Sampled-Data H-infinity-Control for Time-Varying Hybrid Systems

Christiansson, Anna-Karin,1947Chalmers tekniska högskola,Chalmers University of Technology (author)

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.

Lennartson, Bengt,1956Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)l (author)
Toivonen, H.T. (author)
Chalmers tekniska högskola (creator_code:org_t)

In:Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms8:4, s. 427-4441492-8760

By the author/editor: Christiansson, A ...; Lennartson, Beng ...; Toivonen, H.T.

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