TY - JOUR
T1 - Indirect sampled-data control with sampling period adaptation
AU - Ilchmann, A
AU - Ke, Z Q
AU - Logemann, Hartmut
PY - 2011
Y1 - 2011
N2 - It is known that if a continuous-time feedback system is exponentially stable, then the corresponding sampled-data system obtained by sample-hold discretisation with constant sampling period is also exponentially stable, provided that the sampling period tau > 0 is sufficiently small. In general, it is difficult to estimate how small the sampling period has to be in order to achieve the stability of the sampled-data system. In this article, we present an adaptive mechanism for adjusting the sampling period. This mechanism has the properties that, for every initial state, (i) the adaptation of the sampling period terminates after finitely many time steps and (ii) the state of the adaptive sampled-data system is integrable and converges to zero as time goes to infinity.
AB - It is known that if a continuous-time feedback system is exponentially stable, then the corresponding sampled-data system obtained by sample-hold discretisation with constant sampling period is also exponentially stable, provided that the sampling period tau > 0 is sufficiently small. In general, it is difficult to estimate how small the sampling period has to be in order to achieve the stability of the sampled-data system. In this article, we present an adaptive mechanism for adjusting the sampling period. This mechanism has the properties that, for every initial state, (i) the adaptation of the sampling period terminates after finitely many time steps and (ii) the state of the adaptive sampled-data system is integrable and converges to zero as time goes to infinity.
KW - feedback stabilisation
KW - adaptive control
KW - variable sampling period
KW - indirect sampled-data control
UR - http://www.scopus.com/inward/record.url?scp=79952922342&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1080/00207179.2011.557782
U2 - 10.1080/00207179.2011.557782
DO - 10.1080/00207179.2011.557782
M3 - Article
SN - 0020-7179
VL - 84
SP - 424
EP - 431
JO - International Journal of Control
JF - International Journal of Control
IS - 2
ER -