Switching controller for fuzzy systems subject to unknown parameters: analysis and design based on a linear matrix inequality (LMI) approach

2002 ◽  
Author(s):  
H.K. Lam ◽  
F.H.F. Leung ◽  
P.K.S. Tam
Keyword(s):  
Linear Matrix Inequality ◽  
Fuzzy Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Lmi Approach ◽  
Unknown Parameters ◽  
Analysis And Design ◽  
Switching Controller ◽  
Parameters Analysis

scholarly journals A New Robust Training Law for Dynamic Neural Networks with External Disturbance: An LMI Approach

2010 ◽  
Vol 2010 ◽  
pp. 1-14 ◽  
Author(s):  
Choon Ki Ahn
Keyword(s):  
Neural Networks ◽  
Linear Matrix Inequality ◽  
Exponential Stability ◽  
External Disturbance ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Input Output ◽  
Lmi Approach ◽  
Dynamic Neural Networks ◽  
Numerical Examples

A new robust training law, which is called an input/output-to-state stable training law (IOSSTL), is proposed for dynamic neural networks with external disturbance. Based on linear matrix inequality (LMI) formulation, the IOSSTL is presented to not only guarantee exponential stability but also reduce the effect of an external disturbance. It is shown that the IOSSTL can be obtained by solving the LMI, which can be easily facilitated by using some standard numerical packages. Numerical examples are presented to demonstrate the validity of the proposed IOSSTL.

LMI-BASED ANALYSIS FOR CONTINUOUS-DISCRETE LINEAR SHIFT-INVARIANT nD SYSTEMS

2005 ◽  
Vol 14 (02) ◽  
pp. 307-332 ◽  
Author(s):  
JACEK BOCHNIAK ◽  
KRZYSZTOF GALKOWSKI
Keyword(s):  
Linear Matrix Inequality ◽  
Robust Stability ◽  
Robust Stabilization ◽  
Multidimensional Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Lmi Approach ◽  
Stability Margins ◽  
Nd Systems

In this paper, we describe the Linear Matrix Inequality (LMI) approach to the analysis and the synthesis of continuous-discrete linear shift-invariant multidimensional systems presented in the Roesser form. We consider stability, stability margins, robust stability, stabilization and stabilization to the prescribed stability margins and robust stabilization. An example is included as illustrations of the obtained results.

Linear Matrix Inequality and its Application in Control Theory

2013 ◽  
Vol 853 ◽  
pp. 636-640
Author(s):  
Hai Yan Wang
Keyword(s):  
Linear Matrix Inequality ◽  
Solution Method ◽  
System Analysis ◽  
Linear Matrix ◽  
General Description ◽  
Matrix Inequality ◽  
Closed Loop System ◽  
Analysis And Design ◽  
Good Nature ◽  
Basic Content

As a result of linear matrix inequality (LMI) and its good nature of mathematics as well as the breakthrough of solution method, many control problems can be transformed into a standard LMI problem to solve. Linear matrix inequality has received widely attention and applications in control system analysis and design. This paper introduces some of the basic content of LMI, such as the general description, the relevant algorithms and software. The controller will be designed using LMI such that the closed-loop system is asymptotically stable, and simulation will be given using Matlab. Finally, the population model will be given and analyzed.

scholarly journals Synchronization of Switched Complex Bipartite Neural Networks with Infinite Distributed Delays and Derivative Coupling

2013 ◽  
Vol 2013 ◽  
pp. 1-16
Author(s):  
Qiuxiang Bian ◽  
Jinde Cao ◽  
Jie Wu ◽  
Hongxing Yao ◽  
Tingfang Zhang ◽  
...  
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Linear Matrix Inequality ◽  
Distributed Delays ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Lmi Approach ◽  
Derivative Coupling ◽  
Infinite Distributed Delays ◽  
Theoretical Results

A new model of switched complex bipartite neural network (SCBNN) with infinite distributed delays and derivative coupling is established. Using linear matrix inequality (LMI) approach, some synchronization criteria are proposed to ensure the synchronization between two SCBNNs by constructing effective controllers. Some numerical simulations are provided to illustrate the effectiveness of the theoretical results obtained in this paper.

Sign in / Sign up

Export Citation Format

Share Document