In this paper, a method of determining the degree of stability of a feedback system, based on the frequencyresponse of the system's closed-loop transfer function (CLTF) is proposed. The degree of stability is qua...
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(纸本)9789806560598
In this paper, a method of determining the degree of stability of a feedback system, based on the frequencyresponse of the system's closed-loop transfer function (CLTF) is proposed. The degree of stability is quantified in terms of a phase margin (PM) and a gain margin (GM), which are respectively related to the phase and magnitude of this CLTF. It is shown theoretically that PM = 180 degrees-2 phi(R/C)(omega(2 phi)), i.e. the difference between 180 degrees and twice the phase of the CLTF at the intersection between its modulus and a sinusoidal function of its phase obtained when the open-loop transfer function (OLTF) crosses the magnitude 1. An experimental method of determining PM is described. A theoretical method of determining GM are also presented. For the critical open-loop phase 180 degrees, it is shown that the CLTF is also 180 degrees in phase. The proposed method is validated through simulations on second-order system.
In this paper we apply a filtered-X algorithm to an active feedback control structure and derive the transfer function of a closed-loop control system. Simulation studies are then carried out on the closed-loop proper...
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In this paper we apply a filtered-X algorithm to an active feedback control structure and derive the transfer function of a closed-loop control system. Simulation studies are then carried out on the closed-loop property while varying the parameters (input frequency, delays in plant, amplitude and phase of modeling filter). Several properties of adaptive feedback control are revealed. Experimental studies on feedback active noise control of noise in a finite duct and a small enclosure are described, and outstanding active noise control effects are achieved. Experimental results of closed-loop frequency response are also provided.
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