SAND 90 - 2387 C Design of Strictly Positive Real , Fixed - Order Dynamic Compensators

نویسندگان

  • D. Bernstein
  • M. Jacobus
  • M. Jamshidi
چکیده

This paper presents sufficient conditions for the design of strictly positive real (SPR), fixed-order dynamic compensators. The primary motivation for designing SPR compensators is for application to positive real (PR) plants. When an SPR compensator is connected to a PR plant in a negative feedback configuration, the closed loop is guaranteed stable for arbitrary plant variations as long as the plant remains PR. This paper gives equations that are a modified form of the optimal projection equations, with the separation principle not holding in either the fullor reduced-order case. A solution to the design equations is shown to exist when the plant is PR (or just stable). Finally, the closed loop system consisting of a PR plant and an SPR compensator is shown to be S-structured Lyapunov stable.

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تاریخ انتشار 2004