The model of an n-machine power system, considered to have uniform damping and transfer conductances, is decomposed into n−1 free subsystems interacting with one another. Stability analysis and stability regions are e...
The model of an n-machine power system, considered to have uniform damping and transfer conductances, is decomposed into n−1 free subsystems interacting with one another. Stability analysis and stability regions are estimated by means of a vector Lyapunov function. The Lyapunov functions of the free subsystems and the corresponding aggregate matrix are formed by a special method so that maximum stability regions may be obtained both for the free subsystems and for the overall system.
This paper is concerned with a control of linear multivariable systems with multiple delays in controls and outputs. An observer which can estimate a linear function of the state of the system is proposed for the purp...
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This paper is concerned with a control of linear multivariable systems with multiple delays in controls and outputs. An observer which can estimate a linear function of the state of the system is proposed for the purpose of implementing a feedback control law. The relation between the observer and the Smith predictor is also discussed.
In this paper the singular optimal control problem of linear discrete-time system with fixed end points and free final time is investigated. Expression for the optimal control is obtained by changing the problem to a ...
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In this paper the singular optimal control problem of linear discrete-time system with fixed end points and free final time is investigated. Expression for the optimal control is obtained by changing the problem to a minimum norm problem with linear constraints and applying some appropriate theorems. Existence, uniqueness, and optimality are proven. Iterative relationships to compute the main matrix in the optimal control expression are given. In order to simplify and reduce the computations a significant suboptimal control is described. It is shown that the suboptimal control aproaches the system to the final desired state each time of its application, moreover, it is gauranteed to reach the final state in finite steps.
This paper is concerned with disturbance rejection of multivariable Smith predictor control for multiple-delay systems. The Smith predictor control method can convert the delay control problem to the delay-free one, a...
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This paper is concerned with disturbance rejection of multivariable Smith predictor control for multiple-delay systems. The Smith predictor control method can convert the delay control problem to the delay-free one, and yield desired responses to the reference inputs. However, if the process is subject to unmeasurable disturbances, the error decay can not be made as fast as desired. Particularly, if the process has poles near the origin in the complex plane, the output responses may be sluggish enough to be unacceptable. A new method which can yield zero steady state error and desired transient responses to the disturbances is proposed.
This paper studies a measurement, evaluation, and controlsystem of communication-and-formation process of concept (especially morality concept) in education. The system is illustrated as a block diagram and is studie...
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This paper studies a measurement, evaluation, and controlsystem of communication-and-formation process of concept (especially morality concept) in education. The system is illustrated as a block diagram and is studied from a viewpoint of multiinput-multioutput, interactive and fuzzy type feedback controlsystem, where we can correspond class pupils to a controlled object, and teacher's final concept structure and core-sentence structure to a desired output and an operating input (controlling input), respectively. We have investigated the model relations between concept structures and core-sentence structures, which greatly helped the teacher to design both a lesson plan outline and its following “lesson plan" for the classwork, and also to practice the classwork itself. A computer program for test data processing is developed to offer a detailed and better feedback information for the teacher in a few minutes.
In this article, we first present some foundational results about the stability and positive stabilization of continuous-time positive systems. Necessary and sufficient conditions for achieving stability are provided,...
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In this article, we first present some foundational results about the stability and positive stabilization of continuous-time positive systems. Necessary and sufficient conditions for achieving stability are provided, together with some desired performance in terms of disturbance attenuation. These conditions are expressed in terms of linear programming and scale well with the system size. We then discuss the interconnection of positive subsystems by means of a static output feedback that preserves positivity, and propose conditions to achieve both stability and the asymptotic alignment of the closed-loop output to a desired vector. Finally, we describe some results for a class of parameterized positive systems. The second part of the article presents some interesting applications of the results presented in the first part. Specifically, control problems for heating networks, formation control, power control in wireless communication, and the evolutionary dynamics of cancer and HIV are formalized and solved as optimal control problems for positive systems.
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