限制極點分佈區域之全域強韌飛行控制器設計:使用線性矩陣不等式

Abstract

本篇論文利用限制極點分佈區域來設計飛行控制系統，極點分部區域 之限制條件可以由線性矩陣不等式來表示。本文所提之方法乃是去設計一 個狀態回授控制器，將若干線性非時變子系統之極點限制於一個 LMI的穩 定區域內，其中這些 LTI子系統是從該非線性系統之若干不同操作點所求 得的，且LMI 穩定區域則定義為複數平面的左半平面的某一子區域內。所 以本文所建議之設計方法的目的，乃是設計一線性全域控制器來控制一非 線性系統。由非線性飛行模擬顯示，對於每一飛行路徑，藉由一組控制增 益即可使該飛機模型的行為均在已給予之需求內。此外，在大範圍飛行、 或甚至在水平氣流干擾影響下，每一全域狀態回授控制器均表現出其穩定 性與強韌性。 This paper addresses the design of flight control system by using pole placement constraints. The conditions of the pole placement constraints are expressed in terms of linear matrix inequalities (LMI). The proposed method is focusing on shifting the poles of a number of LTI subsystems intoa desired LMI stable region by using a state-feedback controller. These LTI subsystems are obtained from the nonlinear system at several different operating conditions. Thus, the purpose of our proposed method is to design a global linear controller for a nonlinear plant. By using only one set of control gains for each flight condition, the simulation results of the nonlinear flight system indicate that the behaviors of the aircraft model are within the given requirements. Furthermore, each global state-feedback controller guarantees stability and robustness in an extended flight envelope even with the effect of the disturbance of a horizontal wind.