Multirate versions of sampled-data stabilization of nonlinear systems

Authors:
Ilia G. Polushin;Horacio J. Marquez
Affiliations:
Department of Electrical Engineering, Lakehead University, Thunder Bay, Ont., Canada P7B 5J2;Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2V4
Venue:
Automatica (Journal of IFAC)
Year:
2004

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Technical communique: Dissipativity of nonlinear multirate sampled-data systems under emulation design

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Abstract

The problem of state feedback sampled-data stabilization of nonlinear systems is considered under the ''low measurement rate'' constraint and in the presence of (not necessarily small) time delay in the measurement channel. A multirate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the current state from the delayed measurements. For both the controller emulation approach and the approach based on approximate discrete-time model of the system, we show that under standard assumptions the closed-loop multirate sampled data system is asymptotically stable in the semiglobal practical sense. An illustrative example of sampled-data control of vertical take off and landing aircraft is discussed.