Discrete-time low-gain control of linear systems with input/output nonlinearities
نویسندگان
چکیده
Discrete-time low-gain control strategies are presented for tracking of constant reference signals for "nite-dimensional, discrete-time, power-stable, single-input, single-output, linear systems subject to a globally Lipschitz, non-decreasing input nonlinearity and a locally Lipschitz, non-decreasing, a$nely sectorbounded output nonlinearity (the conditions on the output nonlinearities may be relaxed if the input nonlinearity is bounded). Both non-adaptive and adaptive gain sequences are considered. In particular, it is shown that applying error feedback using a discrete-time &integral' controller ensures asymptotic tracking of constant reference signals, provided that (a) the steady-state gain of the linear part of the plant is positive, (b) the positive gain sequence is ultimately su$ciently small and (c) the reference value is feasible in a very natural sense. The classes of input and output nonlinearities under consideration contain standard nonlinearities important in control engineering such as saturation and deadzone. The discrete-time results are applied in the development of sampled-data low-gain control strategies for "nite-dimensional, continuoustime, exponentially stable, linear systems with input and output nonlinearities. Copyright 2001 John Wiley & Sons, Ltd.
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تاریخ انتشار 2001