QFT based gain-scheduling control design for linear time-varying systems

Author(s):  
Jae Weon Choi ◽  
Ki Hong Im ◽  
J. Jim Zhu
Author(s):  
S. Kalender ◽  
H. Flashner

This paper proposes a new design approach for periodically time-varying systems. The approach is based on the application of point-mapping technique to obtain an equivalent linear time invariant sampled data system for the linear periodically time varying system with parameterized control vector, thus allowing the known control design techniques for sampled data systems to be applied. An extension of the approach for analysis of robustness of the control design with respect to parametric uncertainties is also presented. The extension is based on retaining linear as well as higher order terms in the uncertain parameters in the point-mapping algorithm. To illustrate the approach, stabilization of the trivial equilibrium point for a mathematical model representing the dynamics for a double inverted pendulum with periodic forcing is considered. The effectiveness of the extension of the approach for robust stability analysis is demonstrated also by considering uncertain periodic forcing parameters for the double inverted pendulum example.


2003 ◽  
Vol 17 (4) ◽  
pp. 484-491
Author(s):  
Jae Weon Choi ◽  
Wan-Suk Yoo ◽  
Suk Lee ◽  
Ki Hong Im ◽  
Jin Young Choi

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