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Unknown input observer for linear non-minimum phase systems
Authors:Min-Shin Chen  Chi-Che Chen
Institution:Department of Mechanical Engineering, National Taiwan University, Taipei 106, Taiwan, Republic of China
Abstract:An unknown input observer is to estimate the system state of a dynamic system subject to unknown input excitations. In this note, by assuming that at each time instant, the unknown input can be approximated by a polynomial over a local time interval, a finite-time observer is proposed to achieve approximate joint state and input estimation. Both the obtained state and input estimates are moving averages of the present and past output signals. The advantage of the proposed design is that it can be applied to non-minimum phase systems or systems with non-unity relative degree. Notice that most previous unknown input observer designs require the system to be minimum-phase and relative degree one.
Keywords:Unknown input observer  Discrete-time linear system  Non-minimum phase system  Robust observer
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