Robust Adaptive Fault-Tolerant PID Control of MIMO Nonlinear Systems With Unknown Control Direction

Yongduan SONG; Xiucai HUANG; Changyun WEN

doi:10.1109/TIE.2017.2669891

Robust Adaptive Fault-Tolerant PID Control of MIMO Nonlinear Systems With Unknown Control Direction

Yongduan SONG^*
, Xiucai HUANG
, Changyun WEN

^*Corresponding author for this work

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

138 Citations (Scopus)

Abstract

This paper shows that the structurally simple and computationally inexpensive PID control, popular with single-input single-output (SISO) linear time-invariant systems, can be generalized and extended to control nonlinear multi-input multi-output (MIMO) systems with nonparametric uncertainties and actuation failures. By utilizing the Nussbaum-type function and the matrix decomposition technique, nonsquare systems with unknown control direction are also considered. Furthermore, with the proposed analytic algorithms for adaptively tuning PID gains, the resultant PID control can be made robust, adaptive, and fault-tolerant, and applicable to nonlinear systems with nonvanishing uncertainties and unexpected actuation faults. Both theoretical analysis and numerical simulation verify the effectiveness and benefits of the design.

Original language	English
Pages (from-to)	4876-4884
Number of pages	9
Journal	IEEE Transactions on Industrial Electronics
Volume	64
Issue number	6
Early online date	15 Feb 2017
DOIs	https://doi.org/10.1109/TIE.2017.2669891
Publication status	Published - Jun 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 61134001 and in part by the technology transformation program of Chongqing higher education university (KJZH17102).

Keywords

Fault-tolerant
PID
robust adaptive
self-tuning gains
unknown control direction

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10.1109/TIE.2017.2669891

Cite this

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title = "Robust Adaptive Fault-Tolerant PID Control of MIMO Nonlinear Systems With Unknown Control Direction",

abstract = "This paper shows that the structurally simple and computationally inexpensive PID control, popular with single-input single-output (SISO) linear time-invariant systems, can be generalized and extended to control nonlinear multi-input multi-output (MIMO) systems with nonparametric uncertainties and actuation failures. By utilizing the Nussbaum-type function and the matrix decomposition technique, nonsquare systems with unknown control direction are also considered. Furthermore, with the proposed analytic algorithms for adaptively tuning PID gains, the resultant PID control can be made robust, adaptive, and fault-tolerant, and applicable to nonlinear systems with nonvanishing uncertainties and unexpected actuation faults. Both theoretical analysis and numerical simulation verify the effectiveness and benefits of the design.",

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AU - HUANG, Xiucai

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PY - 2017/6

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N2 - This paper shows that the structurally simple and computationally inexpensive PID control, popular with single-input single-output (SISO) linear time-invariant systems, can be generalized and extended to control nonlinear multi-input multi-output (MIMO) systems with nonparametric uncertainties and actuation failures. By utilizing the Nussbaum-type function and the matrix decomposition technique, nonsquare systems with unknown control direction are also considered. Furthermore, with the proposed analytic algorithms for adaptively tuning PID gains, the resultant PID control can be made robust, adaptive, and fault-tolerant, and applicable to nonlinear systems with nonvanishing uncertainties and unexpected actuation faults. Both theoretical analysis and numerical simulation verify the effectiveness and benefits of the design.

AB - This paper shows that the structurally simple and computationally inexpensive PID control, popular with single-input single-output (SISO) linear time-invariant systems, can be generalized and extended to control nonlinear multi-input multi-output (MIMO) systems with nonparametric uncertainties and actuation failures. By utilizing the Nussbaum-type function and the matrix decomposition technique, nonsquare systems with unknown control direction are also considered. Furthermore, with the proposed analytic algorithms for adaptively tuning PID gains, the resultant PID control can be made robust, adaptive, and fault-tolerant, and applicable to nonlinear systems with nonvanishing uncertainties and unexpected actuation faults. Both theoretical analysis and numerical simulation verify the effectiveness and benefits of the design.

KW - Fault-tolerant

KW - PID

KW - robust adaptive

KW - self-tuning gains

KW - unknown control direction

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M3 - Journal Article (refereed)

AN - SCOPUS:85028695344

SN - 0278-0046

VL - 64

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EP - 4884

JO - IEEE Transactions on Industrial Electronics

JF - IEEE Transactions on Industrial Electronics

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Robust Adaptive Fault-Tolerant PID Control of MIMO Nonlinear Systems With Unknown Control Direction

Abstract

Bibliographical note

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Keywords

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