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Robust Sliding Mode Control for Time Delay Systems: An Application to Load Frequency Control

K. Naresh*, Y. Srinivasa Rao**, M. Kiran Kumar***

*-**-*** Department of Electrical and Electronics Engineering, K.L. University, Vaddeswaram, India.

Periodicity:December - February'2013
DOI : https://doi.org/10.26634/jele.3.2.2118

Abstract

This thesis presents robust sliding mode control for a class of linear continuous time delay systems with mismatched parametric uncertainties. The problem of delay in-dependent as well as delay dependent stability analysis has been studied and subsequently robust control with sliding mode control are also investigated for uncertain time delay systems. Delay independent as well as delay dependent sufficient conditions for the existence of linear sliding surface which are in terms of linear matrix inequality (LMI) frame work are studied, based on which the design of reaching motion controller is also studied. The objective of the present work is to implement the delay dependent stability analysis of LMI approach with sliding mode control to uncertain power system model with communication delay for load frequency control. The reaching motion controller is switched to two other control strategies namely, (i) equivalent Control Law and (ii) State Feedback Law.

Keywords

Fuzzy control, nonlinear control, PI/PD control, Mamdani controller, mathematical model.

How to Cite this Article?

Naresh, K., Rao, Y.S., and Kumar, M.K. (2013). Robust Sliding Mode Control for Time Delay Systems: an Application to Load Frequency Control. i-manager’s Journal on Electronics Engineering, 3(2), 16-26. https://doi.org/10.26634/jele.3.2.2118

References

[1]. Yuanqing Xia, & Yingmin Jia. (2003). “Robust sliding mode control for Uncertain Time-delay systems: An LMI approach,” IEEE Trans. Automat. Contr, Vol 42, NO 6, June.

[2]. Yuanqing Xia, Guo-Ping Liu, Peng Shi, Jie Chen and David Rees. (2008). “Robust delay-dependent sliding mode control for uncertain time-delay systems,” International Journal of Robust and Nonlinear Control.

[3]. Weibing Gao, (1993). “Variable structure control of non-linear systems: A New approach,” IEEE Trans on Industrial Electronics, Vol 40, No 1, Feb.

[4]. Boyd. S., Ghaoui L. El., Feron E. and Balakrishnan V. (1994). “LMI in systems and control theory”, Vol15, SIAM, Philadelphia.

[5]. Li Xi and Souza Ce.de. (1997). “Criteria for robust stability and stabilization of uncertain linear systems with state delays”, Automica, Vol33, No.9, 1657-1662.

[6]. Christopher Edwards and Sarah K . Spurgeon. Sliding Mode Control: Theory and Applications.

[7]. V.I. Utkin. Sliding Modes and their Application in Variable structure Systems, MIR Publishers Moscow.

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Robust Sliding Mode Control for Time Delay Systems: An Application to Load Frequency Control

Abstract

Keywords

How to Cite this Article?

References

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