SYNTHESIS OF OPTIMAL ADAPTIVE CONTROL SYSTEMS  FOR A CLASS OF MIMO LINEAR WITH VARIABLE PARAMETERS SYSTEMS UNDER EXOGENOUS DISTURBANCE

Ngô Trí Nam Cường; Lê Văn Chương; Tạ Hùng Cường; Phùng Thị Thanh

doi:10.34238/tnu-jst.7282

SYNTHESIS OF OPTIMAL ADAPTIVE CONTROL SYSTEMS FOR A CLASS OF MIMO LINEAR WITH VARIABLE PARAMETERS SYSTEMS UNDER EXOGENOUS DISTURBANCE

About this article

Received: 03/02/23 Revised: 27/04/23 Published: 28/04/23

Authors

1. Ngo Tri Nam Cuong , Institute of Electrical Engineering and Automation
2. Le Van Chuong, Vinh University
3. Ta Hung Cuong, Vinh University
4. Phung Thi Thanh, Industrial University of Vinh

Abstract

This paper introduces a control system synthesis method for linear MIMO systems with variable parameters and the impact of unmeasured external disturbances, which is very common in industrial fields. For practical applications, optimal control methods are often used for the system to achieve the desired quality parameters. However, this method is limited because it only guarantees the system's robustness when there are uncertain dynamic components and many external effects. Therefore, with the above class of systems, the article synthesizes control rules based on the combination of optimal control and adaptive control to compensate for uncertain components. The results are adaptive control law compensating for the influence of variable parameter components, external disturbances, and optimal controller for dynamic components with fixed parameters. The article's proposed control system is simple, easy to implement, has high control quality, and ensures optimal ability, adaptability, and good interference resistance. Simulation results on Matlab Simulink software show the correctness and effectiveness of the research results.

Keywords

Automatic control; Adaptive control; Optimal control; Parameter identification; Multiple Input - Multiple Output

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References

[1] M. S. Chen and J. M. Wu, “A new model reference adaptive control for linear time-varying systems,” International journal of adaptive control and signal processing, vol. 14, no. 4, pp. 469-479, 2000.

[2] G. H. Yang and D. Ye, “Adaptive robust control synthesis for linear systems with time-varying uncertainties,” IEEE Conference on Industrial Electronics and Applications, 2007, pp. 1727-1730.

[3] A. K. Chakrabarty and S. Bhattacharya, “Lyapunov based two-stage robust model reference adaptive controller for linear plants with time varying bounded uncertainties,” IFAC-PapersOnLine, vol. 49, no. 1, pp. 213-218, 2016.

[4] C. H. Xie and G. H. Yang, “Data-based fault-tolerant control for uncertain linear systems with actuator faults,” IET Control Theory & Applications, vol. 10, no. 3, pp. 265-272, 2016.

[6] C. W. Tao, W. Y. Wang, and M. L. Chan, “Design of sliding mode controllers for bilinear systems with time varying uncertainties,” IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), vol. 34, no. 1, pp. 639-645, 2004.

[7] M. Das and C. Mahanta, “Optimal sliding mode controller for systems with mismatched uncertainty,” IEEE 8th Conference on Industrial Electronics and Applications (ICIEA), 2013, pp. 352-357.

[8] M. L. Chan, C. W. Tao, and T. T. Lee, “Sliding mode controller for linear systems with mismatched time-varying uncertainties,” Journal of the Franklin Institute, vol. 337, no. 2-3, pp. 105-115, 2000.

[9] K. D. Young and Ü. Özgüner, “Sliding-mode design for robust linear optimal control,” Automatica, vol. 33, no. 7, pp. 1313-1323, 1997.

[10] C. W. Tao, M. L. Chan, and T. T. Lee, “Adaptive fuzzy sliding mode controller for linear systems with mismatched time-varying uncertainties,” IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), vol. 33, no. 2, pp. 283-294, 2003.

[11] C. C. Weng and W. S. Yu, “Adaptive fuzzy sliding mode control for linear time-varying uncertain systems,” in IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence), 2008, pp. 1483-1490.

[12] C. W. Tao, J. S. Taur, and M. L. Chan, “Adaptive fuzzy terminal sliding mode controller for linear systems with mismatched time-varying uncertainties,” IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), vol. 34, no. 1, pp. 255-262, 2004.

[13] Z. Zhang, S. Zhang, H. Li, and W. Yan, “Cooperative robust optimal control of uncertain multi-agent systems,” Journal of the Franklin Institute, vol. 357, no. 14, pp. 9467-9483, 2020.

[14] M. Das and C. Mahanta, “Optimal adaptive sliding mode controller for linear uncertain systems,” IEEE International Conference on Signal Processing, Computing and Control (ISPCC), 2013, pp. 1-5.

[15] H. Tan, S. Shu, and F. Lin, “An optimal control approach to robust tracking of linear systems,” International Journal of Control, vol. 82, no. 3, pp. 525-540, 2009.

[16] P. Andrew, Sage and Chelsea C. White, Optimum systems control. Prentice Hall, Inc. 1977.

[17] M. Athans and P. L. Falb, Optimal Control. McGraw-Hill, New York, 1966.

[18] F. L. Lewis, D. Vrabie, and V. L. Syrmos, Optimal control. John Wiley & Sons, 2012.

[19] J. M. Ortega, Matrix Theory. Plenum Press 1987.

DOI: https://doi.org/10.34238/tnu-jst.7282

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