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A parametric method to design dynamic compensator for high-order quasi-linear systems

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Abstract

This research proposes a parametric method to design dynamic compensator for high-order quasi-linear systems. According to the solutions of high-order generalized Sylvester equations, the completely parametric expressions of both the left and right eigenvector matrices and dynamic compensator are established. Based on the proposed method, we transform the closed-loop system into a linear time-invariant system with the desired eigenstructure. Further, the synchronization problem on Genesio–Tesi system and Coullet system is put forward to prove that the parametric method is effective and feasible.

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Funding

This work was supported in part by National Natural Science Foundation of China (Grant Numbers 61690210, 61690212).

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

    Da-Ke Gu & Da-Wei Zhang

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  1. Da-Ke Gu
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  2. Da-Wei Zhang
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Correspondence to Da-Ke Gu.

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Gu, DK., Zhang, DW. A parametric method to design dynamic compensator for high-order quasi-linear systems. Nonlinear Dyn 100, 1379–1400 (2020). https://doi.org/10.1007/s11071-020-05555-0

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