Linear time varying systems and sampled-data systems

2001 ◽  
Keyword(s):  
Linear Time ◽  
Time Varying ◽  
Data Systems ◽  
Sampled Data ◽  
Time Varying Systems

On a restricted class of linear time-varying sampled-data systems

1966 ◽  
Vol 54 (2) ◽  
pp. 289-290
Author(s):  
A.J. Koivuniemi ◽  
W.E. Meserve
Keyword(s):  
Linear Time ◽  
Time Varying ◽  
Data Systems ◽  
Sampled Data ◽  
Restricted Class

Sampled-data control for a class of linear time-varying systems

Automatica ◽  
2019 ◽  
Vol 103 ◽  
pp. 126-134 ◽  
Author(s):  
Wenbing Zhang ◽  
Qing-Long Han ◽  
Yang Tang ◽  
Yurong Liu
Keyword(s):  
Linear Time ◽  
Time Varying ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
Time Varying Systems

Linear time-varying H2-optimal control of sampled-data systems

Automatica ◽  
1991 ◽  
Vol 27 (6) ◽  
pp. 963-974 ◽  
Author(s):  
Tongwen Chen ◽  
Bruce A. Francis
Keyword(s):  
Optimal Control ◽  
Linear Time ◽  
Time Varying ◽  
Data Systems ◽  
Sampled Data

A New Approach for Control of Linear Periodically Time Varying Systems

2006 ◽  
Author(s):  
S. Kalender ◽  
H. Flashner
Keyword(s):  
Inverted Pendulum ◽  
Linear Time ◽  
Control Design ◽  
Mapping Technique ◽  
Time Varying ◽  
Sampled Data ◽  
Periodic Forcing ◽  
Point Mapping ◽  
Robust Stability Analysis ◽  
Time Varying Systems

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.

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