Stability Analysis Of Nonlinear Model Research Articles

Stability Analysis of Nonlinear Models of Nose Landing Gear Shimmy

Stability Analysis of Nonlinear Models of Nose Landing Gear Shimmy

Stability analysis of nonlinear models via exact piecewise Takagi-Sugeno models

This paper introduces a novel approach for stability analysis of nonlinear models based on an exact piecewise Takagi-Sugeno representation. The idea comes from the fact that larger modeling regions may lead to stability conditions which are harder to meet than those for smaller ones. Therefore, instead of applying sector nonlinearity to a single compact set of the state space as it is usually done, different exact Takagi-Sugeno representations are obtained for different compacts (partitions) of the state-space. Due to the piecewise nature of the proposed model, further relaxation of stability conditions is earned by using piecewise Lyapunov functions instead of common quadratic ones. The contribution is illustrated using examples which show the improvement over existing methods.

Stability Analysis of Nonlinear Model Matching for a Class of Perturbed Discrete-Time Systems

A stability analysis of nonlinear model matching for a class of perturbed discrete-time systems is presented. The controller is designed based on a nominal plant such that the model matching problem is solved. We discuss the stability robustness of the resultant closed-loop system fedback by the nominal controller when a mismatch exists between the parameters of the plant and the parameters of the nominal plant. For a certain class of nonlinear system we obtain a parameter range where the perturbed closed-loop system is stable.