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Authors
Y. Eun; C. Gokcek; P. T. Kabamba; S. M. Meerkov

Digital Object Identifier (DOI)
10.3182/20020721-6-ES-1901.01086

Page Numbers:
1084-1084

Index Terms
disturbance rejection,LQG/LQR control,actuators,saturation

Abstract
This paper extends the LQG design methodology to systems with saturating actuators and shows that resulting linear controllers do not require an antiwindup implementation.

References

[1] Crawshaw, S., and G. Winnicombe, (2000). Antiwindup
     synthesis for guaranteed L2 performance.
     Proc. Conf. Dec. Contr., pp. 1063-1068.
[2] Fortuna, L., and G. Muscato, (1996). A roll
    stabilization system for a monohull ship: Modeling,
     identification, and adaptive control. IEEE
    Trans. Contr. Syst. Tech., 4(1), pp. 18-28.
[3] Gelb, A., and W. E. Vander Velde, (1968).
    Multiple-Input Describing Functions and Non-linear
     System Design. McGraw-Hill, New York.
[4] Gökçek, C, (2000). Disturbance Rejection and
    Reference Tracking in Control Systems with
    Saturating Actuators. PhD thesis, EECS, University
     of Michigan, Ann Arbor, Michigan.
[5] Goldfarb, M., and T. Sirithanapipat, (1999). The
    effect of actuator saturation on the performance
    of pd-controlled servo systems. Mechatronics,
    9(5), pp. 497-511.
[6] Hanus, R., (1988) Anti-windup and bumpless
    transfer: a survey. Proc. 12th IMACS World
    Congr., 2, pp. 59-65.
[7] Kothare, M. V., P. J. Campo, M. Morari, and
    C. N. Nett, (1994). A unified framework for
    the study of anti-windup designs. Automatica,
    30(12), pp. 1869-1883.
[8] Kwakernaak, H., and R. Sivan, (1972). Linear
    Optimal Control Systems. Wiley Interscience,
    New York.
[9] Roberts, J. B., and P. D. Spanos, (1990). Random
    Vibration and Statistical Linearization. John
    Wiley and Sons, New York.
[10] Zaccarian, L., A. R. Teel, (2000). A benchmark
     example for anti-windup synthesis in active
     vibration isolation tasks and an L2 anti-windup
     solution. Europ. J. Contr., 6(5).