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Research Papers

Dissipativity-Based Reliable Sampled-Data Control With Nonlinear Actuator Faults

[+] Author and Article Information
Srimanta Santra

Department of Mathematics,
Anna University Regional Campus,
Coimbatore 641046, India
e-mail: antrasrimanta7@gmail.com

R. Sakthivel

Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea;
Sri Ramakrishna Institute of Technology,
Coimbatore 641010, India
e-mail: krsakthivel@yahoo.com

B. Kaviarasan

Department of Mathematics,
Sri Ramakrishna Institute of Technology,
Coimbatore 641010, India
e-mail: bkavi1000@gmail.com

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 15, 2015; final manuscript received June 14, 2016; published online July 22, 2016. Assoc. Editor: Haiyan Hu.

J. Comput. Nonlinear Dynam 11(6), 061006 (Jul 22, 2016) (9 pages) Paper No: CND-15-1375; doi: 10.1115/1.4034047 History: Received November 15, 2015; Revised June 14, 2016

In this paper, the problem of reliable sampled-data control design with strict dissipativity for a class of linear continuous-time-delay systems against nonlinear actuator faults is studied. The main objective of this paper is to design a reliable sampled-data controller to ensure a strictly dissipative performance for the closed-loop system. Based on the linear matrix inequality (LMI) optimization approach and Wirtinger-based integral inequality, a new set of sufficient conditions is established for reliable dissipativity analysis of the considered system by assuming the mixed actuator fault matrix to be known. Then, the proposed result is extended to unknown fault matrix case. Also, the reliable sampled-data controller with strict dissipativity is designed by solving a convex optimization problem which can be easily solved by using standard numerical algorithms. Finally, a numerical example based on liquid propellant rocket motor with a pressure feeding system model is presented to illustrate the effectiveness of the developed control design technique.

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Figures

Grahic Jump Location
Fig. 1

State responses of the closed-loop system (7) under dissipativity case: (a) closed-loop system (7) with known Ξ and (b) closed-loop system (7) with unknown Ξ

Grahic Jump Location
Fig. 2

State responses of the closed-loop system (7) under H case: (a) actuator fault matrix is known and (b) actuator fault matrix is unknown

Grahic Jump Location
Fig. 3

State responses of the closed-loop system (7) under passivity case: (a) actuator fault matrix is known and (b) actuator fault matrix is unknown

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