scholarly journals Influence of the Tensor Product Model Representation of qLPV Models on the Feasibility of Linear Matrix Inequality Based Stability Analysis

2017 ◽  
Vol 20 (1) ◽  
pp. 531-547 ◽  
Author(s):  
Alexandra Szollosi ◽  
Peter Baranyi
Keyword(s):  
Stability Analysis ◽  
Tensor Product ◽  
Linear Matrix Inequality ◽  
Model Representation ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Product Model

Stability Analysis of a Class of Switched Lurie Systems

2010 ◽  
Vol 171-172 ◽  
pp. 584-587
Author(s):  
Bei Xing Mao ◽  
Dong Xiao Wang
Keyword(s):  
Stability Analysis ◽  
Linear Matrix Inequality ◽  
Switched Systems ◽  
Lyapunov Functions ◽  
Stability Problem ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Switching Law

Stability problem of a class of Lurie switched systems is investigated. All the subsystems of a class of switched systems are Lurie systems .The switching law is given using linear matrix inequality(LMI) and Lyapunov functions . The conclusion is given in LMI, so it is easy to realize.

scholarly journals Stability of Hybrid Stochastic Systems with Time-Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Pu Xing-cheng ◽  
Yuan Wei
Keyword(s):  
Neural Networks ◽  
Stability Analysis ◽  
Time Delay ◽  
Linear Matrix Inequality ◽  
Hybrid Systems ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Hybrid Stochastic Systems ◽  
The Stability

This paper develops some criteria for a kind of hybrid stochastic systems with time-delay, which improve existing results on hybrid systems without considering noises. The improved results show that the presence of noise is quite involved in the stability analysis of hybrid systems. New results can be used to analyze the stability of a kind of stochastic hybrid impulsive and switching neural networks (SHISNN). Therefore, stability analysis of SHISNN can be turned into solving a linear matrix inequality (LMI).

Absolute stability analysis of nonlinear active disturbance rejection control for electromagnetic valve actuator system via linear matrix inequality method

2018 ◽  
Vol 232 (9) ◽  
pp. 1134-1145
Author(s):  
Da Shao ◽  
Sichuan Xu ◽  
Aimin Du
Keyword(s):  
Stability Analysis ◽  
Linear Matrix Inequality ◽  
Disturbance Rejection ◽  
Absolute Stability ◽  
Linear Matrix ◽  
Active Disturbance Rejection Control ◽  
Matrix Inequality ◽  
Single Input Single Output ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control

Nonlinear active disturbance rejection control is much more effective than linear active disturbance rejection control in tolerance to uncertainties and disturbances. However, it brings a great challenge for theoretical analysis, especially the stability analysis. This article proposes a linear matrix inequality method to analyze the absolute stability of generalized nonlinear active disturbance rejection control form which contains multiple nonlinearities with different parameters in both extended state observer and control law for single-input single-output systems. The generalized nonlinear active disturbance rejection control algorithm and the single-input single-output system are transformed into a direct multiple-input multiple-output Lurie system. A sufficient condition to determine its absolute stability based on linear matrix inequality method is given. The Lyapunov function of the Lurie system exists when the group of linear matrix inequalities is feasible. The free parameters and coefficients in Lyapunov function are given by the solution of these linear matrix inequalities. The electromagnetic valve actuator system in camless engine is presented as an application to illustrate how to perform the proposed method for absolute stability analysis and the stable region of parameter perturbations is obtained via the method. Simulation results show that the linear matrix inequality–based method is convenient and effective to determine whether the closed-loop system is absolutely stable.

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