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Parametric Control to a Type of Quasi-Linear Descriptor Systems via Proportional Plus Derivative Feedback

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Abstract

In this paper, a parametric approach for a type of quasi-linear descriptor systems in which the coefficient matrices include time-variant parameters and system variables is investigated. Inspiring by the solution of a class of generalized Sylvester matrix equations, the generally parameterized expressions of proportional-derivative feedback controller and right eigenvector matrix are established. With the proposed method, the closed-loop system can be transformed into a linear time-invariant one with expected eigenstructure. Finally, two real-world examples are presented to demonstrate the effectiveness of the proposed approach.

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Acknowledgements

We appreciate very much these comments of the anonymous reviewers, which are benefit to the improvement of this paper and our future research. This work was supported in part by National Natural Science Foundation of China (61690210, 61690212).

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  1. School of Automation Engineering, Northeast Electric Power University, Jilin, 132012, China

    Da-Ke Gu & Da-Wei Zhang

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  1. Da-Ke Gu
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Correspondence to Da-Ke Gu.

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Gu, DK., Zhang, DW. Parametric Control to a Type of Quasi-Linear Descriptor Systems via Proportional Plus Derivative Feedback. Circuits Syst Signal Process 39, 1853–1872 (2020). https://doi.org/10.1007/s00034-019-01254-3

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