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Robust dynamical compensator design for discrete-time linear periodic systems

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Abstract

This paper considers dynamical compensators design for purpose of pole assignment for discrete-time linear periodic systems. Similar to linear time-invariant systems, it is pointed out that the design of a periodic dynamical compensator can be converted into the design of a periodic output feedback controller for an augmented system. Utilizing the recent result on output feedback pole assignment, parametric solutions for this problem are obtained. The design approach can be used as a basis for the robust dynamical compensator design for this type of systems. Combined with a robustness index presented in this paper, robust dynamical compensator design problem is converted into a constrainted optimization problem. A numerical example is employed to illustrate the validity and feasibility of the methods.

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  1. Lingling Lv & Haibin Su

    Present address: College of Electric Power, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou, 450011, People’s Republic of China

Authors and Affiliations

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, 150001, People’s Republic of China

    Lingling Lv & Guangren Duan

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  1. Lingling Lv
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  2. Guangren Duan
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  3. Haibin Su
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Correspondence to Lingling Lv.

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Lv, L., Duan, G. & Su, H. Robust dynamical compensator design for discrete-time linear periodic systems. J Glob Optim 52, 291–304 (2012). https://doi.org/10.1007/s10898-011-9666-5

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  • DOI: https://doi.org/10.1007/s10898-011-9666-5

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