Time-domain noise analysis of linear time-Invariant and linear time-variant systems using MATLAB and HSPICE

2005 ◽  
Vol 52 (3) ◽  
pp. 805-812 ◽  
Author(s):  
S.C. Terry ◽  
B.J. Blalock ◽  
J.M. Rochelle ◽  
M.N. Ericson ◽  
S.D. Caylor
Keyword(s):  
Time Domain ◽  
Linear Time ◽  
Noise Analysis ◽  
Linear Time Invariant ◽  
Time Invariant

Time-Domain Adaptive Higher Harmonic Control for Rejection of Sinusoidal Disturbances

2020 ◽  
Vol 143 (5) ◽  
Author(s):  
Mohammadreza Kamaldar ◽  
Jesse B. Hoagg
Keyword(s):  
Frequency Domain ◽  
Time Domain ◽  
Linear Time ◽  
Linear Time Invariant ◽  
Harmonic Control ◽  
Lti System ◽  
Higher Harmonic Control ◽  
Higher Harmonic ◽  
The Stability ◽  
Time Invariant

Abstract This paper presents two new time-domain feedback controllers that reject sinusoidal disturbances with known frequencies acting on an asymptotically stable linear time-invariant (LTI) system. The first controller is time-domain higher harmonic control (TD-HHC), which is effective for uncertain LTI systems. The second controller is time-domain adaptive higher harmonic control (TD-AHHC), which is effective for completely unknown LTI systems. TD-HHC requires an estimate of the control-to-performance transfer function evaluated at the disturbance frequencies. In contrast, TD-AHHC does not require any information regarding the LTI system. We analyze the stability and closed-loop performance of TD-HHC and TD-AHHC. For both TD-HHC and TD-AHHC, we show that the controller asymptotically rejects the disturbance. We present numerical simulations comparing TD-HHC and TD-AHHC with frequency-domain higher harmonic control (FD-HHC), which is an existing frequency-domain controller for rejection of sinusoidal disturbances. We also present results from acoustic disturbance rejection experiments, which demonstrate the practical effectiveness of both TD-HHC and TD-AHHC.

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