State Feedback PI-Controller for Robust Stability Analysis and Stabilization of Input-Delayed Systems - Volume 6, No. 1, June 2018 - International Journal of Electrical Energy (IJOEE)

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State Feedback PI-Controller for Robust Stability Analysis and Stabilization of Input-Delayed Systems

Dushmanta Kumar Das 1, Sandip Ghosh 2, and B. Subudhi 3
1. Department of EEE, NIT, Nagaland, India
2. Dept. of EEE, IIT, BHU, India
3. Dept. of EEE, NIT, Rourkela, India

Abstract—An approach is proposed in this paper to derive a delay-dependent robust stabilization criterion for uncertain input-delayed system in Linear Matrix Inequality (LMI) framework using Proportional-Integral (PI) controller. By adding integral control action for the state feedback stabilization the degree of freedom of the controller increases as a result of which the robustness increases. The matrix variables are involved in the Lyapunov-Krasovskii approach for deriving a less conservative stabilization criterion. The obtained criterion is validated by a well-known example with some existing results.

Index Terms—time-delay system, PI controller, Lyapunov-Krasovskii functional

Cite: Dushmanta Kumar Das, Sandip Ghosh, and B. Subudhi, "State Feedback PI-Controller for Robust Stability Analysis and Stabilization of Input-Delayed Systems," International Journal of Electrical Energy, Vol. 6, No. 1, pp. 26-31, June 2018. doi: 10.18178/ijoee.6.1.26-31

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