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

Jason Sheng-Hong Tsai, Ying-Ting Liao, Faezeh Ebrahimzadeh, Sheng-Ying Lai, Te-Jen Su, Shu-Mei Guo, Leang-San Shieh and Tzong-Jiy Tsai

International Journal of Systems Science, 2017, vol. 48, issue 7, 1438-1459

Abstract: Based on the proportional-integral-derivative (PID) filter-shaping approach, this paper presents a new proportional-plus-integral (PI) optimal linear quadratic state estimator (LQSE) for the continuous-time non-square and non-minimum phase (NMP) multivariable systems. Together with the recently developed optimal linear quadratic tracker (LQT), the proposed LQSE-based tracker is able to optimally achieve good minimum phase-like tracking performances for a non-square NMP multivariable system with unmeasurable states and arbitrary command inputs.

Date: 2017
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DOI: 10.1080/00207721.2016.1261201

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