On interconnections of “mixed” systems using classical stability theory

2012 ◽  
Vol 61 (5) ◽  
pp. 676-682 ◽  
Author(s):  
Wynita M. Griggs ◽  
S. Shravan K. Sajja ◽  
Brian D.O. Anderson ◽  
Robert N. Shorten

The approximation of different rational form of equations involving functions on both sides is an interesting study in the research topic of classical approximation of equations. The intention of this study is to obtain approximate reciprocal fifth power mapping through classical stability theory and to link the equations dealt in this study with various postulations occurring in physics, chemistry and mechanics.



2006 ◽  
Vol 39 (8) ◽  
pp. 251-262 ◽  
Author(s):  
Gennady A. Leonov


Author(s):  
Andreas Groß ◽  
Nikolai Kornev ◽  
Tobias Hahn ◽  
Bernhard Lampe ◽  
Wolfgang Drewelow

The paper presents the motion simulation of a Wing in Ground craft with a Lippisch configuration which is stable in terms of static stability. The influence of wind and wave perturbations on the dynamic stability of the flight are investigated. The analysis of safety and stability used two different approaches. Based on frequency domain simulation, the first approach derived from the classical stability theory utilizes the aerodynamic coefficients and their linearized derivatives. The second approach based on time domain simulation uses the coefficients with full respect to the nonlinear character of aerodynamics in ground effect. The trajectory is used to evaluate the dynamic stability and flight safety of the craft. From the results for typical perturbations, the limitations of the classical stability theory for the flight safety of Wing in Ground craft are shown. The results show the necessity of the automatic control system even for a satisfying stable craft predicted by the linear theory. The demand of high performance together with the hard constraints for states and control inputs are challenging for the controller design. A proportional-integral-derivative controller is studied to secure the flight safety of small craft under different perturbation and a methodology for designing a control system for operation under various weather conditions is illustrated.



2016 ◽  
Author(s):  
Steven Buechler




Author(s):  
Steven Buechler




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