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Sampled-Data H-infi...
Sampled-Data H-infinity-Control for Time-Varying Hybrid Systems
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- Christiansson, Anna-Karin, 1947 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Lennartson, Bengt, 1956 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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Toivonen, H.T. (author)
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(creator_code:org_t)
- 2001
- 2001
- English.
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In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms. - 1492-8760. ; 8:4, s. 427-444
- Related links:
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https://research.cha...
Abstract
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- This paper presents sampled-data H-infinity-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.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Keyword
- intersample behaviour
- H-infinity-control
- time-varying systems
- sampled-data systems
- periodic systems
- multirate control
Publication and Content Type
- art (subject category)
- ref (subject category)
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