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Output feedback preview control for periodic systems
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  • Li Li,
  • Yaofeng Zhang,
  • Xu Xu,
  • Hui Ye
Li Li
Wuhan University School of Mathematics and Statistics

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Yaofeng Zhang
Wuhan University School of Mathematics and Statistics
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Xu Xu
Wuhan University School of Mathematics and Statistics
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Hui Ye
Wuhan University School of Mathematics and Statistics
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Abstract

In this paper, the static output periodic preview control (SOPPC) problem of discrete-time periodic systems (D-TPSs) is proposed. First, an augmented error periodic system (AEPS) is derived by introducing auxiliary variables related to the system state and input. Consequently, the SOPPC problem is transformed into a stabilization problem. Second, sufficient conditions are derived to ensure asymptotic stability, and these conditions are extended to the D-TPSs with disturbance. Moreover, the corresponding solvability condition for the design of the SOPPC laws is proposed using linear matrix inequality (LMI). Finally, a numerical example is used to illustrate the effectiveness of the results.