0
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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Gassara, H. , Hajjaji, A. E. , Kchaou, M. , and Chaabane, M. , 2014, “ Robust H Reliable Control of Time Delay Nonlinear Systems Via Takagi–Sugeno Fuzzy Models,” Int. J. Syst. Sci., 45(3), pp. 667–681. [CrossRef]
Kwon, O. M. , Park, M. J. , Park, J. H. , Lee, S. M. , and Cha, E. J. , 2014, “ Improved Results on Stability of Linear Systems With Time-Varying Delays Via Wirtinger-Based Integral Inequality,” J. Franklin Inst., 351(12), pp. 5386–5398. [CrossRef]
Moon, Y. S. , Park, P. , Kwon, W. H. , and Lee, Y. S. , 2001, “ Delay-Dependent Robust Stabilization of Uncertain State-Delayed Systems,” Int. J. Control, 74(14), pp. 1447–1455. [CrossRef]
Park, M. J. , Kwon, O. M. , Park, J. H. , Lee, S. M. , and Cha, E. J. , 2015, “ Stability of Time-Delay Systems Via Wirtinger-Based Double Integral Inequality,” Automatica, 55, pp. 204–208. [CrossRef]
Su, L. , and Shen, H. , 2015, “ Mixed H/Passive Synchronization for Complex Dynamical Networks With Sampled-Data Control,” Appl. Math. Comput., 259, pp. 931–942.
Wang, Z. , Zhai, J. , Ai, W. , and Fei, S. , 2015, “ Global Practical Tracking for a Class of Uncertain Nonlinear Systems Via Sampled-Data Control,” Appl. Math. Comput., 260, pp. 257–268.
Geromel, J. C. , and Gabriel, G. W. , 2015, “ Optimal H2 State Feedback Sampled-Data Control Design of Markov Jump Linear Systems,” Automatica, 54, pp. 182–188. [CrossRef]
Kim, H. J. , Koo, G. B. , Park, J. B. , and Joo, Y. H. , 2015, “ Decentralized Sampled-Data H Fuzzy Filter for Nonlinear Large-Scale Systems,” Fuzzy Set Syst., 273, pp. 68–86. [CrossRef]
Li, H. , Jing, X. , Lam, H. K. , and Shi, P. , 2014, “ Fuzzy Sampled-Data Control for Uncertain Vehicle Suspension Systems,” IEEE Trans. Cybernet., 44(7), pp. 1111–1126. [CrossRef]
Wei, G. , Wang, L. , and Liu, Y. , 2015, “ H Control for a Class of Multi-Agent Systems Via a Stochastic Sampled-Data Method,” IET Control Theory Appl., 9(14), pp. 2057–2065. [CrossRef]
Li, H. , Sun, X. , Shi, P. , and Lam, H. K. , 2015, “ Control Design of Interval Type-2 Fuzzy Systems With Actuator Fault: Sampled-Data Control Approach,” Inf. Sci., 302, pp. 1–13. [CrossRef]
Sakthivel, R. , Santra, S. , Mathiyalagan, K. , and Anthoni, S. M. , 2014, “ Robust Reliable Sampled-Data Control for Offshore Steel Jacket Platforms With Nonlinear Perturbations,” Nonlinear Dyn., 78(2), pp. 1109–1123. [CrossRef]
Huang, S. , and Xiang, Z. , 2013, “ Robust L Reliable Control for Uncertain Switched Nonlinear Systems With Time Delay Under Asynchronous Switching,” Appl. Math. Comput., 222, pp. 658–670.
Sakthivel, R. , Selvi, S. , Mathiyalagan, K. , and Arunkumar, A. , 2015, “ Robust Reliable Sampled-Data H Control for Uncertain Stochastic Systems With Random delay,” Complexity, 21(1), pp. 42–58. [CrossRef]
Li, H. , Liu, H. , Gao, H. , and Shi, P. , 2012, “ Reliable Fuzzy Control for Active Suspension Systems With Actuator Delay and Fault,” IEEE Trans. Fuzzy Syst., 20(2), pp. 342–357. [CrossRef]
Sakthivel, R. , Rathika, M. , Santra, S. , and Zhu, Q. , 2015, “ Dissipative Reliable Controller Design for Uncertain Systems and Its Application,” Appl. Math. Comput., 263, pp. 107–121.
Jia, H. , Xiang, Z. , and Karimi, H. R. , 2014, “ Robust Reliable Passive Control of Uncertain Stochastic Switched Time-Delay Systems,” Appl. Math. Comput., 231, pp. 254–267.
Lin, J. , Shi, Y. , Fei, S. , and Gao, Z. , 2013, “ Reliable Dissipative Control of Discrete-Time Switched Singular Systems With Mixed Time Delays and Stochastic Actuator Failures,” IET Control Theory Appl., 7(11), pp. 1447–1462. [CrossRef]
Willems, J. C. , 1972, “ Dissipative Dynamical Systems—Part I: General Theory,” Arch. Ration. Mech. Anal., 45(5), pp. 321–351. [CrossRef]
Feng, Z. , and Lam, J. , 2012, “ Robust Reliable Dissipative Filtering for Discrete Delay Singular Systems,” Signal Process., 92(12), pp. 3010–3025. [CrossRef]
Song, J. , and He, S. , 2015, “ Finite-Time Robust Passive Control for a Class of Uncertain Lipschitz Nonlinear Systems With Time-Delays,” Neurocomputing, 159, pp. 275–281. [CrossRef]
Tao, J. , Su, H. , Lu, R. , and Wu, Z. G. , 2016, “ Dissipativity-Based Filtering of Nonlinear Periodic Markovian Jump Systems: The Discrete-Time Case,” Neurocomputing, 171, pp. 807–814. [CrossRef]
Ahn, C. K. , Shi, P. , and Basin, M. V. , 2015, “ Two-Dimensional Dissipative Control and Filtering for Roesser Model,” IEEE Trans. Autom. Control, 60(7), pp. 1745–1759. [CrossRef]
Su, L. , and Shen, H. , 2015, “ Fault-Tolerant Dissipative Synchronization for Chaotic Systems Based on Fuzzy Mixed Delayed Feedback,” Neurocomputing, 151, pp. 1407–1413. [CrossRef]
Shen, H. , Wu, Z. G. , Park, J. H. , and Zhang, Z. , 2015, “ Extended Dissipativity-Based Synchronization of Uncertain Chaotic Neural Networks With Actuator Failures,” J. Franklin Inst., 352(4), pp. 1722–1738. [CrossRef]
Ma, Y. , Chen, M. , and Zhang, Q. , 2015, “ Memory Dissipative Control for Singular T-S Fuzzy Time-Varying Delay Systems Under Actuator Saturation,” J. Franklin Inst., 352(10), pp. 3947–3970. [CrossRef]
Xiang, W. , Xiao, J. , and Zhai, G. , 2015, “ Dissipativity and Dwell Time Specifications of Switched Discrete-Time Systems and Its Applications in H∞ and Robust Passive Control,” Inf. Sci., 320, pp. 206–222. [CrossRef]

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

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In