Record number :

97364

Title of article :

Transient response control via characteristic ratio assignment

Author/Authors :

Y.C.، Kim, نويسنده , , L.H.، Keel, نويسنده , , S.P.، Bhattacharyya, نويسنده ,

Issue Information :

روزنامه با شماره پیاپی سال 2003

Pages :

7

From page :

2238

To page :

2244

Abstract :

This note develops an approach to directly control the transient response of linear timeinvariant control systems. We begin by considering all-pole transfer functions of order n for which we introduce a set of parameters (alpha)/sub i/, i=1,...n called the characteristic ratios. We also introduce a generalized time constant (tau). We prove that (alpha)/sub 1/ and (tau) can be used to characterize the system overshoot to a step input and the speed of response, respectively. By independently adjusting (alpha)/sub 1/ and (tau) in all-pole systems, arbitrarily small or no overshoot as well as arbitrarily fast speed of response can be achieved. These formulas are used to develop a procedure to design feedback controllers with feedforward or two parameter output feedback type for achieving time response specifications. For a minimum phase plant we show that arbitrary transient response specifications, namely one with independently specified overshoot and specified rise time or speed of response can be exactly attained.

Keywords :

porous media , , Volume-average , Time-average , Interface , Turbulence modeling , Stress jump

Journal title :

IEEE Transactions on Automatic Control

Serial Year :

2003

Link To Document :