wilfrid Perruquetti
CRIStAL UMR CNRS 9189,
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Ecole Centrale de Lille,
Villeneuve d'Ascq 59650, France;
Non-A team,
INRIA-Lille Nord Europe,
Villeneuve d'Ascq 59650, France
e-mail: wilfrid.perruquetti@inria.fr
INRIA-Lille Nord Europe,
Villeneuve d'Ascq 59650, France
e-mail: wilfrid.perruquetti@inria.fr
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received March 15, 2016; final manuscript received May 31, 2017; published online August 9, 2017. Assoc. Editor: Jongeun Choi.
J. Dyn. Sys., Meas., Control. Dec 2017, 139(12): 124501 (6 pages)
Published Online: August 9, 2017
Article history
Received:
March 15, 2016
Revised:
May 31, 2017
Citation
Shao, Z., Zheng, G., Efimov, D., and Perruquetti, W. (August 9, 2017). "Identification, Estimation, and Control for Linear Uncertain Systems Using Measurements of Higher-Order Derivatives." ASME. J. Dyn. Sys., Meas., Control. December 2017; 139(12): 124501. https://doi.org/10.1115/1.4037007
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