Modulus Synchronization in Non-identical Hyperchaotic Complex Systems and Hyperchaotic Real System Using Adaptive Control

Author(s):  
Ayub Khan ◽  
Uzma Nigar
Author(s):  
Alexander L. Fradkov ◽  
Iliya V. Miroshnik ◽  
Vladimir O. Nikiforov

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Jinsheng Xing ◽  
Naizheng Shi

This paper proposes a stable adaptive fuzzy control scheme for a class of nonlinear systems with multiple inputs. The multiple inputs T-S fuzzy bilinear model is established to represent the unknown complex systems. A parallel distributed compensation (PDC) method is utilized to design the fuzzy controller without considering the error due to fuzzy modelling and the sufficient conditions of the closed-loop system stability with respect to decay rateαare derived by linear matrix inequalities (LMIs). Then the errors caused by fuzzy modelling are considered and the method of adaptive control is used to reduce the effect of the modelling errors, and dynamic performance of the closed-loop system is improved. By Lyapunov stability criterion, the resulting closed-loop system is proved to be asymptotically stable. The main contribution is to deal with the differences between the T-S fuzzy bilinear model and the real system; a global asymptotically stable adaptive control scheme is presented for real complex systems. Finally, illustrative examples are provided to demonstrate the effectiveness of the results proposed in this paper.


Automatica ◽  
2004 ◽  
Vol 40 (4) ◽  
pp. 709-710
Author(s):  
Andrea Serrani

2019 ◽  
Vol 50 (2) ◽  
pp. 180-201 ◽  
Author(s):  
Bill Roungas ◽  
Femke Bekius ◽  
Sebastiaan Meijer

Background. The abstraction of complex systems, which is required by default when modelling gaming simulations, is a convoluted and time-consuming process. For gaming simulations to be efficient and effective, the problem of the real system they imitate needs to be narrowed down and simplified as much as possible. Additionally, even after abstraction of the real system, multiple design decisions need to be made and these may differ depending on the gaming simulation. Aim. This article proposes a framework for formalizing, and consequently standardizing, expediting and simplifying, the modelling of gaming simulations. Method. The proposed framework applies game concepts pertaining to game theory in the abstraction of the real system and the game design decisions. Results. Application of the framework in three case studies reveals several advantages of incorporating game theory into game design, such as formally defining the game design elements and identifying the worst-case scenarios in the real-systems, to name but two. Conclusions. Given the framework’s advantages in general, and the game design recommendations it offers in particular, it is safe to conclude that, for the cases presented in this article, the framework make positive contributions towards the development of gaming simulations.


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