Indirect sampled-data control with sampling period adaptation |
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Authors: | Achim Ilchmann Zhenqing Ke |
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Affiliation: | 1. Institute of Mathematics , Technical University Ilmenau , Weimarer Stra?e 25, 98693 Ilmenau, Germany;2. Department of Mathematical Sciences , University of Bath , Bath BA2 7AY, UK;3. Department of Mathematics , Jinan University , Guangzhou 510632, China |
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Abstract: | 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 τ?>?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. |
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Keywords: | adaptive control feedback stabilisation indirect sampled-data control variable sampling period |
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