Research Papers

Reliable Dissipative Sampled-Data Control for Uncertain Systems With Nonlinear Fault Input

[+] Author and Article Information
R. Sakthivel

Department of Mathematics,
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

D. Aravindh

Department of Mathematics,
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

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 11(4), 041008 (Dec 04, 2015) (9 pages) Paper No: CND-15-1201; doi: 10.1115/1.4031980 History: Received July 06, 2015; Revised October 29, 2015

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, H 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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Liu, P. L. , 2014, “ Further Results on Delay-Range-Dependent Stability With Additive Time-Varying Delay Systems,” ISA Trans., 53(2), pp. 258–266. [CrossRef] [PubMed]
Wu, H. , and Deng, M. , 2015, “ Robust Adaptive Control Scheme for Uncertain Non-Linear Model Reference Adaptive Control Systems With Time-Varying Delays,” IET Control Theory Appl., 9(8), pp. 1181–1189. [CrossRef]
Wei, Y. , Zheng, W. X. , and Xu, S. , 2015, “ Robust Output Feedback Control of Uncertain Time-Delay Systems With Actuator Saturation and Disturbances,” J. Franklin Inst., 352(5), pp. 2229–2248. [CrossRef]
Li, X. J. , and Yang, G. H. , 2015, “ Adaptive H ∞ Control in Finite Frequency Domain for Uncertain Linear Systems,” Inf. Sci., 314, pp. 14–27. [CrossRef]
Jin, Y. , Fu, J. , Zhang, Y. , and Jing, Y. , 2014, “ Reliable Control of a Class of Switched Cascade Nonlinear Systems With Its Application to Flight Control,” Nonlinear Anal. Hybrid Syst., 11, pp. 11–21. [CrossRef]
Hu, H. , Jiang, B. , and Yang, H. , 2013, “ Non-Fragile H2 Reliable Control for Switched Linear Systems With Actuator Faults,” Sig. Process., 93(7), pp. 1804–1812. [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]
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]
Wu, Z. G. , Shi, P. , Su, H. , and Chu, J. , 2012, “ Reliable H ∞ Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delay,” IEEE Trans. Fuzzy Syst., 20(1), pp. 22–31. [CrossRef]
Yu, X. , and Zhang, Y. , 2015, “ Design of Passive Fault-Tolerant Flight Controller Against Actuator Failure,” Chin. J. Aeronaut., 28(1), pp. 180–190. [CrossRef]
Li, S. , Yang, L. , Li, K. , and Gao, Z. , 2014, “ Robust Sampled-Data Cruise Control Scheduling of High Speed Train,” Transp. Res. Part C, 46, pp. 274–283. [CrossRef]
Guo, G. , and Yue, W. , 2014, “ Sampled-Data Cooperative Adaptive Cruise Control of Vehicles With Sensor Failures,” IEEE Trans. Intell. Transp. Syst., 15(6), pp. 2404–2418. [CrossRef]
Sakthivel, R. , Arunkumar, A. , and Mathiyalagan, K. , 2015, “ Robust Sampled-Data H ∞ Control for Mechanical Systems,” Complexity, 20(4), pp. 19–29. [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. [CrossRef]
Kim, D. W. , and Lee, H. J. , 2012, “ Sampled-Data Observer-Based Output-Feedback Fuzzy Stabilization of Nonlinear Systems: Exact Discrete-Time Design,” Fuzzy Sets Syst., 201, pp. 20–39. [CrossRef]
Ge, C. , Zhang, W. , Li, W. , and Sun, X. , 2015, “ Improved Stability Criteria for Synchronization of Chaotic Lur'e Systems Using Sampled-Data Control,” Neurocomputing, 151(1), pp. 215–222. [CrossRef]
Sakthivel, R. , Selvi, S. , and Mathiyalagan, K. , 2015, “ Fault-Tolerant Sampled-Data Control of Flexible Spacecraft With Probabilistic Time Delays,” Nonlinear Dyn., 79(3), pp. 1835–1846. [CrossRef]
Liu, Y. , and Li, M. , 2015, “ Improved Robust Stabilization Method for Linear Systems With Interval Time-Varying Input Delays by Using Wirtinger Inequality,” ISA Trans., 56, pp. 111–122. [CrossRef] [PubMed]
He, Y. , Wang, Q. G. , Xie, L. , and Lin, C. , 2007, “ Further Improvement of Free Weighting Matrices Technique for Systems With Time-Varying Delay,” IEEE Trans. Autom. Control, 52(2), pp. 293–299. [CrossRef]
Liu, Y. , Lee, S. M. , Kwon, O. M. , and Park, J. H. , 2013, “ Delay-Dependent Exponential Stability Criteria for Neutral Systems With Interval Time-Varying Delays and Nonlinear Perturbations,” J. Franklin Inst., 350(10), pp. 3313–3327. [CrossRef]
Wang, H. , Xue, A. , and Lu, R. , 2014, “ New Stability Criteria for Singular Systems With Time-Varying Delay and Nonlinear Perturbations,” Int. J. Syst. Sci., 45(12), pp. 2576–2589. [CrossRef]
Liu, P. L. , 2013, “ Further Improvement on Delay-Range-Dependent Stability Results for Linear Systems With Interval Time-Varying Delays,” ISA Trans., 52(6), pp. 725–729. [CrossRef] [PubMed]
Gassara, H. , El Hajjaji, A. , Kchaou, M. , and Chaabane, M. , 2014, “ Observer Based (Q, V, R)-α-Dissipative Control for T-S Fuzzy Descriptor Systems With Time Delay,” J. Franklin Inst., 351(1), pp. 187–206. [CrossRef]
Wang, J. , Park, J. H. , Shen, H. , and Wang, J. , 2013, “ Delay-Dependent Robust Dissipativity Conditions for Delayed Neural Networks With Random Uncertainties,” Appl. Math. Comput., 221, pp. 710–719. [CrossRef]
Feng, Z. , and Lam, J. , 2012, “ Robust Reliable Dissipative Filtering for Discrete Delay Singular Systems,” Sig. Process., 92(12), pp. 3010–3025. [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. [CrossRef]
Zhang, Y. , Wang, Q. , Dong, C. , and Jiang, Y. , 2013, “ H ∞ Output Tracking Control for Flight Control Systems With Time-Varying Delay,” Chin. J. Aeronaut., 26(5), pp. 1251–1258. [CrossRef]
Liu, P. L. , 2009, “ Robust Exponential Stability for Uncertain Time-Varying Delay Systems With Delay Dependence,” J. Franklin Inst., 346(10), pp. 958–968. [CrossRef]


Grahic Jump Location
Fig. 1

Simulation results for uncertain system in the absence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance

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Fig. 2

Simulation results for uncertain system in presence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance

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Fig. 3

State trajectory of open-loop system

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Fig. 5

H∞ simulation results for uncertain system in presence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance

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Fig. 6

Mixed H∞ and passivity simulation results for uncertain system in presence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance

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Fig. 7

Sector bounded constraint simulation results for uncertain system in presence of nonlinear fault: (a) state trajectory of closed-loop system and (b) control performance



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