Abstract : a bandgap voltage reference is presented with a piecewise - linear compensating circuit in order to reduce the temperature coefficient . the basic principle is to divide the whole operating temperature range into some sub - ranges . at different temperature sub - ranges the bandgap reference can be compensated by different linear functions . since the temperature sub - range is much narrower than the whole range , the compensation error can be reduced significantly . theoretically , the precision can be improved unlimitedly if the sub - ranges are narrow enough . in the given example , with only three temperature sub - ranges , the temperature coefficient of a conventional bandgap reference drops from 1 . 5 10 - 5 / to 2 10 - 6 / over the - 40 to 120 temperature range 文摘:提出了一種采用分段線性補(bǔ)償?shù)姆椒▉韺?shí)現(xiàn)高精度帶隙基準(zhǔn),其基本原理是將整個溫度區(qū)間分為若干個子區(qū)間,在不同子區(qū)間上采用不同線性補(bǔ)償函數(shù)達(dá)到最佳補(bǔ)償.由于溫度區(qū)間縮小,補(bǔ)償誤差也隨之減小,從而在整個工作溫度間上的補(bǔ)償誤差也縮小.理論上,只要溫度子區(qū)間取得足夠小,就可以達(dá)到任意精度.示例中將- 40 120的溫度區(qū)間僅分為三個子區(qū)間,平均溫度系數(shù)就從1 . 5 10 - 5 /減小到2 10 - 6 /
An off - line algorithm of constrained model predictive control based on piecewise - linear feedback control law is presented to solve its potentially high on - line computational demand . the piecewise - linear feedback control law is off - line computed by lmi optimization problems and the on - line control computation reduces to the simple evaluation of the defined piecewise linear function , which makes the online computational efficiency significantly improved . 4 針對預(yù)測控制滾動優(yōu)化命題的在線計算任務(wù)大,作者提出了一種基于分段反饋的離線預(yù)測控制算法,通過離線求解線性矩陣不等式優(yōu)化命題構(gòu)造分段反饋控制律,在線運(yùn)行時只需實(shí)施滿足條件的反饋控制律,極大地提高了控制器在線計算效率。
Based on the theory of piecewise - linear , the paper carries through the research of model self - adaptive control to electric arc - furnace electrode regulator system ( eafers ) , and the digital self - adaptive control law of reference model is deduced . then , we designed the software simulation system of eafers according to the law , though which we studied the character of eafers . finally , a set of physical model of eafers , which is realized by hardware circuit , is designed according to the former research 本文首先應(yīng)用分段線性化理論,對電弧爐電極調(diào)節(jié)系統(tǒng)的模型參考自適應(yīng)控制算法進(jìn)行了研究,推導(dǎo)出全數(shù)字化的模型參考自適應(yīng)律;然后根據(jù)推導(dǎo)出的自適應(yīng)律成功的設(shè)計出了的軟件仿真系統(tǒng),用軟件對電弧爐電極控制進(jìn)行了仿真研究;最后利用電子電路構(gòu)造出一套完整的電爐煉鋼電極控制硬件仿真系統(tǒng),對電爐電極調(diào)節(jié)進(jìn)行了實(shí)驗(yàn)室電路仿真研究。
A stabilizing receding horizon control algorithm based on piecewise - linear terminal weighting matrix is proposed for discrete linear systems with constraint . the piecewise - linear terminal weighting matrix is off - line computed by lmi optimization problems and the on - line computation reduces to the simple switch of the piecewise - linear terminal weighting matrix . the main advantage of this approach is that a trade - off between feasibility and optimality is obtained 作者提出了一種基于分段終端加權(quán)的預(yù)測控制算法,通過離線求解線性矩陣不等式優(yōu)化命題構(gòu)造分段終端加權(quán)矩陣,在線運(yùn)行時根據(jù)系統(tǒng)狀態(tài)動態(tài)切換終端加權(quán)矩陣,既保證了算法的穩(wěn)定可行域,又考慮了算法的最優(yōu)性。