Bound H-infinity Control of CSTRs Subject to Asymmetric Prescribed Performance under Unknown Initial Tracking Conditions.

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Title:	Bound H-infinity Control of CSTRs Subject to Asymmetric Prescribed Performance under Unknown Initial Tracking Conditions.
Authors:	Liu, Xinen¹ 221081100045@stu.ustl.edu.cn, Wang, Yuchen² 3028899566@qq.com, Du, Zhongbo³ 24468336@qq.com, Wang, Yiyang⁴ 40502022@qq.com, Guo, Haifeng³ guohaifeng15@mails.ucas.edu.cn, Qu, Qiang⁵ quqiang@ustl.edu.cn
Source:	IAENG International Journal of Applied Mathematics. Apr2026, Vol. 56 Issue 4, p1506-1516. 11p.
Subjects:	Continuous flow reactors, Adaptive control systems, Lyapunov stability, Backstepping control method, Artificial neural networks, Robust control
Abstract:	An adaptive tracking control method based on an asymmetric prescribed performance function is proposed to address the control challenges of continuous stirred tank reactor systems. Compared to the limitations of traditional symmetric prescribed performance control--namely, excessive constraint space in the initial phase leading to insufficient suppression of tracking error fluctuations and the requirement to assume the initial value of tracking error lies within the constraint space--this paper integrates the use of obstacle Lyapunov functions, novel asymmetric prescribed performance functions, neural networks, dynamic surfaces, hyperbolic tangent functions, and the backstepping method. This approach designs an asymmetric prescribed performance controller with an innovative structure. The stability of the closed-loop system is demonstrated through Lyapunov stability theory, ensuring tracking error convergence within the equilibrium neighborhood. This approach eliminates dependency on traditional prescribed performance initial conditions, reduces tracking error fluctuations, and enhances system robustness against external disturbances. Simulation results validate the effectiveness and superiority of the control strategy. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	An adaptive tracking control method based on an asymmetric prescribed performance function is proposed to address the control challenges of continuous stirred tank reactor systems. Compared to the limitations of traditional symmetric prescribed performance control--namely, excessive constraint space in the initial phase leading to insufficient suppression of tracking error fluctuations and the requirement to assume the initial value of tracking error lies within the constraint space--this paper integrates the use of obstacle Lyapunov functions, novel asymmetric prescribed performance functions, neural networks, dynamic surfaces, hyperbolic tangent functions, and the backstepping method. This approach designs an asymmetric prescribed performance controller with an innovative structure. The stability of the closed-loop system is demonstrated through Lyapunov stability theory, ensuring tracking error convergence within the equilibrium neighborhood. This approach eliminates dependency on traditional prescribed performance initial conditions, reduces tracking error fluctuations, and enhances system robustness against external disturbances. Simulation results validate the effectiveness and superiority of the control strategy. [ABSTRACT FROM AUTHOR]
ISSN:	19929978