Home :: Academic Members :: News

view:46296   Last Update: 2024-1-1

Farhad Bayat

K.Hooshmandi, Farhad Bayat∗†, M. R. Jahed-Motlagh, A.A. Jalali
Stability Analysis and Design of Nonlinear Sampled-Data Systems Under Aperiodic Samplings
Abstract


In this paper, the problem of exponential stability analysis and design of sampled-data nonlinear systems have been studied using a polytopic LPV approach. By means of modeling a new double-layer polytopic formulation for nonlinear sampled-data systems, a modified form of piecewise continuous Lyapunov- Krasovskii functional is proposed. This approach provides less conservative robust exponential stability conditions by using Wirtingers inequality in terms of linear matrix inequalities. The distances between the real continuous parameters of the plant and the measured parameters of the controller are modeled by convex sets, and the analysis/design conditions are given at the vertices of some hyper-rectangles. In order to get tractable LMI conditions for the stabilization problem, we performed relaxation by introducing a slack variable matrix. Under the new stability criteria, an approach is introduced to synthesize a sampled- data polytopic LPV controller considering some constraints on the location of the closed-loop poles in the presence of uncertainties on the varying parameters. It is shown that the proposed controller guarantees the exponential stability of the closed-loop system for aperiodic sampling periods smaller than a known value, i.e. maximum allowable sampling period (MASP). Finally, the effectiveness of the proposed approach is verified and compared with some state-of-the-art existing approaches through numerical simulations.

 

 

Copyright © 2024, University of Zanjan, Zanjan, Iran
master[at]znu.ac.ir