Signal stabilization of a control system

Oldenburger, Rufus; Liu, C. C.

doi:10.1109/tai.1959.6371545

Cited by 23 publications

(10 citation statements)

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“…Oldenburger and Boyer 1451 generalize the theory developed in reference [40] for sinusoidal stabilizing signals.…”

Section: The Second Methods Of Liapunovmentioning

confidence: 99%

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Present State of the Art in the Specification of Nonlinear Control Systems

Gibson¹,

McVey²,

Leedham³

et al. 1961

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“…Oldenburger and Boyer 1451 generalize the theory developed in reference [40] for sinusoidal stabilizing signals.…”

Section: The Second Methods Of Liapunovmentioning

confidence: 99%

“…Recently Gibson and Sridhar [40] have proposed a new method for considering certain specific nonlinear systems with sinusoidal inputs without putting any restrictions on the frequency of the input. This method will be discussed further in the next section.…”

Section: The Second Methods Of Liapunovmentioning

confidence: 99%

Present State of the Art in the Specification of Nonlinear Control Systems

Gibson¹,

McVey²,

Leedham³

et al. 1961

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“…whereȳ is the average of y(t) within one period of the dither signal (10) . When U b is replaced by a time varying …”

Section: The Dither-smoothing Technologymentioning

confidence: 99%

Compensation and Control of Dither-Smoothed Nonlinearities

Shyu

Lee

2006

JSME Int. J., Ser. C

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A novel approach to linearize nonlinearities commonly inherent in actuators is proposed in this paper. This approach solves the inverse of the nonlinearity without requiring its I/O relations as a one-on-one map, which is necessary for the current inverse-model method. By introducing the concept of the equivalent gain, the proposed method systematically finds the inverse model of the nonlinearity by solving a zero-finding problem. Discussions on the existence and uniqueness of the solution are given in this paper. A simulation example is presented to demonstrate how the task in finding the inverse of a complicated nonlinearity can be simplified by the proposed method. Experimental evaluations on a position servo system with conspicuous friction reveal that the dither-smoothed nonlinearities are still nonlinear, and compensating action like the proposed method is necessary for control systems using the dithering technology.

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“…However, the double sinusoidal input led to the use of cumbersome double integrals and the work was limited to the relay type of the nonlinear elements. Oldenburger [3] reported the introduction of a stabilizing signal to remove the self-excited oscillations of unstable nonlinear systems and gave some simulated results for a governor-engine system. Oldenburger and Liu [4] investigated a system with limiter using sinusoidal dither signal and presented a concept of equivalent gain in analyzing the system.…”

Section: Introductionmentioning

confidence: 99%

“…Oldenburger [3] reported the introduction of a stabilizing signal to remove the self-excited oscillations of unstable nonlinear systems and gave some simulated results for a governor-engine system. Oldenburger and Liu [4] investigated a system with limiter using sinusoidal dither signal and presented a concept of equivalent gain in analyzing the system. Boycer [5] derived altered characteristics and altered describing functions (pseudo describing function) for several nonlinear elements in the presence of the dither signals.…”

Section: Introductionmentioning

confidence: 99%

Experimental and analytical studies of the sinusoidal dither signal in a DC motor system

Tung

Chen

1993

Dynamics and Control

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Abstract. In this article we are concerned with the implementation of a dither signal for a closed-loop DC motor system. Experimental studies show that the system contains two nonlinearities that are saturated with dead zone and backlash. Parameter estimation techniques are used to identify the unknown system parameters with special care due to the existence of system nonlinearities. An analytical method is then presented to deal with the closedloop DC motor system with two nonlinearities in the loop. Self-excited oscillations are found to exist in the system. A good correlation between the theoretical and experimental results indicates the success of the system identification and modelling process. Also the ability of dither to quench the limit cycle is demonstrated from these results.

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Signal stabilization of a control system

Cited by 23 publications

References 0 publications

Present State of the Art in the Specification of Nonlinear Control Systems

Present State of the Art in the Specification of Nonlinear Control Systems

Compensation and Control of Dither-Smoothed Nonlinearities

Experimental and analytical studies of the sinusoidal dither signal in a DC motor system

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