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Design of strictly positive real, fixed-order dynamic compensators [Book Chapter]

Conference · · 29th IEEE Conference on Decision and Control
 [1];  [2];  [2];  [2];  [3]
  1. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
  2. Univ. of New Mexico, Albuquerque, NM (United States)
  3. Harris Corporation, Melbourne, FL (United States)

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 full- or 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.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC04-76DP00789
OSTI ID:
6540953
Report Number(s):
SAND-90-2387C; CONF-901209--3; ON: DE90017589
Journal Information:
29th IEEE Conference on Decision and Control, Journal Name: 29th IEEE Conference on Decision and Control
Publisher:
IEEE
Country of Publication:
United States
Language:
English

References (6)

The optimal projection/maximum entropy approach to designing low-order, robust controllers for flexible structures conference December 1985
A System Theory Criterion for Positive Real Matrices journal May 1967
Robust multivariable control of large space structures using positivity journal July 1987
Suboptimal Strong Stabilization Using Fixed-Order Dynamic Compensation conference May 1990
The optimal projection equations for fixed-order dynamic compensation journal November 1984
Structured and simultaneous Lyapunov functions for system stability problems journal June 1989