Reference:
G. Nijsse,
M. Verhaegen,
B. De Schutter,
D. Westwick, and
N. Doelman,
"State space modeling in multichannel active control systems,"
Proceedings of the 1999 International Symposium on Active Control
of Sound and Vibration (ACTIVE 99) (S. Douglas, ed.), Fort
Lauderdale, Florida, pp. 909-920, Dec. 1999.
Abstract:
In recent years, Active Control (AC) research and applications have
gained much attention, e.g. Active Noise Control, Active Vibration
Control and Active Acoustic Structural Control. Due to the complexity
of the acoustics, large scale applications, such as actively canceling
broad-band noise in a wide area, still pose serious computational
problems when using hardware which is not too complex and expensive.
For that reason we are looking for ways to reduce the computational
burden in AC systems for reducing the price and the complexity of the
hardware.
One of the methods we recently successfully investigated and which we
deal with in this paper, is the use of state space models instead of
finite impulse response models (FIR models) in AC systems. While FIR
models are commonly used in AC, they can require a large number of
coefficients, deteriorating the computational complexity, especially
in poorly damped plants and/or broad-band noise control applications.
On the other hand, one of the advantages of state space models is that
they reduce the number of coefficients and the number of computations
dramatically due to their minimal parameterization.
In this paper we show how state space models can be used in AC systems
and we discuss their advantages compared to FIR models. We also
illustrate our approach for a vibrating plate structure.