|An Observer Based Sampled-data Control for Class of Scalar Nonlinear Systems Using Continualized Discretization Method
International Journal of Control, Automation, and Systems, vol. 16, no. 2, pp.709-716, 2018
Abstract : "A new observer based sampled-data feedback control is proposed for a class of scalar nonlinear affine
systems, where the control distribution is constant, in the presence of noise. The discrete-time states are estimated
by a nonlinear state observer, and used for designing the sampled-data control. The discrete-time model used
for controller and state observer design is derived using continualizated discretization method. This discretization
method is based on the new concept of continualization of discrete-time models, and is applicable to any system
whose Jacobian matrix is defined. In this work, it is shown that for the system without the presence of noise, the
proposed sampled-data control preserves the equilibria and dynamics of the desired system, while the conventional
control, which is based on forward difference method, does not. Simulations are carried out for the scalar Riccati
system with the presence of noise to demonstrate the better performances of the proposed method not only in
sampled-data control design, but also in system states estimation than the conventional method for both high and
low sampling frequencies."
Continualized discretization, discrete-time model, noise, nonlinear, sampled-data control.