Combination of Functional and Disturbance Observer for Positive Systems with Disturbances

Lanai Huang, Xudong Zhao (), Fengyu Lin and Junfeng Zhang
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Lanai Huang: School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China
Xudong Zhao: School of Artificial Intelligence, Dalian University of Technology, Dalian 116024, China
Fengyu Lin: School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China
Junfeng Zhang: School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China

Mathematics, 2022, vol. 11, issue 1, 1-13

Abstract: This technique note proposes two classes of functional and disturbance observers for positive systems with structural and non-structural disturbances, respectively. A positive functional observer is first proposed for positive systems by introducing the estimation of disturbance to the observer. By developing the disturbance observer technique, a positive disturbance observer is designed to supply the estimation of disturbance in the functional observer. Then, a new unknown input observer is constructed for positive systems. A matrix decomposition method is employed to design the observer gains. All conditions are described in terms of linear programming. The corresponding algorithms are addressed for computing the presented conditions. Finally, two examples are provided to verify the effectiveness of the theoretical findings.

Keywords: functional observer; disturbance observer; positive systems; linear programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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