Ilchmann, A., Ke, Z. Q. and Logemann, H., 2011. Indirect sampled-data control with sampling period adaptation. International Journal of Control, 84 (2), pp. 424-431.
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.
|Item Type ||Articles|
|Creators||Ilchmann, A., Ke, Z. Q. and Logemann, H.|
|Uncontrolled Keywords||feedback stabilisation, adaptive control, variable sampling period, indirect sampled-data control|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||Logemann_IJC_2011_84_2_424.pdf: This is an electronic version of an article published in Ilchmann, A., Ke, Z. Q. and Logemann, H., 2011. Indirect sampled-data control with sampling period adaptation. International Journal of Control, 84 (2), pp. 424-431. International Journal of Control is available online at http://dx.doi.org/10.1080/00207179.2011.557782|
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