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Sampled-data H∞ˆž-control for time-varying hybrid systems
University West, Department of Engineering Science, Division of Automation and Computer Engineering.ORCID iD: 0000-0001-5608-8636
Chalmers University of Technology, Control Engineering Lab, Göteborg, Sweden.
Åbo Akademi University, Department of Chemical Engineering, Åbo, Finland..
2001 (English)In: Dynamics of continuous, discrete and impulsive systems, ISSN 1201-3390, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, ISSN 1492-8760, Vol. 8, no 4b, 427-444 p.Article in journal (Refereed) Published
Abstract [en]

This paper presents sampled-data H∞ˆž-control of linear mixed continuous-time and discrete-time systems, including a mix of continuous-time and discrete-time performance signals and disturbances. However, neither continuous-time control signals nor continuous-time measurements are included. The sampling may well be multirate, i.e. different signals may be sampled by different rates, as long as a periodic pattern is repeated over the period, consisting of a number of sampling steps. In fact, the results are applicable even to arbitrary linear time-varying systems. The sampled-data system is discretised such that the continuous-time performance is reflected in the discretised or "lifted" system. This lifted system is combined with discrete-time updates at the sampling instants to achieve the sampled-data controller. The "hold-states" case is presented as a special application, when there is also a hold circuit at the controller output. The continuous-time Riccati equations with discrete-time updates then can be replaced by one discrete-time static feedback and filter Riccati equation respectively, which also reflect the intersample behaviour. Furthermore, convergence results between the discretised Riccati solutions and the corresponding continuous-time solutions are shown, when the sampling interval decreases towards zero. Simulations are shown when the results are applied to the control of a MIMO jet-engine model.

Place, publisher, year, edition, pages
2001. Vol. 8, no 4b, 427-444 p.
National Category
Control Engineering
Research subject
ENGINEERING, Manufacturing and materials engineering
Identifiers
URN: urn:nbn:se:hv:diva-7881Scopus ID: 2-s2.0-0344362787OAI: oai:DiVA.org:hv-7881DiVA: diva2:845784
Note

cited By 3

Available from: 2015-08-13 Created: 2015-08-12 Last updated: 2015-08-13Bibliographically approved

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