A Modified Model Referenced Adaptive Control Technique for Nonlinear Dynamic Systems

1992 ◽  
Vol 114 (2) ◽  
pp. 154-160 ◽  
Author(s):  
H. M. Sardar ◽  
M. Ahmadian
Keyword(s):  
Adaptive Control ◽  
Dynamic Systems ◽  
Process Simulation ◽  
Control Process ◽  
Nonlinear Dynamic Systems ◽  
Control Technique ◽  
Modified Model ◽  
Fundamental Understanding ◽  
Simulation Results ◽  
The Relationship

It has been shown that the model referenced adaptive control (MRAC) scheme developed by Dubowsky and DesForges (1979) is effective for controlling nonlinear systems provided that the adjusting mechanism, which modifies the control gains, is selected properly. This study presents a modified MRAC Scheme that includes a technique for effectively designing the adjusting mechanism. A fundamental understanding of the relationship between the control process and the adjusting mechanism is developed. Next, this knowledge is used to establish a systematic procedure for designing the adjusting mechanism through an optimization process. Simulation results for the UCLA arm are presented to demonstrate the effectiveness and validity of the method.

scholarly journals Fuzzy Logic Control of a Ball on Sphere System

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Seyed Alireza Moezi ◽  
Ehsan Zakeri ◽  
Yousef Bazargan-Lari ◽  
Mahmood Khalghollah
Keyword(s):  
Fuzzy Logic ◽  
Dynamic Systems ◽  
Fuzzy Logic Control ◽  
Fuzzy Controller ◽  
Nonlinear Dynamic Systems ◽  
Underactuated System ◽  
Control Problems ◽  
Logic Control ◽  
Good State ◽  
Simulation Results

The scope of this paper is to present a fuzzy logic control of a class of multi-input multioutput (MIMO) nonlinear systems called “system of ball on a sphere,” such an inherently nonlinear, unstable, and underactuated system, considered truly to be two independent ball and wheel systems around its equilibrium point. In this work, Sugeno method is investigated as a fuzzy controller method, so it works in a good state with optimization and adaptive techniques, which makes it very attractive in control problems, particularly for such nonlinear dynamic systems. The system’s dynamic is described and the equations are illustrated. The outputs are shown in different figures so as to be compared. Finally, these simulation results show the exactness of the controller’s performance.

Mathaphors and Faith Understandings of Consciousness

2005 ◽  
Vol 17 (1) ◽  
pp. 88-104
Author(s):  
Sarah Voss ◽  
Keyword(s):  
Quantum Theory ◽  
Dynamic Systems ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Systems ◽  
The Internet ◽  
Mathematical Language ◽  
Multiple Realities ◽  
Persuasive Power ◽  
The Relationship ◽  
Eastern Traditions

This essay explores how contemporary metaphors drawn from mathematical language impact current faith understandings of consciousness. Complicated by a pervasive ambiguity in the way society defines consciousness, and widespread cultural blindness when it comes to recognizing metaphors that emerge from mathematics, this study is necessarily more speculative than conclusive. Nonetheless, even a brief examination of "conscious computers" shows the persuasive power of mathaphors to alter long-held convictions about humanity. The mathematics of holography, nonlinear dynamic systems, hyperspace, quantum theory, and the Internet give rise to other modem mathaphors. Taken together, these images suggest understandings of consciousness that accommodate more mystically-oriented faith interpretations, move Western religious sentiments closer to those of Eastern traditions, redefine the relationship between the animate and the inanimate, and between human and God, accept multiple realities as the norm, and, generally, offer profound implications for spiritual outlooks and choices.

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