Journal Article

Controller design for uncertain systems under sampled measurements

PENG SHI

in IMA Journal of Mathematical Control and Information

Volume 15, issue 2, pages 133-153
Published in print June 1998 | ISSN: 0265-0754
Published online June 1998 | e-ISSN: 1471-6887 | DOI: http://dx.doi.org/10.1093/imamci/15.2.133
Controller design for uncertain systems under sampled measurements

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This paper studies the problem of robust control of a class of uncertain nonlinear continuous-time systems with sampled measurements. The class of uncertain systems is described by a state-space model with unknown cone-bounded nonlinearity in the state equation and time-dependent norm-bounded parameter uncertainly in the state and out-put equations. Our attention is focused on the design of linear controllers using sampled output measurements. We address the problem of robust H control in which both robust stability and a prescribed H performance are required to be achieved irrespective of the uncertainties. The H performance measure involves both continuous-time and discrete-time signals. It has been shown that the above problems can be recast into H syntheses for related linear sampleted-data systems without parameter uncertainty and unknown non-linearity, which can be solved in terms of Riccati differential equations with finite discrete jumps. An examples is given to show the potential of the proposed technique.

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Subjects: Mathematics

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