Stability Analysis of Delta Operator Systems with Actuator Saturation by a Saturation-Dependent Lyapunov Function

2014 ◽  
Vol 34 (3) ◽  
pp. 971-986 ◽  
Author(s):  
Hongjiu Yang ◽  
Zhiwei Li ◽  
Changchun Hua ◽  
Zhixin Liu
Keyword(s):  
Stability Analysis ◽  
Lyapunov Function ◽  
Actuator Saturation ◽  
Delta Operator ◽  
Operator Systems ◽  
Delta Operator Systems

Null controllable region of delta operator systems subject to actuator saturation

2016 ◽  
Vol 89 (7) ◽  
pp. 1509-1521
Author(s):  
Hongjiu Yang ◽  
Ce Yan ◽  
Yuanqing Xia ◽  
Jinhui Zhang
Keyword(s):  
Actuator Saturation ◽  
Delta Operator ◽  
Operator Systems ◽  
Delta Operator Systems

scholarly journals Stability Analysis and Stabilization of T-S Fuzzy Delta Operator Systems with Time-Varying Delay via an Input-Output Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Zhixiong Zhong ◽  
Guanghui Sun ◽  
Hamid Reza Karimi ◽  
Jianbin Qiu
Keyword(s):  
Stability Analysis ◽  
Original System ◽  
Transformation Method ◽  
Delta Operator ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Operator Systems ◽  
Delta Operator Systems ◽  
Varying Delay

The stability analysis and stabilization of Takagi-Sugeno (T-S) fuzzy delta operator systems with time-varying delay are investigated via an input-output approach. A model transformation method is employed to approximate the time-varying delay. The original system is transformed into a feedback interconnection form which has a forward subsystem with constant delays and a feedback one with uncertainties. By applying the scaled small gain (SSG) theorem to deal with this new system, and based on a Lyapunov Krasovskii functional (LKF) in delta operator domain, less conservative stability analysis and stabilization conditions are obtained. Numerical examples are provided to illustrate the advantages of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document