On the synthesis of controllers for continuous time LTI systems that achieve a non-negative impulse response Academic Article

abstract

• The problem of controlling the oscillatory response of a system has many practical applications. In this paper, I consider the problem of controlling the sign of the closed loop impulse response for a delay-free LTI system. If the impulse response of a stable system does not change sign, then its step response will neither undershoot nor overshoot. In this paper, I will show that such a synthesis is possible iff the open loop system does not have real, non-minimum phase zeros. In addition, I provide a stable compensator that achieves a stable, non-negative impulse response, if there exists one. 2002 Elsevier Science Ltd. All rights reserved.

authors

• Darbha, Swaroop

published proceedings

• Automatica

author list (cited authors)

• Darbha, S.

citation count

• 42

complete list of authors

• Darbha, Swaroop

publication date

• January 2003

publisher

• Elsevier  Publisher

published in

• Automatica  Journal

Digital Object Identifier (DOI)

• 10.1016/s0005-1098(02)00202-9

start page

• 159

end page

• 165

volume

• 39

issue

• 1

URL

• http://dx.doi.org/10.1016/s0005-1098(02)00202-9