© 1998 by Institute of Mathematics and its Applications
Controller design for uncertain systems under sampled measurements
Centre for Industrial and Applied Mathematics, School of Mathematics, The Universtiy of South Australia SA 5095, Australia E-mail: matsp{at}zarniwoop.levels.unisa.edu.au
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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