Controller synthesis for sign-invariant impulse response Academic Article

abstract

• In this note, we consider the problem of designing controllers for discrete-time linear time-invariant (LTI) plants that render the closed-loop impulse response nonnegative. Such systems have a nonundershooting and nonovershooting step response. We first show that the impulse response of any discrete-time LTI system changes sign at least "r" times if it has "r" real, positive zeros outside a circular disk centered at the origin and containing all its poles. We then show that a necessary and sufficient condition on the plant for the existence of a compensator that makes the closed loop impulse response sign invariant is that there be no real, positive, nonminimum phase plant zeros. Finally, we show, by construction, how such a compensator may be synthesized when the plant does satisfy the existence condition.

authors

• Bhattacharyya, S
• Darbha, Swaroop

published proceedings

• IEEE TRANSACTIONS ON AUTOMATIC CONTROL

author list (cited authors)

• Darbha, S., & Bhattacharyya, S. P.

citation count

• 20

complete list of authors

• Darbha, S||Bhattacharyya, SP

publication date

• August 2002

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

keywords

• Impulse Response
• Nonminimum Phase Systems
• Nonnegative Impulse Response
• Parity Interlacing
• Step Response

Digital Object Identifier (DOI)

• 10.1109/TAC.2002.800746

start page

• 1346

end page

• 1351

volume

• 47

issue

• 8

URL

• http://dx.doi.org/10.1109/tac.2002.800746