International Journal of Robust and Nonlinear Control

Volume 33, Issue 6 pp. 3874-3888

RESEARCH ARTICLE

Global output feedback control for large-scale time-delay systems with inherent nonlinearities and measurement uncertainty

Weiyong Yu,

Weiyong Yu

orcid.org/0000-0003-4763-2868

Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing, China

Hydrogen Energy Research Centre, Beijing Institute of Petrochemical Technology, Beijing, China

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Guocheng Sun,

Guocheng Sun

Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing, China

Hydrogen Energy Research Centre, Beijing Institute of Petrochemical Technology, Beijing, China

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Qianjin Guo,

Corresponding Author

Qianjin Guo

[email protected]

Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing, China

Hydrogen Energy Research Centre, Beijing Institute of Petrochemical Technology, Beijing, China

Correspondence Qianjin Guo, Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing 102617, China.

Email: [email protected]

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Qiang Liu,

Qiang Liu

Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing, China

Hydrogen Energy Research Centre, Beijing Institute of Petrochemical Technology, Beijing, China

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Weiyong Yu,

Weiyong Yu

orcid.org/0000-0003-4763-2868

Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing, China

Hydrogen Energy Research Centre, Beijing Institute of Petrochemical Technology, Beijing, China

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Guocheng Sun,

Guocheng Sun

Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing, China

Hydrogen Energy Research Centre, Beijing Institute of Petrochemical Technology, Beijing, China

Search for more papers by this author

Qianjin Guo,

Corresponding Author

Qianjin Guo

[email protected]

Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing, China

Hydrogen Energy Research Centre, Beijing Institute of Petrochemical Technology, Beijing, China

Correspondence Qianjin Guo, Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing 102617, China.

Email: [email protected]

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Qiang Liu,

Qiang Liu

Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing, China

Hydrogen Energy Research Centre, Beijing Institute of Petrochemical Technology, Beijing, China

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First published: 17 January 2023

https://doi.org/10.1002/rnc.6601

Citations: 3

Funding information: Beijing Municipal Commission of Education, Grant/Award Numbers: 22019821001; KM202210017001

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Abstract

This paper investigates the problem of global state regulation by output feedback for a class of large-scale nonlinear time-delay systems with inherent nonlinearities and unknown measurement sensitivity. The uncertain nonlinearities are bounded by nonlinear growth of lower triangular unmeasurable (delayed) states multiplied by the unknown constant, polynomial-of-output and polynomial-of-input. Different from closely related works, the simultaneous existence of complicated nonlinearities and unknown measurement sensitivity makes the problem more involved and complex. Based on the dynamic gain scaling technique, we design a set of new adaptive output feedback controllers with a simpler structure by constructing two Lyapunov–Krasovskii functionals appropriately, which can globally regulate all states of the large-scale systems. An illustrative example is proposed to demonstrate the validity of the presented control scheme.

CONFLICT OF INTEREST

The authors declare no potential conflict of interests.

Open Research

DATA AVAILABILITY STATEMENT

The data that support the findings of this study are available from the corresponding author upon reasonable request.

