A new PI-based optimal linear quadratic state-estimate tracker for discrete-time non-square non-minimum phase systems

Jason Sheng-Hong Tsai, Ying-Ting Liao, Zih-Wei Lin, Faezeh Ebrahimzadeh, Shu-Mei Guo, Leang-San Shieh and Jose I. Canelon

International Journal of Systems Science, 2018, vol. 49, issue 9, 1856-1877

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.

Date: 2018
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DOI: 10.1080/00207721.2018.1479461

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