The Experts below are selected from a list of 6021 Experts worldwide ranked by ideXlab platform
Luc Mongeau - One of the best experts on this subject based on the ideXlab platform.
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dual driver standing wave tube acoustic impedance matching with robust repetitive control
IEEE Transactions on Control Systems and Technology, 2004Co-Authors: Yaoyu Li, George T C Chiu, Luc MongeauAbstract:In some acoustic applications, it may be desirable to make a shorter standing wave tube operate like a longer tube at the same driving frequency. The basic idea is to reduce the length of a long tube, and replace the removed section with a secondary driver. The problem is then to match the acoustic impedance at the boundary where the secondary driver is installed to that of the original system. Two control formulations were investigated for this problem: a two-input-two-output (TITO) and a single-input-single-output (SISO) formulation. The TITO formulation directly tracks the two acoustic variables associated with the desired acoustic impedance, while the SISO formulation minimizes the impedance matching error. The desired impedance containing a very lightly damped mode is embedded in the augmented plant for feedback control design. In addition to the balance realization Method, the Schur Method was used for model reduction for the high-order plant. Since the standing wave tubes are driven by tonal signals, repetitive control was incorporated into the control frameworks to achieve the desired performance. Good performance of impedance matching was obtained for both formulations. The SISO formulation yielded slightly wider bandwidth of good impedance matching than the TITO. The TITO formulation offered additional control to individual signals related to the acoustic impedance of interest.
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dual driver standing wave tube acoustic impedance matching with robust repetitive control
American Control Conference, 2002Co-Authors: Yaoyu Li, George T C Chiu, Luc MongeauAbstract:In many applications of acoustic standing wave tubes, for instance thermoacoustic heat pumping systems, it is desirable to make a shorter tube operate like a longer standing wave tube at the same driving frequency. The basic idea here is to reduce the physical length of the tube, and replace the removed section with a secondary driver. The problem is then to match the acoustic impedance at the boundary where the secondary driver is installed to that of the original system. A two-input-two-output (TITO) formulation directly tracks the two acoustic variables related to the impedance, while a SISO formulation minimizes the impedance matching error. The desired impedance containing a very lightly damped mode is embedded in the augmented plant for feedback control design. In addition to the balance realization Method, the Schur Method was used in model reduction for the high-order non-minimum phase plants. Since the standing wave tubes are driven by tonal signals, repetitive control was incorporated into the control frameworks to achieve the desired performance. Good impedance matching performance was obtained for both formulations. The formulations are compared.
Xu Shu-fang - One of the best experts on this subject based on the ideXlab platform.
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A modified Schur Method for robust pole assignment in state feedback control
automatica, 2015Co-Authors: Guo Zhen-chen, Cai Yun-feng, Qian Jiang, Xu Shu-fangAbstract:Recently, a Schur Method was proposed in Chu (2007) to solve the robust pole assignment problem in state feedback control. It takes the departure from normality of the closed-loop system matrix A(c) as the measure of robustness, and intends to minimize it via the real Schur form of A(c). The Schur Method works well for real poles, but when complex conjugate poles are involved, it does not produce the real Schur form of A(c) and can be problematic. In this paper, we propose a modified Schur Method, which improves Schur when nonreal poles are to be assigned. Besides producing the real Schur form of A(c), our approach also leads to a relatively small departure from normality of A(c). Numerical examples show that our modified Method produces better or at least comparable results than both place and robpole algorithms, with much less computational costs. (C) 2014 Elsevier Ltd. All rights reserved.Automation & Control SystemsEngineering, Electrical & ElectronicSCI(E)EI0ARTICLEguozhch06@gmail.com; yfcai@math.pku.edu.cn; jqian104@gmail.com; xsf@pku.edu.cn334-3395
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A Modified Schur Method for Robust Pole Assignment in State Feedback Control
2014Co-Authors: Zhen-chen Guo, Yunfeng Cai, Jiang Qian, Xu Shu-fangAbstract:Recently, a \textbf{Schur} Method was proposed in \cite{Chu2} to solve the robust pole assignment problem in state feedback control. It takes the departure from normality of the closed-loop system matrix $A_c$ as the measure of robustness, and intends to minimize it via the real Schur form of $A_c$. The \textbf{Schur} Method works well for real poles, but when complex conjugate poles are involved, it does not produce the real Schur form of $A_c$ and can be problematic. In this paper, we put forward a modified Schur Method, which improves the efficiency of \textbf{Schur} when complex conjugate poles are to be assigned. Besides producing the real Schur form of $A_c$, our approach also leads to a relatively small departure from normality of $A_c$. Numerical examples show that our modified Method produces better or at least comparable results than both \textbf{place} and \textbf{robpole} algorithms, with much less computational costs.Comment: 24 pages, 4 figure
Yaoyu Li - One of the best experts on this subject based on the ideXlab platform.
