Approximation of nonlinear dynamic systems by rational series

Approximation of Nonlinear Systems by Dynamic Selection of Linear Models

1 The problem of approximation of a class of non-linear systems is studied in this paper. An architecture is presented which uses qualitative information to coordinate a number of local models. The coordinator is based on a logic processor 8]. An analytical study of the resulting time-varying architecture and simulations are included.

Rational Approximation of Nonlinear Optimal Control Problems

In this paper rational approximation of solutions to nonlinear optimal control problems is considered. A computational procedure is presented that makes it possible to compute a rational function that approximates the true optimal cost function. It is shown that the rational function has the same series expansion around the origin as the true solution. Finally, two examples are given that compa...

Adaptive Fuzzy Dynamic Sliding Mode Control of Nonlinear Systems

Two phenomena can produce chattering: switching of input control signal and the large amplitude of this switching (switching gain). To remove the switching of input control signal, dynamic sliding mode control (DSMC) is used. In DSMC switching is removed due to the integrator which is placed before the plant. However, in DSMC the augmented system (system plus the integrator) is one dimension bi...

Dynamic Sliding Mode Control of Nonlinear Systems Using Neural Networks

Dynamic sliding mode control (DSMC) of nonlinear systems using neural networks is proposed. In DSMC the chattering is removed due to the integrator which is placed before the input control signal of the plant. However, in DSMC the augmented system is one dimension bigger than the actual system i.e. the states number of augmented system is more than the actual system and then to control of such ...

Approximation by Rational Functions