The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Fuzzy-Model-Based Reliable Static Output Feedback $\mathscr{H}_{\infty }$ Control of Nonlinear Hyperbolic PDE Systems
Abstract
This paper investigates the problem of output feedback robust ℋ∞control for a class of nonlinear spatially distributed systems described by first-order hyperbolic partial differential equations (PDEs) with Markovian jumping actuator faults. The nonlinear hyperbolic PDE systems are first expressed by Takagi-Sugeno fuzzy models with parameter uncertainties, and then, the objective is to design a reliable distributed fuzzy static output feedback controller guaranteeing the stochastic exponential stability of the resulting closed-loop system with certain ℋ∞disturbance attenuation performance. Based on a Markovian Lyapunov functional combined with some matrix inequality convexification techniques, two approaches are developed for reliable fuzzy static output feedback controller design of the underlying fuzzy PDE systems. It is shown that the controller gains can be obtained by solving a set of finite linear matrix inequalities based on the finite-difference method in space. Finally, two examples are presented to demonstrate the effectiveness of the proposed methods.
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Linear Matrix Inequalities in System and Control Theory
Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970777 · Cited by 21,687
Semigroups of Linear Operators and Applications to Partial Differential Equations
Pazy, A. (1983) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-5561-1 · Cited by 14,262
Faires, J. D. (1978) · Cited by 6,711
Diagnosis and Fault-Tolerant Control
Blanke, M., Kinnaert, M., Lunze, J., & Staroswiecki, M. (2003) · Springer eBooks · doi:10.1007/978-3-662-05344-7 · Cited by 2,789
A Survey on Analysis and Design of Model-Based Fuzzy Control Systems
Feng, G. (2006) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2006.883415 · Cited by 1,671
Guerra, T., & Guerra, T. (2004) · Automatica · doi:10.1016/j.automatica.2003.12.014 · Cited by 878
Model-Based Fault Diagnosis Techniques: Design Schemes, Algorithms and Tools
Ding, S. X. (2013) · Advances in Industrial Control · doi:10.1007/978-1-4471-4799-2 · Cited by 667
Self-citationChristofides, & Chow (2002) · Applied Mechanics Reviews · doi:10.1115/1.1451164 · Cited by 649
Wang, T., Gao, H., & Qiu, J. (2016) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2015.2411671 · Cited by 636
Self-citationBristol, E. H. (1982) · Proceedings of the IEEE · doi:10.1109/proc.1982.12492 · Cited by 571
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Lei, Y., Jia, F., Lin, J., Xing, S., & Ding, S. X. (2016) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2016.2519325 · Cited by 1,191
Self-citationA Robust Observer-Based Sensor Fault-Tolerant Control for PMSM in Electric Vehicles
Kommuri, S. K., Defoort, M., Karimi, H. R., & Veluvolu, K. C. (2016) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2016.2590993 · Cited by 408
Adaptive Neural Control of Stochastic Nonlinear Time-Delay Systems With Multiple Constraints
Wang, T., Qiu, J., & Gao, H. (2017) · IEEE Transactions on Systems, Man, and Cybernetics: Systems · doi:10.1109/tsmc.2016.2562511 · Cited by 170
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Metadata
- Authors
- Qiu, J., Ding, S. X., Gao, H., & Yin, S.
- Venue
- IEEE Transactions on Fuzzy Systems
- Published
- 2016-04
- Volume
- 24
- Issue
- 2
- Pages
- 388-400
- ISSN
- 1063-6706 (ISSN-L)
- 1941-0034
- OpenAlex
- W2338514232
- Cited by
- 382
- References
- 23
- FWCI
- 76.71
- Type
- journal article
- Language
- en
- Open access
- closed
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