In this paper a simplified triangular model is suggested for approxima
ting the impulse response of a stable system. The triangular model has
only three parameters and is easy to identify. Both dead-beat control
ler and extended horizon predictive controller are redesigned based on
this triangular model. Under simple conditions the robust stability a
nd zero tracking error of the resulted closed-loop system are guarante
ed. Simulations show that two kinds of robust controllers are effectiv
e and work well even with unknown piecewise-constant disturbances. (C)
1998 Elsevier Science Ltd. All rights reserved.