Synthesis of H PID controllers: A parametric approach

研究成果: Article同行評審

140 引文 斯高帕斯(Scopus)


This paper considers the problem of synthesizing proportional-integral-derivative (PID) controllers for which the closed-loop system is internally stable and the H-norm of a related transfer function is less than a prescribed level for a given single-input single-output plant. It is shown that the problem to be solved can be translated into simultaneous stabilization of the closed-loop characteristic polynomial and a family of complex polynomials. It calls for a generalization of the Hermite-Biehler theorem applicable to complex polynomials. It is shown that the earlier PID stabilization results are a special case of the results developed here. Then a linear programming characterization of all admissible H PID controllers for a given plant is obtained. This characterization besides being computationally efficient reveals important structural properties of H PID controllers. For example, it is shown that for a fixed proportional gain, the set of admissible integral and derivative gains lie in a union of convex sets.

頁(從 - 到)1069-1075
出版狀態Published - 2003 6月

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 電氣與電子工程


深入研究「Synthesis of H PID controllers: A parametric approach」主題。共同形成了獨特的指紋。