量化回授理論用於彈道飛彈之強健控制器設計

Robust Controller Design for Ballistic Missiles: QFT Approach

張永華(Yeong-Hwa Chang) ； 張錦川(Jeen-Chuan Chang) ； 陳立偉(Li-Wei Chen)

《中國航空太空學會學刊》 29卷4期 (1997/12) Pp. 293-300

https://doi.org/10.6124/TAASRC.199712_29(4).01

摘要

本文係以量化回授理論為基礎，並運用多迴路合成法設計彈道飛彈控制系統的強健控制器。在設計的過程中，我們不僅考慮了飛彈的氣動力參數變化，同時亦將飛彈伺服馬達電氣參數可能的擾動情況列入考量。爲了驗證及說明此種設計方法之可行性及優越性，吾人將針對伺服馬達的不確定性及四組不同飛行狀況的氣動力參數，分別設計內迴路及外迴路二個強健控制器；內迴路控制器的設計主要是用以解決馬達電氣參數的變化，至於飛彈氣動力參數的變動，則是以外迴路設計來加以克服（此時內迴路可視爲不變的系統）。模擬的結果說明了在不同的飛行條件下，不但能符合性能規格所需，而且相較於單迴路設計法，此法具有較小的閉迥路頻寬，其抗雜訊能力亦較佳。

關鍵字

彈道飛彈 ； 量化回授理論QFT ； 強健控制 ； 多迴路合成

並列摘要

This paper considers the robust controller design for ballistic missiles by using quantitative feedback theory and multiple-loop synthesis method. We not only address the possible variation of aerodynamics, but also we take the perturbation of electric parameters of servo motors into consideration. To evaluate the feasibility of the adopted design method, we use four different flight conditions to design required robust controllers, where the inner-loop controller is designed to conquer the variations of servo motor parameters, and the outer-loop controller is designed to overcome the changes of aerodynamics. Simulation results illustrate that all the required performances are achieved under different flight conditions. Moreover, compared to the conventional QFT single-loop design methodology, the QFT multiple-loop synthesis technique considerably deduce the bandwidth of the closed-loop system, such that the effect of noise rejection is better.

並列關鍵字

ballistic missile ； quantitative feedback theory QFT ； robust control ； multiple-loop synthesis