Stability Analysis of Uncertain Temperature control system with two additive delays and nonlinear perturbation
DOI:
https://doi.org/10.24297/jac.v13i10.5889Keywords:
Temperature contro, additive delaysAbstract
In this paper, the problem of robust delay-dependent stability criterion is considered for a class of linear continuous time heat exchanger system with constant additive state-delays and bounded nonlinear perturbations using Lyapunov-Krasovskii (LK) functional approach. In the proposed delay-dependent stability analysis, the time-delays are considered to be time-invariant. In the proposed delay-dependent stability analysis, a candidate LK functional is considered, and take the time-derivative of the functional is bounded using the Jenson integral inequality. The proposed stability analysis finally culminates into a stability criterion in LMI framework. The effectiveness of the proposed stability criterion is illustrated using a network controlled temperature control of heat exchanger system
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References
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[2]. J. Lam, H. Gao, C, “Wang. Stability analysis for continuous systems with two additive time-varying delay components,†system and control Letters, vol. 56, no.1, pp.16-24, 2007.
[3]. H. Gao, T. Chng, J. Lam, “A new delay system approach to network based control,†Automatica, vol.44, no. 1, pp.39-52, 2008.
[4]. H. Wu, X. Liao, W. Feng, S. Guo, W. Zhang, “Robust stability analysis of uncertain systems with two additive time-varying delay componentsâ€, Applied Mathematical Modelling, vol. 33, no. 12, pp.4545-4353, 2009.
[5]. K. Ramakrishnan, G. Ray, “Delay-dependent stability analysis of linear system with additive time-varying delaysâ€, 5th Annual IEEE conference on Automation Science and Engineering, Bangalore, pp. 122-126, 2009.
[6]. R. Dev, G. Ray, S. Ghosh, A. Rakshit, “Stability analysis continuous systems with additive time-carrying delays: A less conservative result,†Applied Mathematics and computation, vol.215, no.10, pp.3740-3745, 2010.
[7]. H. Shao, Q.L. Han, “On Stabilization for systems with two additive time-varying input delays arising from networked control system,†Journal of the Franklin Institute, vol. 349, no.6, pp. 2033-2046, 2012.
[8]. H. Shao, X. Zhu, Z. Zhang, “Delay-dependent H_∞ control for systems with two additive time-varying delays,†Journal of control Engineering and Technology, vol. 3, no. 2, pp. 90-97, 2013.
[9]. T. Li, J. Tian, “Convex polyhedron method to stability of continuous systems with two additive time-varying delays components,†Journal of Applied Mathematics, Article ID, 689820, 2012.
[10]. J.W. Ko, W.I. Lee, P.G. Park, “Delayed system approach the stability of networked control systems,†International multi conference of Engineering and computer scientists IMECS 2011, vol. 2.
[11]. J.M. Jiao, “A stability criterion for singular systems with two additive time-varying delay components,†International Journal of Automation and Computing, vol.10, no. 1, pp.39-45, 2013.
[12]. N. Chaibi, E.H. Tisser, A. Hmamed, “Delay-dependent robust stability of singular systems with additive time-varying delays,†International Journal of Automation and Computing, vol.10, no.1, pp. 65-90, 2013.
[13]. B. B. Hamed, M. Chaabane, W. Kacem, “Absolute stability of nonlinear systems with two additive time-varying delay components,†vol. 8, no. 4, pp. 391-402, 2011.
[14]. W. Zhang, X.S. Cai, Z.Z. Han, “Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations,†Journal of Computational and Applied Mathematics, vol.234, no. 1, pp. 174-180, 2010.
[15]. K. W Yu, C. H Lien, “Stability criteria for uncertain neutral systems with interval time-varying delays,†Chaos solutions and Fractals, vol. 38, No. 3, pp. 640-667, 2008.
[16]. X. L. Zhu, G.H. Yang, “Jenson integral inequality approach to stability analysis of continuous-time systems with time-varying delay,†IET control Theory and Applications, vol. 2, no. 6, pp. 524-534, 2008.
[17]. S. Boyd, L. El Ghaoui, E. Feron V. Balakrishnan, “Linear Matrix Inequalities in system and control Theory,†SIAM Studies in Applied Mathematics SIAM, Philedelphia U.S, 1994.
[18]. Chhaya Sharma, Sanjeev Gupta, Vipin Kumar, “Modeling and Simulation of Heat Exchanger Used in Sode Recoveryâ€, Proceedings of the World Congress on Engineering, Vol II, WCE, 2011.
[19]. K. Ramakrishnan, G. Ray, “Stability Criteria for Nonlinearly Perturbed Load Frequency Systems with Time-Delay,†IEEE journal of Emerging and selected topics in Circuits and Systems, vol. 5, no. 3, pp. 383-392, 2015.
[20]. K. Ramakrishnan, G. Ray, “Stability criterion for networked control systems with additive time-varying state-delays and bounded nonlinearity,†International Journal of Systems, Control and Communications, vol. 7, No. 1, pp. 68-82, 2016.
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Published
2017-03-04
How to Cite
Veeraragavan, V., Duraisamy, P., Murugan, T., & Krishnan, R. (2017). Stability Analysis of Uncertain Temperature control system with two additive delays and nonlinear perturbation. JOURNAL OF ADVANCES IN CHEMISTRY, 13(10), 5927–5934. https://doi.org/10.24297/jac.v13i10.5889
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