REFERENCES

1Jiang Z, Repperger DW, Hill DJ. Decentralized nonlinear output-feedback stabilization with disturbance attenuation. IEEE Trans Automat Control. 2001; 46(10): 1623-1629.
10.1109/9.956061
Web of Science® Google Scholar
2Krishnamurthy P, Khorrami F. Decentralized control and disturbance attenuation for large-scale nonlinear systems in generalized output-feedback canonical form. Automatica. 2003; 39(11): 1923-1933.
10.1016/S0005-1098(03)00199-7
Web of Science® Google Scholar
3Zhang X, Lin Y. Nonlinear decentralized control of large-scale systems with strong interconnections. Automatica. 2014; 50(9): 2419-2423.
10.1016/j.automatica.2014.07.024
Web of Science® Google Scholar
4Kordestani M, Safavi AA, Saif M. Recent survey of large-scale systems: architectures, controller strategies, and industrial applications. IEEE Syst J. 2021; 15(4): 5440-5453.
10.1109/JSYST.2020.3048951
Web of Science® Google Scholar
5Shi L, Singh SK. Decentralized adaptive controller design for large-scale systems with higher order interconnections. IEEE Trans Automat Control. 1992; 37(8): 1106-1118.
10.1109/9.151092
Web of Science® Google Scholar
6Wen C, Zhou J, Wang W. Decentralized adaptive backstepping stabilization of interconnected systems with dynamic input and output interactions. Automatica. 2009; 45(1): 55-67.
10.1016/j.automatica.2008.06.018
Web of Science® Google Scholar
7Su Z, Qian C, Hao Y, Zhao M. Global stabilization via sampled-data output feedback for large-scale systems interconnected by inherent nonlinearities. Automatica. 2018; 92: 254-258.
10.1016/j.automatica.2018.03.057
Web of Science® Google Scholar
8Fridman E. Introduction to Time-Delay Systems: Analysis and Control. Springer; 2014.
10.1007/978-3-319-09393-2
Google Scholar
9Nguyen KD. An adaptive controller for uncertain nonlinear systems with multiple time delays. Automatica. 2020; 117:108976.
10.1016/j.automatica.2020.108976
Web of Science® Google Scholar
10Liu Q, Zhang X, Li H. Global regulation for feedforward systems with both discrete delays and distributed delays. Automatica. 2020; 113:108753.
10.1016/j.automatica.2019.108753
Web of Science® Google Scholar
11Ye X. Decentralized adaptive stabilization of large-scale nonlinear time-delay systems with unknown high-frequency-gain signs. IEEE Trans Automat Control. 2011; 56(6): 1473-1478.
10.1109/TAC.2011.2132270
Web of Science® Google Scholar
12Zhang X, Liu L, Feng G, Zhang C. Output feedback control of large-scale nonlinear time-delay systems in lower triangular form. Automatica. 2013; 49(11): 3476-3483.
10.1016/j.automatica.2013.08.026
Web of Science® Google Scholar
13Lee K, Bhattacharya R. Stability analysis of large-scale distributed networked control systems with random communication delays: a switched system approach. Syst Control Lett. 2015; 85: 77-83.
10.1016/j.sysconle.2015.08.011
Web of Science® Google Scholar
14Li H, Zhang X, Liu Q. Adaptive output feedback control for a class of large-scale output-constrained non-linear time-delay systems. IET Control Theory Appl. 2018; 12(1): 174-181.
10.1049/iet-cta.2017.0500
Web of Science® Google Scholar
15Phat VN, Thanh NT, Trinh H. Full-order observer design for nonlinear complex large-scale systems with unknown time-varying delayed interactions. Complexity. 2015; 21(2): 123-133.
10.1002/cplx.21584
Web of Science® Google Scholar
16Khalil HK. Nonlinear Systems. 3rd ed. Prentice-Hall; 2002.
Web of Science® Google Scholar
17Qian C, Lin W. Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm. IEEE Trans Automat Control. 2002; 47(10): 1710-1715.
10.1109/TAC.2002.803542
Web of Science® Google Scholar
18Praly L, Jiang Z. Linear output feedback with dynamic high gain for nonlinear systems. Syst Control Lett. 2004; 53(2): 107-116.
10.1016/j.sysconle.2004.02.025
Web of Science® Google Scholar
19Liu Y. Global asymptotic regulation via time-varying output feedback for a class of uncertain nonlinear systems. SIAM J Control Optim. 2013; 51(6): 4318-4342.
10.1137/120862570
Web of Science® Google Scholar
20Lei H, Lin W. Adaptive regulation of uncertain nonlinear systems by output feedback: a universal control approach. Syst Control Lett. 2007; 56(7-8): 529-537.
10.1016/j.sysconle.2007.03.002
Web of Science® Google Scholar
