Tracking control for a class of unknown nonsquare MIMO nonaffine systems: A deep-rooted information based robust adaptive approach

Yongduan SONG; Xiucai HUANG; Changyun WEN

doi:10.1109/TAC.2015.2508741

Tracking control for a class of unknown nonsquare MIMO nonaffine systems: A deep-rooted information based robust adaptive approach

Yongduan SONG^*
, Xiucai HUANG
, Changyun WEN

^*Corresponding author for this work

Research output: Journal Publications › Journal Article (refereed) › peer-review

175 Citations (Scopus)

Abstract

The tracking control problem of multi-input multioutput (MIMO) nonaffine dynamic systems is studied in this note. A globally uniformly ultimately bounded (GUUB) stable tracking control solution for non-square MIMO nonaffine systems with unknown dynamics and disturbances is established. Different from most existing methods, the proposed control design is based on the readily computable deep-rooted information on the system and does not involve linearization or approximation; and the resultant control algorithms are simple in structure, inexpensive in computation, user-friendly in design, and undemanding in implementation. Both theoretical analysis and numerical simulation verify the effectiveness and benefits of the proposed method.

Original language	English
Pages (from-to)	3227-3233
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	61
Issue number	10
Early online date	17 Dec 2015
DOIs	https://doi.org/10.1109/TAC.2015.2508741
Publication status	Published - Oct 2016
Externally published	Yes

Funding

This work was supported in part by the Major State Basic Research Development Program 973 under Grant 2012CB215202 and the National Natural Science Foundation of China under Grant 61134001.

Keywords

Deep-rooted information
Nonsquare nonaffine systems
Robust adaptive control
Virtual parameter

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10.1109/TAC.2015.2508741

Cite this

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abstract = "The tracking control problem of multi-input multioutput (MIMO) nonaffine dynamic systems is studied in this note. A globally uniformly ultimately bounded (GUUB) stable tracking control solution for non-square MIMO nonaffine systems with unknown dynamics and disturbances is established. Different from most existing methods, the proposed control design is based on the readily computable deep-rooted information on the system and does not involve linearization or approximation; and the resultant control algorithms are simple in structure, inexpensive in computation, user-friendly in design, and undemanding in implementation. Both theoretical analysis and numerical simulation verify the effectiveness and benefits of the proposed method.",

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AU - HUANG, Xiucai

AU - WEN, Changyun

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Y1 - 2016/10

N2 - The tracking control problem of multi-input multioutput (MIMO) nonaffine dynamic systems is studied in this note. A globally uniformly ultimately bounded (GUUB) stable tracking control solution for non-square MIMO nonaffine systems with unknown dynamics and disturbances is established. Different from most existing methods, the proposed control design is based on the readily computable deep-rooted information on the system and does not involve linearization or approximation; and the resultant control algorithms are simple in structure, inexpensive in computation, user-friendly in design, and undemanding in implementation. Both theoretical analysis and numerical simulation verify the effectiveness and benefits of the proposed method.

AB - The tracking control problem of multi-input multioutput (MIMO) nonaffine dynamic systems is studied in this note. A globally uniformly ultimately bounded (GUUB) stable tracking control solution for non-square MIMO nonaffine systems with unknown dynamics and disturbances is established. Different from most existing methods, the proposed control design is based on the readily computable deep-rooted information on the system and does not involve linearization or approximation; and the resultant control algorithms are simple in structure, inexpensive in computation, user-friendly in design, and undemanding in implementation. Both theoretical analysis and numerical simulation verify the effectiveness and benefits of the proposed method.

KW - Deep-rooted information

KW - Nonsquare nonaffine systems

KW - Robust adaptive control

KW - Virtual parameter

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M3 - Journal Article (refereed)

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SN - 0018-9286

VL - 61

SP - 3227

EP - 3233

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 10

ER -

Tracking control for a class of unknown nonsquare MIMO nonaffine systems: A deep-rooted information based robust adaptive approach

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