Adaptive Dynamic Output-feedback Control for Chemical Continuous Stirred Tank Reactor System with Nonlinear Uncertainties and Multiple Time-delays
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This paper addresses the dynamic-output-feedback control problem for a class of nonlinear system with nonlinear uncertainties and multiple time-delays. Compared with the previous work, the time delay parameters of the system are both multiple and time-varying, and the results are further extended to the chemical continuous stirred tank reactor (CSTR) case. First, the system is decomposed into two subsystems based on the output and input matrix. Secondly, a dynamic compensator is designed for the first subsystem, and the output feedback controller is further employed based on the second subsystem and the compensator. Moreover, by using the introduced LyapunovKrasovskii functional, it can be seen that the solutions of the resultant closed-loop system converge to an adjustable bounded region. In this paper, the uncertainties are in the nonlinear form and bounded by nonlinear functions with unknown gains. And the control design conditions are relaxed because of the developed dynamic compensator. Finally, the simulations for a chemical (CSTR) case are performed to show the effectiveness of the main results.
KeywordsChemical continuous stirred tank reactor exponential stability Lyapunov-Krasovskii functional multiple time-delays output-feedback stabilization
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- X. G. Yan, S. K. Spurgeon, and C. Edwards, “Static output feedback sliding mode control for time-varying delay systems with time-delayed non-linear disturbances,” Proc. of The 17th IFAC World Congress, Korea, Seoul, pp. 6–11, July 2008.Google Scholar
- Y. L. Wei, J. B. Qiu, P. Shi, and M. Chadli, “Fixed-order piecewise-affine output feedback controller for fuzzyaffine-model-based nonlinear systems with time-varying delay,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 64, no. 4, pp. 945–958, December 2017.CrossRefGoogle Scholar
- C. C. Hua, L. Zhang, and X. P. Guan, “Decentralized output feedback controller design for nonlinear interconnected systems with unknown control direction and time-varying delays,” International Journal of Adaptive Control & Signal Processing, vol. 28, no. 11, pp. 1160–1173, September 2015.MathSciNetCrossRefzbMATHGoogle Scholar