【摘要】：針對含有一個(gè)分?jǐn)?shù)階項(xiàng)的區(qū)間分?jǐn)?shù)階被控對象,提出了采用分?jǐn)?shù)階PI~λ控制器的閉環(huán)系統(tǒng)可鎮(zhèn)定性判定準(zhǔn)則.將閉環(huán)系統(tǒng)的特征函數(shù)分解為擾動(dòng)函數(shù)和標(biāo)稱函數(shù),給出了擾動(dòng)函數(shù)值集頂點(diǎn)的構(gòu)造方法.根據(jù)被控對象分?jǐn)?shù)階階次和控制器的階次,研究了值集形狀是否切換和切換頻率的計(jì)算方法.此外,給出了測試頻率區(qū)間的上下界,以實(shí)現(xiàn)在有限頻率區(qū)間內(nèi)判定閉環(huán)系統(tǒng)值集與原點(diǎn)的位置關(guān)系.在假設(shè)值集頂點(diǎn)函數(shù)在測試頻率區(qū)間內(nèi)不為零和閉環(huán)標(biāo)稱系統(tǒng)穩(wěn)定的情況下,以解析的方式提出了采用分?jǐn)?shù)階PI~λ控制器閉環(huán)系統(tǒng)的可鎮(zhèn)定性判定準(zhǔn)則.最后,通過對數(shù)值算例的可鎮(zhèn)定性分析,驗(yàn)證了提出的判定準(zhǔn)則的有效性.
[Abstract]:For an interval fractional order controlled plant with a fractional order term, a stabilization criterion for closed loop systems using fractional order PI位 controller is proposed. The eigenfunction of closed loop system is decomposed into perturbation function and nominal function. The method of constructing vertex of perturbation function value set is given. According to the fractional order of the controlled object and the order of the controller, the calculation method of whether the shape of the value set is switched and the switching frequency is studied. In addition, the upper and lower bounds of the test frequency interval are given to determine the position relationship between the value set and the origin of the closed-loop system in the finite frequency range. Under the assumption that the vertex function of the set of values is stable in the closed loop nominal system without zero sum in the test frequency range, a stabilization criterion for the closed-loop system using fractional order PI- 位 controller is proposed in an analytical manner. Finally, the validity of the proposed criterion is verified by qualitative analysis of numerical examples.
【作者單位】： 遼寧大學(xué)輕型產(chǎn)業(yè)學(xué)院;
【基金】：國家自然科學(xué)基金(61304094) 遼寧省教育廳科學(xué)研究一般項(xiàng)目(L2015194,L2015198)資助~~
【分類號(hào)】：TP273

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本文編號(hào)：2178546