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A quasi-LPV model for gain-scheduling canal control

Bolea Y., Puig V., Blesa J., Gomez M., Rodellar J.

Archives of Control Sciences

2004

Vol. 14, no. 3/4

299-313

In this paper, a quasi-linear parameter-varying (quasi-LPV) model for canal control is proposed. This model relates the downstream level with the gate opening and takes into account the non-linearity, the variation of the model parameters and the dependence with the operating point. Thus, this kind of a model represents in a more accurate way the canal behavior than a linear time invariant (LTI) model. Moreover, it is suitable as for the conventional gain-scheduling as for a rigorous and formal (LPV or fuzzy) gain-scheduling control design using linear matrix inequality (LMI) tools. Finally, the proposed LPV model has been used to design a conventional gain-scheduling (GS) PI controller and tested on a single pool canal.

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.