Structural control of single-input rank one bilinear systems

Automatica ◽  
2016 ◽  
Vol 64 ◽  
pp. 8-17 ◽  
Author(s):  
Supratim Ghosh ◽  
Justin Ruths
1997 ◽  
Vol 68 (2) ◽  
pp. 361-372 ◽  
Author(s):  
A. Dunoyer ◽  
L. Balmer ◽  
K. J. Burnham ◽  
D. J. G. James

2000 ◽  
Vol 45 (11) ◽  
pp. 2150-2154 ◽  
Author(s):  
Kuo-Ming Lai ◽  
Jeang-Lin Chang ◽  
Yon-Ping Chen

2012 ◽  
Vol 433-440 ◽  
pp. 74-80
Author(s):  
Jian Zhong Sun ◽  
Jian Kang Lu ◽  
Bin Yang ◽  
Jun Li Li

In this paper, the multi-input linear and nonlinear mathematical differential equations of inverted pendulum system were established based on the traditional single-input linear inverted pendulum. Aiming at multi-input nonlinear model, nonlinear state transformation are carried through on the basis of the test of distribution involution and the calculation of integral manifold, then, the multi-input nonlinear inverted pendulum system was transformed into two single-input nonlinear inverted pendulum system to study. In the end, make use of related nonlinear system control theory of the sliding mode variable structure, designed the controller structure.


Author(s):  
M. Sarikaya ◽  
J. T. Staley ◽  
I. A. Aksay

Biomimetics is an area of research in which the analysis of structures and functions of natural materials provide a source of inspiration for design and processing concepts for novel synthetic materials. Through biomimetics, it may be possible to establish structural control on a continuous length scale, resulting in superior structures able to withstand the requirements placed upon advanced materials. It is well recognized that biological systems efficiently produce complex and hierarchical structures on the molecular, micrometer, and macro scales with unique properties, and with greater structural control than is possible with synthetic materials. The dynamism of these systems allows the collection and transport of constituents; the nucleation, configuration, and growth of new structures by self-assembly; and the repair and replacement of old and damaged components. These materials include all-organic components such as spider webs and insect cuticles (Fig. 1); inorganic-organic composites, such as seashells (Fig. 2) and bones; all-ceramic composites, such as sea urchin teeth, spines, and other skeletal units (Fig. 3); and inorganic ultrafine magnetic and semiconducting particles produced by bacteria and algae, respectively (Fig. 4).


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