21Benabdallah A, Ayadi H, Mabrouk M. Global adaptive output stabilization of uncertain nonlinear systems with polynomial output depending growth rate. Int J Adapt Control Signal Process. 2014; 28(7-8): 604-619.
10.1002/acs.2412
Web of Science® Google Scholar
22Guo C, Xie X. Global output feedback control of nonlinear time-delay systems with input matching uncertainty and unknown output function. Int J Syst Sci. 2019; 50(4): 713-725.
10.1080/00207721.2019.1567868
Web of Science® Google Scholar
23Bernstein DS. Sensor performance specifications. IEEE Control Syst Mag. 2001; 21(4): 9-18.
10.1109/37.939939
Web of Science® Google Scholar
24Liu T, Jiang Z, Hill DJ. Decentralized output-feedback control of large-scale nonlinear systems with sensor noise. Automatica. 2012; 48(10): 2560-2568.
10.1016/j.automatica.2012.06.054
Web of Science® Google Scholar
25Koo MS, Choi HL. Output feedback regulation of a class of high-order feedforward nonlinear systems with unknown time-varying delay in the input under measurement sensitivity. Int J Robust Nonlinear Control. 2020; 30(12): 4744-4763.
10.1002/rnc.4998
Web of Science® Google Scholar
26Sun Z, Xing J, Meng Q. Output feedback regulation of time-delay nonlinear systems with unknown continuous output function and unknown growth rate. Nonlinear Dyn. 2020; 100(2): 1309-1325.
10.1007/s11071-020-05552-3
Web of Science® Google Scholar
27 Meng Q, Ma Q. Global stabilization for a class of stochastic nonlinear time-delay systems with unknown measurement drifts and its application. IEEE Trans Neural Netw Learn Syst. 2022; 33(12): 7153-7160.
10.1109/TNNLS.2021.3084295
PubMed Web of Science® Google Scholar
28 Meng Q, Ma Q. Output feedback control for stochastic nonlinear systems with nondifferentiable measurement function and input saturation. IEEE Trans Neural Netw Learn Syst. 2021; 1-11. doi:10.1109/TNNLS.2021.3123637
10.1109/TNNLS.2021.3123637
Web of Science® Google Scholar
29Chen CC, Qian C, Sun Z, Liang YW. Global output feedback stabilization of a class of nonlinear systems with unknown measurement sensitivity. IEEE Trans Automat Control. 2017; 63(7): 2212-2217.
10.1109/TAC.2017.2759274
Web of Science® Google Scholar
30Wang W, Lin Y, Zhang X. Global adaptive output feedback stabilization for nonlinear time-delay systems with unknown measurement sensitivity. Int J Robust Nonlinear Control. 2021; 31(13): 6179-6192.
10.1002/rnc.5605
Web of Science® Google Scholar
31Li H, Zhang X, Hou T. Output feedback control of large-scale non-linear time-delay systems with unknown measurement sensitivities. IET Control Theory Appl. 2019; 13(13): 2122-2127.
10.1049/iet-cta.2018.5501
Web of Science® Google Scholar
32Hardy GH, Littlewood JE, Pólya G. Inequalities. Cambridge university press; 1952.
Google Scholar
33Farkas B, Wegner SA. Variations on Barbălat's lemma. Am Math Mon. 2016; 123(8): 825-830.
10.4169/amer.math.monthly.123.8.825
Web of Science® Google Scholar
34Liu Z, Wu Y. Universal strategies to explicit adaptive control of nonlinear time-delay systems with different structures. Automatica. 2018; 89: 151-159.
10.1016/j.automatica.2017.11.023
Web of Science® Google Scholar
35Zhai J. Dynamic output-feedback control for nonlinear time-delay systems and applications to chemical reactor systems. IEEE Trans Circuits Syst II Exp Briefs. 2019; 66(11): 1845-1849.
10.1109/TCSII.2018.2890654
Web of Science® Google Scholar
36Swaroop D, Hedrick JK, Yip PP, Gerdes JC. Dynamic surface control for a class of nonlinear systems. IEEE Trans Automat Control. 2000; 45(10): 1893-1899.
10.1109/TAC.2000.880994
Web of Science® Google Scholar

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Volume33, Issue6

April 2023

Pages 3874-3888

Global output feedback control for large-scale time-delay systems with inherent nonlinearities and measurement uncertainty

Abstract

CONFLICT OF INTEREST

Open Research

DATA AVAILABILITY STATEMENT

REFERENCES

Citing Literature

References

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Global output feedback control for large-scale time-delay systems with inherent nonlinearities and measurement uncertainty

Abstract

CONFLICT OF INTEREST

Open Research

DATA AVAILABILITY STATEMENT

REFERENCES

Citing Literature

References

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