The Experts below are selected from a list of 114 Experts worldwide ranked by ideXlab platform
Hou Ling - One of the best experts on this subject based on the ideXlab platform.
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On the Characteristic Estimation for Solutions to the Perturbed Discrete Matrix Lyapunov Equations
Journal of Harbin University of Science and Technology, 2006Co-Authors: Hou LingAbstract:The problems of characteristic estimation for the solution to the perturbed discrete Matrix Lyapunov Equations are studied.The estimation of smallest and maximum eigenvalues and trace of the solution to the perturbed discrete Matrix Lyapunov Equation are given by applying the properties of Matrix eigenvalues and trace and Matrix inequality,respectively.Combining the structure assumption of perturbed Matrix,the upper and lower bounds of characteristic estimation of the solution to the Equation are obtained under four uncertainty assumptions.
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On the estimation of solutions to perturbed discrete Matrix Lvapunov Equations
Control theory & applications, 2006Co-Authors: Hou LingAbstract:The estimation of the solution to the perturbed discrete Matrix Lyapunov Equation is studied. The existence condition and upper and lower bounds estimation of the solution to the Equation under the structured uncertainty assumption are presented by applying the operational property of Matrix and Lyapunov stability theory, the estimation is then determined by a linear Matrix inequality (LMI) and two Matrix algebra Riccati Equations. The concrete form of Matrix algebra Riccati Equations are also given for some uncertainty assumptions. Finally, the effectiveness of above results is shown by an example.
R.m. Elbanna - One of the best experts on this subject based on the ideXlab platform.
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Qualitative analysis and decentralized controller synthesis for a class of large-scale systems with symmetrically interconnected subsystems
Automatica, 1991Co-Authors: Malur K. Sundareshan, R.m. ElbannaAbstract:Abstract A number of large-scale interconnected systems often encountered in practice are composed of subsystems with similar dynamics interconnected in a symmetrical fashion and the synthesis of controllers for such systems must exploit the special structural properties in order to avoid overly conservative designs and to take advantage of the possible beneficial effects of the interconnections. An analysis of some important qualitative properties of such symmetrically interconnected systems focussing on the spectrum characterization, controllability and observability, and the solutions of the algebraic Riccati Equation and the Matrix Lyapunov Equation is conducted in this paper and procedures for constructing the solutions to the analysis problems at the overall system level from the computationally simple subsystem level solutons are developed. A decentralized controller design procedure is presented as an illustration of the utilization of the available structural information in addressing synthesis problems. Numerical examples are included to demonstrate the superiority of the presented designs over the use of existing approaches which do not take full advantage of the structural knowledge in these large-scale systems.
M. De La Sen - One of the best experts on this subject based on the ideXlab platform.
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stability and the Matrix Lyapunov Equation for differential systems with point distributed and or mixed point distributed delays
Informatica (lithuanian Academy of Sciences), 1994Co-Authors: M. De La SenAbstract:This paper establishes sufficient conditions for stability of linear and time-invariant delay differential systems including their various usual sub classes (i.e., point, distributed and mixed point-distributed delay systems). Suffi cient conditions for stability are obtained in terms of the Schur's complement of operators and the frequency domain Lyapunov Equation. The basic idea in the analysis consists in the use of modified Laplace operators which split the ch~ac teristic Equation into two separate multiplicative factors whose roots characterize the system stability. The method allows a simple derivation of stabilizing control laws.
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Stability and the Matrix Lyapunov Equation for differential systems with point, distributed and/or mixed point-distributed delays
Informatica (lithuanian Academy of Sciences), 1994Co-Authors: M. De La SenAbstract:This paper establishes sufficient conditions for stability of linear and time-invariant delay differential systems including their various usual sub classes (i.e., point, distributed and mixed point-distributed delay systems). Suffi cient conditions for stability are obtained in terms of the Schur's complement of operators and the frequency domain Lyapunov Equation. The basic idea in the analysis consists in the use of modified Laplace operators which split the ch~ac teristic Equation into two separate multiplicative factors whose roots characterize the system stability. The method allows a simple derivation of stabilizing control laws.
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Stability and the Matrix Lyapunov Equation for differential systems with delays
[1992] Proceedings of the 31st IEEE Conference on Decision and Control, 1Co-Authors: M. De La SenAbstract:The author establishes sufficient conditions for the stability of linear and time-variant delay differential systems including their various usual subclasses (i.e., point, distributed, and mixed point-distributed delay systems). Sufficient conditions for stability are obtained in terms of the Schur complement of operators and the frequency-domain Lyapunov Equation. >
Ali M. Yousef - One of the best experts on this subject based on the ideXlab platform.
