This paper investigates the robust reliable β-dissipative control for uncertain dynamical systems with mixed actuator faults via sampled-data approach. In particular, a more general reliable controller containing both linear and nonlinear parts is constructed for the considered system. Then, by applying the input delay approach, the sampling measurement of the digital control signal is transformed into time-varying delayed one. The aim of this paper is to design state feedback sampled-data controller to guarantee that the resulting closed-loop system to be strictly (Q, S, R)-β-dissipative. By constructing appropriate Lyapunov function and employing a delay decomposition approach, a new set of delay-dependent sufficient stabilization criteria is obtained in terms of linear matrix inequalities (LMIs). Moreover, the obtained LMIs are dependent, not only upon upper bound of time delay but also depend on the dissipative margin β and the actuator fault matrix. As special cases, and passivity control performances can be deduced from the proposed dissipative control result. Finally, numerical simulation is provided based on a flight control model to verify the effectiveness and applicability of the proposed control scheme.
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July 2016
Research-Article
Reliable Dissipative Sampled-Data Control for Uncertain Systems With Nonlinear Fault Input
R. Sakthivel,
R. Sakthivel
Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
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S. Vimal Kumar,
S. Vimal Kumar
Department of Mathematics,
RVS Technical Campus-Coimbatore,
Coimbatore 641402, India
e-mail: svimalkumar16@gmail.com
RVS Technical Campus-Coimbatore,
Coimbatore 641402, India
e-mail: svimalkumar16@gmail.com
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D. Aravindh,
D. Aravindh
Department of Mathematics,
PPG Institute of Technology,
Coimbatore 641035, India
e-mail: aravindhjkk@gmail.com
PPG Institute of Technology,
Coimbatore 641035, India
e-mail: aravindhjkk@gmail.com
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P. Selvaraj
P. Selvaraj
Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
Search for other works by this author on:
R. Sakthivel
Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
Sungkyunkwan University,
Suwon 440-746, South Korea
e-mail: krsakthivel@yahoo.com
S. Vimal Kumar
Department of Mathematics,
RVS Technical Campus-Coimbatore,
Coimbatore 641402, India
e-mail: svimalkumar16@gmail.com
RVS Technical Campus-Coimbatore,
Coimbatore 641402, India
e-mail: svimalkumar16@gmail.com
D. Aravindh
Department of Mathematics,
PPG Institute of Technology,
Coimbatore 641035, India
e-mail: aravindhjkk@gmail.com
PPG Institute of Technology,
Coimbatore 641035, India
e-mail: aravindhjkk@gmail.com
P. Selvaraj
Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 6, 2015; final manuscript received October 29, 2015; published online December 4, 2015. Assoc. Editor: Haiyan Hu.
J. Comput. Nonlinear Dynam. Jul 2016, 11(4): 041008 (9 pages)
Published Online: December 4, 2015
Article history
Received:
July 6, 2015
Revised:
October 29, 2015
Citation
Sakthivel, R., Vimal Kumar, S., Aravindh, D., and Selvaraj, P. (December 4, 2015). "Reliable Dissipative Sampled-Data Control for Uncertain Systems With Nonlinear Fault Input." ASME. J. Comput. Nonlinear Dynam. July 2016; 11(4): 041008. https://doi.org/10.1115/1.4031980
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