A Decentralized Finite-Time Sliding Mode Controller for Large-Scale Systems: a Moore-Penrose Inverse Approach
Cong-Trang Nguyen1, Yao-Wen Tsai2

1Cong-Trang Nguyen, Mechanical and Automation Engineering, Da-Yeh University, Changhua 51591, Taiwan R.O.C.
2Yao-Wen Tsai, Mechanical and Automation Engineering, Da-Yeh University, Changhua 51591, Taiwan R.O.C. 

Manuscript received on 13 April 2017 | Revised Manuscript received on 20 April 2017 | Manuscript Published on 30 April 2017 | PP: 232-240 | Volume-6 Issue-4, April 2017 | Retrieval Number: D4976046417/17©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: In this paper, a class of uncertain large-scale systems with mismatched uncertainties and unknown disturbances of state variables is considered. First, a novel reduced-order observer (ROO) is designed to estimate un- measurable variables. A novel decentralized finite-time sliding mode controller (DFTSMC) based on measured variables is then established to drive state trajectory of systems to a sliding surface and main a sliding motion on it thereafter in finite time. In addition, a newly appropriate linear matrix inequality (LMI) condition is given such that the system in sliding mode is asymptotically stable. Finally, a numerical simulation is performed which shows the effectiveness and advantages of proposed method.
Keywords: Decentralized Finite Time Sliding Mode Controller (DFTSMC), Reduced-Order Observer (ROO), Finite-Time Convergence, Large-Scale Systems.

Scope of the Article: Large-Scale Cyber Systems