Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지

Properties of positive real systems in time domain

양실 시스템의 시간영역에서의 특성

  • Published : 1998.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper provides some properties of positive real systems in time domain. It is well-known that a positive real system and a bounded real system are closely related by bilinear transform in a frequency domain. By using supply rate and storage function, we show that a positive real system can be transformed into a bounded real system, and that a positive real system can be transformed into another positive real system with in a time domain. Also, we show that an ESPR(extended strictly positive real) system can be decomposed into a feedback system of lossless positive real system and another ESPR system. These results may be used to design an output feedback controller for mixed H$H_2$ESPR problem.

Keywords

References

  1. IEEE Trans. on Automatic Control v.39 no.10 Solution to the positive real control problem for linear time-invariant systems W. Sun;P. P. Khargonekar;D. Shim
  2. Proc. 35th IEEE Conference on Decision and Control Synthesis of γ-positive real feedback systems N. Sakamoto;M. Sigiura;M. Hayashi;M. Suzuki
  3. Int. J. of Control v.45 no.3 Synthesis of positive real multivariable feedback systems M. G. Safonov;E. A. Jonckheer;M. Verma;D. J. N. Limebeer
  4. Proc. of 33rd IEEE Conference on Decision and Control Mixed H2/ESPR(Extended strictly positive positive real) control for state-feedback case D. Shim
  5. Network analysis and synthesis:a modern systems theory approach B. D. O. Andersion;S. Vongpanitlerd
  6. Archive for Rational Mechanics and Analysis v.45 no.5 Dissipative dynamical systems, Part Ⅰ: general theory J. C. Willems
  7. Archive for Rational Mechanics and Analysis v.45 no.5 Dissipative dynamical systems, Part Ⅱ: linear systems with quadratic supply rates J. C. Willems
  8. Proc. of 30th IEEE Conference on Decision and Control Explicit construction of quadratic Lyapunov functions for the small gain, circle and Popov theorems and their application to robust stability W. M. Haddad;D. S. Bernstein
  9. Systems and Control Letters v.17 Robust stabilization with positive real uncertainty: beyond the small gain theorem W. M. Haddad;D. S. Bernstein
  10. Int. J. of Control v.25 no.1 The generalized Nyquist stability criterion and multivariable root loci A. G. J. Macfarlane;I. Postlethwaite
  11. IEEE Trans. Automatic Control v.34 no.8 State-space solutions to standard H₂and $H_∞$ control problems J. C. Doyle;K. Glover;P. P. Khargonekar;B. A. Francis
  12. IEEE Trans. Automatic Control v.36 no.7 Mixed $H_2/H_∞$control: a convex optimization approach P. P. Khargonekar;M. A. Rotea