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RETRACTED: Optimal Pole Shifting Technique Design Based on Single Area Load Frequency Controller
Journal of Power and Energy Engineering, 2016Co-Authors: Abdulrahman Alrebdi, Ali M. YousefAbstract:This paper presents the robust optimal shifting of eigenvalues control design and application for load frequency control. The optimal pole-shifting control is simple and applicable. Also, the proposed optimal pole-shifting is fast and robust than any other controller. A method for shifting the real parts of the open-loop poles to any desired positions while preserving the imaginary parts is constant. In each step of this approach, it is required to solve a first-order or a second-order linear Matrix Lyapunov Equation for shifting one real pole or two complex conjugate poles respectively. This presented method yields a solution, which is optimal with respect to a quadratic performance index. Load-frequency control (LFC) of a single and two area power systems are evaluated. The objective is to minimize transient deviation in frequency and tie-line power control and to achieve zero steady-state errors in these quantities. The attractive feature of this method is that it enables solutions to complex problem to be easily found without solving any non-linear algebraic Riccati Equation. The gain Matrix is calculated one time only and it works over wide range of operating conditions. To validate the powerful of the proposed optimal pole shifting control, a linearized model of a single area load frequency control is simulated.
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Optimal pole shifting controller for interconnected power system
Energy Conversion and Management, 2011Co-Authors: Ali M. Yousef, Ahmed M. KassemAbstract:Power system stabilizer based on optimal pole shifting is proposed. An approach for shifting the real parts of the open-loop poles to any desired positions while preserving the imaginary parts is presented. In each step of this approach, it is required to solve a first-order or a second-order linear Matrix Lyapunov Equation for shifting one real pole or two complex conjugate poles, respectively. This presented method yields a solution, which is optimal with respect to a quadratic performance index. The attractive feature of this method is that it enables solutions of the complex problem to be easily found without solving any non-linear algebraic Riccati Equation. The present power system stabilizer is based on Riccati Equation approach. The control law depends on finding the feedback gain Matrix, and then the control signal is synthesized by multiplying the state variables of the power system with determined gain Matrix. The gain Matrix is calculated one time only, and it works over wide range of operating conditions. To validate the power of the proposed PSS, a linearized model of a simple power system consisted of a single synchronous machine connected to infinite bus bar through transmission line is simulated. The studied power system is subjected to various operating points and power system parameters changes.
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Optimal pole shifting for power system stabilization
Electric Power Systems Research, 2003Co-Authors: M.k. El-sherbiny, M.m. Hasan, Gaber El-saady, Ali M. YousefAbstract:Abstract A method for shifting the real parts of the complex open-loop poles to any desired positions while preserving the imaginary parts is presented. In each step of this approach, it is required to solve a first-order or a second-order linear Matrix Lyapunov Equation for shifting one real pole or two complex poles, respectively. This presented method yields a solution, which is optimal with respect to a quadratic performance index. The attractive feature of this method is that it enables solutions to complex problem to be easily found without solving any non-linear algebraic Riccati Equation. The gain feedback is calculated one time only and it works over wide range of operating conditions. The digital computation results verify the effectiveness of the proposed PSS for less overshoot and less settling time compared with the open-loop techniques. Moreover, the damping and synchronizing torques of the synchronous machine with and without the proposed robust PSS are calculated.
Ahmed M. Kassem - One of the best experts on this subject based on the ideXlab platform.
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Optimal pole shifting controller for interconnected power system
Energy Conversion and Management, 2011Co-Authors: Ali M. Yousef, Ahmed M. KassemAbstract:Power system stabilizer based on optimal pole shifting is proposed. An approach for shifting the real parts of the open-loop poles to any desired positions while preserving the imaginary parts is presented. In each step of this approach, it is required to solve a first-order or a second-order linear Matrix Lyapunov Equation for shifting one real pole or two complex conjugate poles, respectively. This presented method yields a solution, which is optimal with respect to a quadratic performance index. The attractive feature of this method is that it enables solutions of the complex problem to be easily found without solving any non-linear algebraic Riccati Equation. The present power system stabilizer is based on Riccati Equation approach. The control law depends on finding the feedback gain Matrix, and then the control signal is synthesized by multiplying the state variables of the power system with determined gain Matrix. The gain Matrix is calculated one time only, and it works over wide range of operating conditions. To validate the power of the proposed PSS, a linearized model of a simple power system consisted of a single synchronous machine connected to infinite bus bar through transmission line is simulated. The studied power system is subjected to various operating points and power system parameters changes.