计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
20期
259-263
,共5页
时滞不确定系统%观测器%反馈%奇异值分解(SVD)%线性矩阵不等式
時滯不確定繫統%觀測器%反饋%奇異值分解(SVD)%線性矩陣不等式
시체불학정계통%관측기%반궤%기이치분해(SVD)%선성구진불등식
time-delay uncertain systems%observer%feedback%Singular Value Decomposition(SVD)%Linear Matrix Inequality(LMI)
针对发动机怠速控制系统时滞、不确定性等特点，提出一种基于状态观测的状态反馈控制方法。根据发动机力学原理建立发动机数学模型，并给出Luenberger型状态估计；基于Lyapunov泛函理论，给出闭环系统鲁棒渐近稳定的充分条件。进一步，运用矩阵奇异值分解（SVD）和线性矩阵不等式（LMI）方法，获得观测-状态反馈控制器参数的求解方法。所得结果以LMI形式给出，可以方便地利用Matlab工具箱求解。通过数值仿真，表明该方法的有效性。
針對髮動機怠速控製繫統時滯、不確定性等特點，提齣一種基于狀態觀測的狀態反饋控製方法。根據髮動機力學原理建立髮動機數學模型，併給齣Luenberger型狀態估計；基于Lyapunov汎函理論，給齣閉環繫統魯棒漸近穩定的充分條件。進一步，運用矩陣奇異值分解（SVD）和線性矩陣不等式（LMI）方法，穫得觀測-狀態反饋控製器參數的求解方法。所得結果以LMI形式給齣，可以方便地利用Matlab工具箱求解。通過數值倣真，錶明該方法的有效性。
침대발동궤태속공제계통시체、불학정성등특점，제출일충기우상태관측적상태반궤공제방법。근거발동궤역학원리건립발동궤수학모형，병급출Luenberger형상태고계；기우Lyapunov범함이론，급출폐배계통로봉점근은정적충분조건。진일보，운용구진기이치분해（SVD）화선성구진불등식（LMI）방법，획득관측-상태반궤공제기삼수적구해방법。소득결과이LMI형식급출，가이방편지이용Matlab공구상구해。통과수치방진，표명해방법적유효성。
Engine speed control system is a complex time-delay uncertain system. In this paper, a combined observer and stated feedback controller design procedure for this system is proposed. Using the engine mechanical principle, the mathe-matical model is established as well as the Luenberger-observer. A sufficient condition for robust asymptotical stability of the closed-loop system is presented based on Lyapunov function theory. By using matrix’s Singular Value Decomposition (SVD)and Linear Matrix Inequality(LMI)techniques, the existence condition and method of designing an observer-based feedback controller is derived. The result is obtained in terms of LMI, which makes all the gain matrices can be easily obtained by Matlab’s LMI toolbox. The simulation results demonstrate the validity of this approach.
