A new PI-based optimal linear quadratic state-estimate tracker for discrete-time non-square non-minimum phase systems |
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Authors: | Jason Sheng-Hong Tsai Ying-Ting Liao Zih-Wei Lin Faezeh Ebrahimzadeh Leang-San Shieh |
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Affiliation: | 1. Department of Electrical Engineering, National Cheng-Kung University, Tainan, Taiwan, ROC;2. Department of Electrical and Computer Engineering, University of Houston, Houston, TX, USA |
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Abstract: | A new proportional–integral (PI)-based optimal linear quadratic state-estimate tracker, derived using a proportional–integral–derivative (PID) filter-based frequency-domain shaping approach, is proposed in this paper for discrete-time non-square non-minimum phase multi-input-multi-output systems. Subsequently, a new integrated PID filter-shaped optimal PI state estimator is presented for the aforementioned systems, so that both the proposed state estimator and the state-estimate tracker are able to achieve satisfactory minimum phase-like tracking performance, for the case of arbitrary command inputs with significant variations at some isolated time instants. |
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Keywords: | Optimal linear quadratic estimator frequency shaping PID filter non-minimum phase system control zeros |
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