Transient Response Control of Two-Mass System via Polynomial Approach

2014 ◽  
Vol 136 (6) ◽  
Author(s):  
Yue Qiao ◽  
Junyi Cao ◽  
Chengbin Ma
Keyword(s):  
Time Constant ◽  
Transient Response ◽  
Controller Design ◽  
Polynomial Method ◽  
Transient Responses ◽  
Mass System ◽  
Response Control ◽  
Characteristic Ratio ◽  
Starting Point ◽  
Generalized Time

This paper discusses the application of polynomial method in the transient response control of a benchmark two-mass system. It is shown that transient responses can be directly addressed by specifying the so-called characteristic ratios and the generalized time constant. The nominal characteristic ratio assignment (CRA) is a good starting point for controller design. And the characteristic ratios with lower indices have a more dominant influence. Two practical low-order control configurations, the integral-proportional (IP) and modified-integral-proportional-derivative (m-IPD) controllers are designed. The primary design strategy of the controllers is to guarantee the lower-index characteristic ratios to be equal to their nominal values, while the higher-index characteristic ratios are determined by the interaction with the generalized time constant and the limits imposed by zeros, a specific control configuration, etc. The demonstrated relationship between the transient responses and the assignments of characteristic ratios and generalized time constant in simulation and experiments explains the effectiveness of the polynomial-method-based controller design.

Transient response control via characteristic ratio assignment

2003 ◽  
Vol 48 (12) ◽  
pp. 2238-2244 ◽  
Author(s):  
Y.C. Kim ◽  
L.H. Keel ◽  
S.P. Bhattacharyya
Keyword(s):  
Transient Response ◽  
Response Control ◽  
Characteristic Ratio

A Simple Analog Feed-Forward Controller Design for DC-DC Buck Converter

2015 ◽  
Vol 643 ◽  
pp. 61-67
Author(s):  
Shu Wu ◽  
Yasunori Kobori ◽  
Haruo Kobayashi
Keyword(s):  
Transient Response ◽  
Pulse Width Modulation ◽  
Controller Design ◽  
Buck Converter ◽  
Charge Balance ◽  
Feed Forward ◽  
Feed Forward Control ◽  
Single Output ◽  
Output Capacitor ◽  
Feed Forward Controller

This paper presents usage of analog feed-forward control to improve the transient response of DC-DC buck converters with pulse-width-modulation (PWM). The analog feed-forward controller is simple and does not require complicated calculations. Duty cycle is modulated directly based on the charge balance of the output capacitor. Compared with conventional feedback control, this simple feed-forward controller reduces control delay and provides a satisfactory transient response. We apply this technique to a Single-Inductor-Dual-Output (SIDO) buck converter as well as a Single-Inductor-Single-Output (SISO) buck converter, and show that its cross-regulation is improved. We have validated the proposed method with SIMetrix simulations.

A model eliciting transient responses

1984 ◽  
Vol 246 (1) ◽  
pp. R114-R121 ◽  
Author(s):  
E. B. Ekblad ◽  
V. Licko
Keyword(s):  
Gastric Mucosa ◽  
Adenylate Cyclase ◽  
Chemical Transformation ◽  
Transient Response ◽  
Short Circuit ◽  
Short Circuit Current ◽  
Transient Responses ◽  
Histamine Secretion ◽  
Cyclic Monophosphate ◽  
Camp Stimulation

A simple parametrically controlled chemical transformation scheme is used to exemplify a model with transient response to sustained stimulation. More complicated schemes are also discussed. Analyses of three experimental examples are given: short-circuit current changes in toad bladder exposed to adenosine 3',5'-cyclic monophosphate (cAMP) stimulation; histamine secretion in acetylcholine-stimulated frog gastric mucosa; and cAMP dynamics, expressed in terms of adenylate cyclase dynamics, in histamine-stimulated frog gastric mucosa. The model responds primarily to the changes of the stimulator level, although it is not a model with derivative control.

Reduction of Limit Cycle Amplitude in the Presence of Backlash

1999 ◽  
Vol 121 (2) ◽  
pp. 278-284 ◽  
Author(s):  
Ronen Boneh ◽  
Oded Yaniv
Keyword(s):  
Nonlinear Control ◽  
Limit Cycle ◽  
Closed Loop ◽  
Controller Design ◽  
Linear Time ◽  
Design Technique ◽  
Feedback Systems ◽  
Mass System ◽  
Cycle Amplitude ◽  
Limit Cycle Amplitude

The majority of feedback systems driven by an electric motor can be represented by a two-mass system connected via a flexible drive element. Owing to the presence of backlash, the closed-loop performance such as precision speed, position and force control that can be achieved using a linear time invariant controller is limited, and it is expected that a nonlinear control would be superior. In this paper a nonlinear control structure is proposed and a systematic design technique presented. The advantages of the proposed design technique are: (i) It is robust to plant and backlash uncertainty; (ii) it is quantitative to specifications on the maximum limit cycle amplitude; and (iii) the closed loop is superior to a linear controller design both in lower bandwidth and in lower limit cycle amplitude. A design example is included.

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