In this paper we show that well-known high-gain universal adaptive P-controllers can be implemented digitally, via adaptive sampling, provided that the length of the sampling interval increases sufficiently fast, as the proportional gain increases. Both stabilization and lambda-tracking of arbitrary…
It is well known that proportional output feedback control can stabilize any relative-degree one, minimum-phase system if the sign of the feedback is correct and the proportional gain is high enough. Moreover, there exists simple adaptation laws for tuning the proportional gain (the so-called high-gain…
We consider adaptive regulation of the temperature for exothermic chemical reactors. These reactors may exhibit multiple
steady states, and the relevant operating point could be an unstable open-loop equilibrium. The adaptive controller combines the so called [lambda]-tracking approach with a feedback…
It is shown that the simple adaptive feedback strategy u(t)=1ln k(t) cos1/ln(t).k(t)=y(y)² is a universal adaptive stabilizer for the class of single-input, single-output, finite-dimensional, linear systems which are stabilizable by either negative or positive high-gain feedback.
We study a particular class of n-node recurrent neural networks (RNNs). In the 3-node case we use monotone dynamical systems theory to show, for a well-defined set of parameters, that, generically, every orbit of the RNN is asymptotic to a periodic orbit. We then investigate whether RNNs of this class…
It is well known that proportional output feedback control can stabilize any relative-degree one, minimum-phase system if the sign of the feedback is correct and the proportional gain is high enough. Moreover, there exist simple adaptation laws for tuning the proportional gain (so-called high-gain adaptive…
"We consider input constrained adaptive output feedback control for a class of nonlinear systems which are prototype models for controlled exothermic chemical reactions. Our objective is set-point control of the output, i.e., the temperature of the reaction. In the context of chemical reactions, practical…
We consider digital input-constrained adaptive output feedback control of a class of nonlinear systems which arise as models for controlled exothermic chemical reactors.Our objective is set-point control of the temperature of the reaction, with prespecified asymptotic tracking accuracy set by the designer.…