scholarly journals Extremum-seeking control for optimization of time-varying steady-state responses of nonlinear systems

Automatica ◽  
2020 ◽  
Vol 119 ◽  
pp. 109068
Author(s):  
Leroy Hazeleger ◽  
Mark Haring ◽  
Nathan van de Wouw
Keyword(s):  
Steady State ◽  
Nonlinear Systems ◽  
Extremum Seeking ◽  
Time Varying ◽  
Extremum Seeking Control ◽  
Steady State Responses ◽  
State Responses

Weak Instability of Chen–Ricles Explicit Method for Structural Dynamics

2018 ◽  
Vol 13 (5) ◽  
Author(s):  
Shuenn-Yih Chang
Keyword(s):  
Steady State ◽  
Nonlinear Systems ◽  
High Frequency ◽  
Explicit Method ◽  
Order Accuracy ◽  
Practical Applications ◽  
Correction Scheme ◽  
Highly Nonlinear ◽  
Steady State Responses ◽  
State Responses

Although the Chen–Ricles (CR) explicit method (CRM) (proposed by Chen and Ricles) has been claimed to have desired numerical properties, such as unconditional stability, explicit formulation, and second-order accuracy, it also shows some unusual properties, such as a less accuracy of solving highly nonlinear systems, a high-frequency overshoot in steady-state responses, and a weak instability. A correction scheme by adjusting the displacement difference equation with a loading term can be employed to extinguish the high-frequency overshoot in steady-state responses. However, there is still no way to get rid of the weak instability and to improve the less accuracy of solving highly nonlinear systems. It is recognized that a weak instability might result in inaccurate solutions or numerical explosions. Hence, the practical applications of CRM are strictly limited.

Extremum-seeking control for nonlinear systems with periodic steady-state outputs

Automatica ◽  
2013 ◽  
Vol 49 (6) ◽  
pp. 1883-1891 ◽  
Author(s):  
Mark Haring ◽  
Nathan van de Wouw ◽  
Dragan Nešić
Keyword(s):  
Steady State ◽  
Nonlinear Systems ◽  
Extremum Seeking ◽  
Extremum Seeking Control ◽  
Periodic Steady State

Effects of Input Synchrony on the Firing Rate of a Three-Conductance Cortical Neuron Model

1994 ◽  
Vol 6 (6) ◽  
pp. 1111-1126 ◽  
Author(s):  
Venkatesh N. Murthy ◽  
Eberhard E. Fetz
Keyword(s):  
Steady State ◽  
Firing Rate ◽  
Cortical Neuron ◽  
Critical Value ◽  
Time Varying ◽  
Synaptic Inputs ◽  
Firing Rates ◽  
Steady State Responses ◽  
Cross Correlations ◽  
State Responses

For a model cortical neuron with three active conductances, we studied the dependence of the firing rate on the degree of synchrony in its synaptic inputs. The effect of synchrony was determined as a function of three parameters: number of inputs, average input frequency, and the synaptic strength (maximal unitary conductance change). Synchrony alone could increase the cell's firing rate when the product of these three parameters was below a critical value. But for higher values of the three parameters, synchrony could reduce firing rate. Instantaneous responses to time-varying input firing rates were close to predictions from steady-state responses when input synchrony was high, but fell below steady-state responses when input synchrony was low. Effectiveness of synaptic transmission, measured by the peak area of cross-correlations between input and output spikes, increased with increasing synchrony.

Estimating the Audiogram Using Multiple Auditory Steady-State Responses

2002 ◽  
Vol 13 (04) ◽  
pp. 205-224 ◽  
Author(s):  
Andrew Dimitrijevic ◽  
Sasha M. John ◽  
Patricia Van Roon ◽  
David W. Purcell ◽  
Julija Adamonis ◽  
...  
Keyword(s):  
Steady State ◽  
Correlation Coefficients ◽  
Behavioral Threshold ◽  
Behavioral Thresholds ◽  
Sensorineural Hearing Impairment ◽  
Steady State Responses ◽  
Auditory Steady State Responses ◽  
Tonal Stimuli ◽  
Conductive Hearing ◽  
State Responses

Multiple auditory steady-state responses were evoked by eight tonal stimuli (four per ear), with each stimulus simultaneously modulated in both amplitude and frequency. The modulation frequencies varied from 80 to 95 Hz and the carrier frequencies were 500, 1000, 2000, and 4000 Hz. For air conduction, the differences between physiologic thresholds for these mixed-modulation (MM) stimuli and behavioral thresholds for pure tones in 31 adult subjects with a sensorineural hearing impairment and 14 adult subjects with normal hearing were 14 ± 11, 5 ± 9, 5 ± 9, and 9 ± 10 dB (correlation coefficients .85, .94, .95, and .95) for the 500-, 1000-, 2000-, and 4000-Hz carrier frequencies, respectively. Similar results were obtained in subjects with simulated conductive hearing losses. Responses to stimuli presented through a forehead bone conductor showed physiologic-behavioral threshold differences of 22 ± 8, 14 ± 5, 5 ± 8, and 5 ± 10 dB for the 500-, 1000-, 2000-, and 4000-Hz carrier frequencies, respectively. These responses were attenuated by white noise presented concurrently through the bone conductor.

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