Wathanyoo Khaisongkram

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In this paper, we present a novel approach to analyze the performance of linear dynamical systems in the presence of disturbances with bounds on their magnitudes and bounds on their rates of change. The performance considered is the maximum magnitude of the outputs of linear systems driven by such disturbances. First, the basic properties of this(More)
This paper compares two approaches to compute the worst-case norm of finite-dimensional convolution systems. All admissible inputs are defined to have bounded magnitude and limited rate of change. Due to physical and mathematical reasons, the inputs are also specified to start from zero. The first approach is based on continuous-time optimal control(More)
To regulate the output of a linear system subject to bounded persistent disturbance, the L<sub>1</sub>optimal controller is one of the available design techniques. In some situations, however, the rate of change may suitably describe the characteristic of the disturbance, in addition to the magnitude bound. The entire information results in the performance(More)
In this paper, we consider the cooperative driving of an automobile platoon in the longitudinal direction under the bidirectional information architecture, i.e., the cruise control makes use of the distances to the follower as well as to the predecessor. The framework of LTI systems with generalized frequency variables has been employed in the performance(More)
There have been several numerical methods to approximately compute the worst-case norm of finite-dimensional linear systems subject to inputs with magnitude bound and rate limit. Since the closed-form solution has not been obtained in general, it is difficult to decide which method gives the best numerical results. This paper presents explicit formulas for(More)
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