Dual-Mode Robust Fuzzy Model Predictive Control of Time-Varying Delayed Uncertain Nonlinear Systems With Perturbations

For time-varying delayed nonlinear systems with parameter uncertainties and persistent disturbances, an online and an offline robust fuzzy model predictive control (RFMPC) algorithms are proposed in this paper. Both methods guarantee the input-to-state stability (ISS) of the system. Furthermore, a n...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2023-07, Vol.31 (7), p.1-15
Main Authors: Guo, Xuyang, Wang, Zhuping, Zhang, Changzhu, Zhang, Hao, Huang, Chao
Format: Article
Language:English
Subjects:
Algorithms
Alternative optimization
bilinear matrix inequalities
Computational modeling
Constraints
Control algorithms
Fuzzy control
Fuzzy systems
lyapunov-razumikhin
Nonlinear systems
Optimal control
Optimization
Parameter uncertainty
Performance degradation
Perturbation
Predictive control
Robust control
robust fuzzy model predictive control
time-varying delay
Time-varying systems
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Summary:For time-varying delayed nonlinear systems with parameter uncertainties and persistent disturbances, an online and an offline robust fuzzy model predictive control (RFMPC) algorithms are proposed in this paper. Both methods guarantee the input-to-state stability (ISS) of the system. Furthermore, a novel alternative optimization (AOP) approach and a dual-mode OP/AOP strategy are proposed to prevent the performance deterioration of the online optimal control (OP) approach due to the challenges in addressing the bilinear matrix inequality (BMI) constraints. With the established AOP and dual-mode OP/AOP techniques, the optimization problem constrained by BMIs is transformed into convex, and a significantly more precise approximation of the ellipsoidal minimal robust positively invariant (EmRPI) set can be calculated. Besides, the system can eventually converge into a more compact ellipsoidal set. These two alternative optimization methods can be easily extended to various nonlinear systems. A numerical example and a continuous-time stirring tank (CSTR) example are provided to validate the effectiveness and advantages of the established methodologies.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2022.3220960