Finite Time Sliding Mode Controller based on Reduced-Order Observer for the Mismatched Uncertain Systems with a Time Delay
Yao-Wen Tsai1, Cong-Trang Nguyen2
1Yao-Wen Tsai, Mechanical and Automation Engineering, Da-Yeh University, Changhua 51591, Taiwan R.O.C.
2Cong-Trang Nguyen, Mechanical and Automation Engineering, Da-Yeh University, Changhua 51591, Taiwan R.O.C.
Manuscript received on 15 February 2017 | Revised Manuscript received on 22 February 2017 | Manuscript Published on 28 February 2017 | PP: 141-148 | Volume-6 Issue-3, February 2017 | Retrieval Number: C4862026317/17©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This paper presents the design of the finite time sliding mode controller based on reduced order observer for time-delay systems with mismatched uncertainties. The main achievements of work are: (1) a suitable reduced order observer (ROO) is constructed to estimate the unmeasurable state variables, (2) a finite time sliding mode controller (FTSMC) is designed by employing the estimated variables, and (3) by the application of the Lyapunov stability theory and the linear matrix inequality (LMI) technique, the stability of the overall closed-loop mismatched uncertain systems with a time delay is guaranteed in sliding mode under sufficient condition. Finally, the design procedure is given to summarize the proposed method.
Keywords: Variable Structure Control (VSC), Reducedorder Observer (ROO), Finite-Time Convergence, Mismatched Uncertainty, Time-Varying Delay.
Scope of the Article: Control and Automation