scholarly journals Frequency-domain analysis of linear time-periodic systems

2004 ◽  
Author(s):  
H. Sandberg ◽  
E. Mollerstedt ◽  
B. Bernhardsson
Keyword(s):  
Frequency Domain ◽  
Linear Time ◽  
Domain Analysis ◽  
Frequency Domain Analysis ◽  
Periodic Systems ◽  
Time Periodic

scholarly journals Frequency-domain analysis of linear time-periodic systems

2005 ◽  
Vol 50 (12) ◽  
pp. 1971-1983 ◽  
Author(s):  
H. Sandberg ◽  
E. Mollerstedt ◽  
Bernhardsson
Keyword(s):  
Frequency Domain ◽  
Linear Time ◽  
Domain Analysis ◽  
Frequency Domain Analysis ◽  
Periodic Systems ◽  
Time Periodic

A Frequency Domain Analysis of Learning Control

1994 ◽  
Vol 116 (4) ◽  
pp. 781-786 ◽  
Author(s):  
C. J. Goh
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Linear Time ◽  
Planning Horizon ◽  
Time Domain Analysis ◽  
Learning Control ◽  
Domain Analysis ◽  
Frequency Domain Analysis ◽  
Convergence Criterion ◽  
The Time Domain

The convergence of learning control is traditionally analyzed in the time domain. This is because a finite planning horizon is often assumed and the analysis in time domain can be extended to time-varying and nonlinear systems. For linear time-invariant (LTI) systems with infinite planning horizon, however, we show that simple frequency domain techniques can be used to quickly derive several interesting results not amenable to time-domain analysis, such as predicting the rate of convergence or the design of optimum learning control law. We explain a paradox arising from applying the finite time convergence criterion to the infinite time learning control problem, and propose the use of current error feedback for controlling possibly unstable systems.

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