Formulating hybrid equations and state equations for nonlinear circuits using SPICE

2011 ◽  
pp. n/a-n/a ◽  
Author(s):  
Kiyotaka Yamamura ◽  
Mitsuru Tonokura
Keyword(s):  
Nonlinear Circuits ◽  
State Equations ◽  
Hybrid Equations

State Equations for a Spacecraft With Maneuvering Flexible Appendages in Terms of Quasi-Coordinates

1989 ◽  
Vol 42 (11S) ◽  
pp. S161-S170 ◽  
Author(s):  
L. Meirovitch ◽  
M. K. Kwak
Keyword(s):  
Dynamic Response ◽  
Equations Of Motion ◽  
Control Design ◽  
The State ◽  
Distributed Parameter ◽  
Main Body ◽  
State Equations ◽  
And Control ◽  
Hybrid Equations ◽  
Flexible Appendages

This paper is concerned with the derivation of the state equations of motion for a spacecraft consisting of a main rigid platform and a given number of flexible appendages changing the orientation relative to the main body. The equations are derived by means of Lagrange’s equations in terms of quasi-coordinates. Assuming that the appendages represent distributed-parameter members, the state equations of motion are hybrid. Moreover, they are nonlinear. Following spatial discretization and truncation, the hybrid equations reduce to a system of nonlinear discretized state equations, which are more practical for numerical calculations and control design. To illustrate the effect of nonlinearity on the dynamic response during reorientation, a numerical example involving spacecraft with a membrane-like antenna is presented.

Sign in / Sign up

Export Citation Format

Share Document