Finite-time stability and stabilization of interval type-2 fuzzy systems with time delay

2018 ◽  
Vol 35 (6) ◽  
pp. 6537-6549 ◽  
Author(s):  
Songyi Dian ◽  
Weibo Liang ◽  
Tao Zhao
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Fuzzy Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Stability And Stabilization ◽  
Interval Type

scholarly journals Finite-Time Stability and Controller Design of Continuous-Time Polynomial Fuzzy Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Xiaoxing Chen ◽  
Manfeng Hu
Keyword(s):  
Continuous Time ◽  
Finite Time ◽  
Fuzzy Systems ◽  
Controller Design ◽  
Semidefinite Program ◽  
Time Stability ◽  
Finite Time Stability ◽  
Polynomial Fuzzy Systems ◽  
Special Cases ◽  
Stability And Stabilization

Finite-time stability and stabilization problem is first investigated for continuous-time polynomial fuzzy systems. The concept of finite-time stability and stabilization is given for polynomial fuzzy systems based on the idea of classical references. A sum-of-squares- (SOS-) based approach is used to obtain the finite-time stability and stabilization conditions, which include some classical results as special cases. The proposed conditions can be solved with the help of powerful Matlab toolbox SOSTOOLS and a semidefinite-program (SDP) solver. Finally, two numerical examples and one practical example are employed to illustrate the validity and effectiveness of the provided conditions.

Finite-time boundedness of interval type-2 fuzzy systems with time delay and actuator faults

2019 ◽  
Vol 356 (15) ◽  
pp. 8296-8324 ◽  
Author(s):  
R. Kavikumar ◽  
R. Sakthivel ◽  
O.M. Kwon ◽  
B. Kaviarasan
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Fuzzy Systems ◽  
Actuator Faults ◽  
Finite Time Boundedness ◽  
Interval Type

scholarly journals An Improved Finite-Time Stability and Stabilization of Linear System with Constant Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Thaned Rojsiraphisal ◽  
Jirapong Puangmalai
Keyword(s):  
Time Delay ◽  
Linear System ◽  
Finite Time ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Time Interval ◽  
State Variables ◽  
Time Stability ◽  
Finite Time Stability ◽  
Stability And Stabilization

Practical systems in engineering fields often require that values of state variables, during the finite-time interval, must not exceed a certain value when the initial values of state are given. This leads us to investigate the finite-time stability and stabilization of a linear system with a constant time-delay. Sufficient conditions to guarantee the finite-time stability and stabilization are derived by using a new form of Lyapunov-Krasovskii functional and a desired state-feedback controller. These conditions are in the form of LMIs and inequalities. Two numerical examples are given to show the effectiveness of the proposed criteria. Results show that our proposed criteria are less conservative than previous works in terms of versatility of minimum bounds and larger bounds of time-delay.

scholarly journals Finite-time stability and stabilization of time-delay systems

2008 ◽  
Vol 57 (7) ◽  
pp. 561-566 ◽  
Author(s):  
Emmanuel Moulay ◽  
Michel Dambrine ◽  
Nima Yeganefar ◽  
Wilfrid Perruquetti
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Stability And Stabilization
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