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Expert schemes for the obtaining of discrete models for LTI systems using real sampling and parameter identification

De La Sen M., Garrido A.J., Barambones O., Maseda F.J.

Systems Science

2003

Vol. 29, nr 2

95-112

In this paper, we present an expert network scheme designed to obtain discrete transfer functions for LTI systems under real sampling of finite duration rather than an instantaneous ideal one. For this purpose, the expert network handles two different identification methods to derive parametric discrete models techniques of reduced mathematical complexity from measured input-output data series. One of the methods is based on a typically used least-squares minimization, while the other one is based on the Leverrier's algorithm; that is, using a data series of the impulse response of the system to identify a parametric discrete model. These techniques are of particular practical interest when the continuous-time system is unknown or when dealing with discrete-time systems whose analytical expression becomes very complex due, for instance, to the use of finite duration real sampling. The expert network improves the discretization process implementing a biestimation mechanism that switches to the model that provides a better performance at each estimation instant considered for different values of the hold order.

Composite adaptive SMC of nonlinear base isolated buildings with actuator dynamics

Luo N., De La Sen M., Rodellar J.

Applied Mathematics and Computer Science

1998

Vol. 8, no 1

183-197

This paper addresses the problem of designing a robust active controller for nonlinear base isolated building structures in the presence of unknown seismic excitations, parametric uncertainties and actuator dynamics. A simple adaptation law is introduced to get available upper bounds for the unknown seismically excited nonlinearities. Adaptive composite output feedback sliding mode control schemes are proposed to drive the displacements of the base and structure to their zero equilibrium positions. A numerical simulation example is presented to illustrate the effectiveness of the proposed strategies to a ten-storey base isolated structure under the El Centro earthquake.