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dual driver standing wave tube acoustic impedance matching with robust repetitive control
IEEE Transactions on Control Systems and Technology, 2004Co-Authors: Yaoyu Li, George T C Chiu, Luc MongeauAbstract:In some acoustic applications, it may be desirable to make a shorter standing wave tube operate like a longer tube at the same driving frequency. The basic idea is to reduce the length of a long tube, and replace the removed section with a secondary driver. The problem is then to match the acoustic impedance at the boundary where the secondary driver is installed to that of the original system. Two control formulations were investigated for this problem: a two-input-two-output (TITO) and a single-input-single-output (SISO) formulation. The TITO formulation directly tracks the two acoustic variables associated with the desired acoustic impedance, while the SISO formulation minimizes the impedance matching error. The desired impedance containing a very lightly damped mode is embedded in the augmented plant for feedback control design. In addition to the balance realization Method, the Schur Method was used for model reduction for the high-order plant. Since the standing wave tubes are driven by tonal signals, repetitive control was incorporated into the control frameworks to achieve the desired performance. Good performance of impedance matching was obtained for both formulations. The SISO formulation yielded slightly wider bandwidth of good impedance matching than the TITO. The TITO formulation offered additional control to individual signals related to the acoustic impedance of interest.
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dual driver standing wave tube acoustic impedance matching with robust repetitive control
American Control Conference, 2002Co-Authors: Yaoyu Li, George T C Chiu, Luc MongeauAbstract:In many applications of acoustic standing wave tubes, for instance thermoacoustic heat pumping systems, it is desirable to make a shorter tube operate like a longer standing wave tube at the same driving frequency. The basic idea here is to reduce the physical length of the tube, and replace the removed section with a secondary driver. The problem is then to match the acoustic impedance at the boundary where the secondary driver is installed to that of the original system. A two-input-two-output (TITO) formulation directly tracks the two acoustic variables related to the impedance, while a SISO formulation minimizes the impedance matching error. The desired impedance containing a very lightly damped mode is embedded in the augmented plant for feedback control design. In addition to the balance realization Method, the Schur Method was used in model reduction for the high-order non-minimum phase plants. Since the standing wave tubes are driven by tonal signals, repetitive control was incorporated into the control frameworks to achieve the desired performance. Good impedance matching performance was obtained for both formulations. The formulations are compared.
C. Kenney - One of the best experts on this subject based on the ideXlab platform.
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Scaling of the discrete-time algebraic Riccati equation to enhance stability of the Schur solution Method
IEEE Transactions on Automatic Control, 1992Co-Authors: T. Gudmundsson, C. KenneyAbstract:A simple scaling procedure for discrete-time Riccati equations is introduced. This procedure eliminates instabilities which can be associated with the linear equation solution step of the generalized Schur Method without changing the condition of the underlying problem. A computable bound for the relative error of the solution of the Riccati equation is also derived. >
George T C Chiu - One of the best experts on this subject based on the ideXlab platform.
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dual driver standing wave tube acoustic impedance matching with robust repetitive control
IEEE Transactions on Control Systems and Technology, 2004Co-Authors: Yaoyu Li, George T C Chiu, Luc MongeauAbstract:In some acoustic applications, it may be desirable to make a shorter standing wave tube operate like a longer tube at the same driving frequency. The basic idea is to reduce the length of a long tube, and replace the removed section with a secondary driver. The problem is then to match the acoustic impedance at the boundary where the secondary driver is installed to that of the original system. Two control formulations were investigated for this problem: a two-input-two-output (TITO) and a single-input-single-output (SISO) formulation. The TITO formulation directly tracks the two acoustic variables associated with the desired acoustic impedance, while the SISO formulation minimizes the impedance matching error. The desired impedance containing a very lightly damped mode is embedded in the augmented plant for feedback control design. In addition to the balance realization Method, the Schur Method was used for model reduction for the high-order plant. Since the standing wave tubes are driven by tonal signals, repetitive control was incorporated into the control frameworks to achieve the desired performance. Good performance of impedance matching was obtained for both formulations. The SISO formulation yielded slightly wider bandwidth of good impedance matching than the TITO. The TITO formulation offered additional control to individual signals related to the acoustic impedance of interest.
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dual driver standing wave tube acoustic impedance matching with robust repetitive control
American Control Conference, 2002Co-Authors: Yaoyu Li, George T C Chiu, Luc MongeauAbstract:In many applications of acoustic standing wave tubes, for instance thermoacoustic heat pumping systems, it is desirable to make a shorter tube operate like a longer standing wave tube at the same driving frequency. The basic idea here is to reduce the physical length of the tube, and replace the removed section with a secondary driver. The problem is then to match the acoustic impedance at the boundary where the secondary driver is installed to that of the original system. A two-input-two-output (TITO) formulation directly tracks the two acoustic variables related to the impedance, while a SISO formulation minimizes the impedance matching error. The desired impedance containing a very lightly damped mode is embedded in the augmented plant for feedback control design. In addition to the balance realization Method, the Schur Method was used in model reduction for the high-order non-minimum phase plants. Since the standing wave tubes are driven by tonal signals, repetitive control was incorporated into the control frameworks to achieve the desired performance. Good impedance matching performance was obtained for both formulations. The formulations are compared.