Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 22, Issue 3, Pages 642-652Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2013.2269698
Keywords
Boundary control; collocated boundary measurement; distributed measurement; distributed parameter systems; Takagi-Sugeno (T-S) fuzzy model
Funding
- National Natural Science Foundation of China [61074057, 61121003, 51175519]
- National Basic Research Program of China (973 Program) [2011CB013104]
- General Research Fund project from Research Grants Council of Hong Kong, SAR [CityU: 116212]
Ask authors/readers for more resources
This paper deals with the problem of fuzzy boundary control design for a class of nonlinear distributed parameter systems which are described by semilinear parabolic partial differential equations (PDEs). Both distributed measurement form and collocated boundary measurement form are considered. A Takagi-Sugeno (T-S) fuzzy PDE model is first applied to accurately represent the semilinear parabolic PDE system. Based on the T-S fuzzy PDE model, two types of fuzzy boundary controllers, which are easily implemented since only boundary actuators are used, are proposed to ensure the exponential stability of the resulting closed-loop system. Sufficient conditions of exponential stabilization are established by employing the Lyapunov direct method and the vector-valued Wirtinger's inequality and presented in terms of standard linear matrix inequalities. Finally, the advantages and effectiveness of the proposed control methodology are demonstrated by the simulation results of two examples.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available