Observer-based Single-Phase Robustness Variable Structure Controller for Uncertain Interconnected Systems without Reaching Phase
- Authors
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Cong Trang Nguyen
Power System Optimization Research Group, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University
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Thang Trung Nguyen
Power System Optimization Research Group, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University
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Hien Trong Chiem
Faculty of Electrical Engineering and Electronics, Ho Chi Minh City University of Food Industry
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- Abstract
- This paper proposes a decentralized single phase robustness variable structure controller (SPRVSC) for complex uncertain interconnected systems satisfying mismatching condition. A key achievement of this study is to eliminate reaching phase in variable structure control theory. A switching surface is specifically designed such that a robust performance against extraneous perturbations is accurately assured from the initial time of the motion. A reduced order estimator (ROE) with lower-dimensional systems is designed to estimate the plant’s state variables which are not measured. Based on the ROE and Moore-Penrose inverse technique, a decentralized SPRVSC is explored for uncertain systems with mismatched interconnections and unknown disturbances. Furthermore, a sufficient condition is derived by Lyapunov approach and linear matrix inequalities (LMI) technique for guaranteeing the robust stability of motion dynamics in sliding mode. Finally, a numerical example is also confirmed by MATLAB software for showing the effectiveness of the proposed method.
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- Published
- 2019-06-28
- Issue
- Vol. 21 No. 2 (2019)
- Section
- Articles