Estimation of Sampling Period for Stochastic Nonlinear Sampled-Data Systems With Emulated Controllers

2017 ◽  
Vol 62 (9) ◽  
pp. 4713-4718 ◽  
Author(s):  
Yong-Feng Gao ◽  
Xi-Ming Sun ◽  
Changyun Wen ◽  
Wei Wang
Keyword(s):  
Sampling Period ◽  
Data Systems ◽  
Sampled Data

Minimum Time Control of Second Order Pulse-Width-Modulated Sampled-Data Systems

1962 ◽  
Vol 84 (1) ◽  
pp. 101-109 ◽  
Author(s):  
E. Polak
Keyword(s):  
Pulse Width ◽  
Phase Plane ◽  
Sampling Period ◽  
Second Order ◽  
Data Systems ◽  
Sampled Data ◽  
Relay System ◽  
Pulse Width Modulated ◽  
Minimal Time ◽  
Time Control

This paper treats the minimal time control problem for two second order pulse-width-modulated sampled-data systems, one with a double integrator type plant and one with a plant described by an integral and a time constant. Such plants are encountered in systems with hydraulic components. It is shown rigorously that for minimal time control the phase plane can be divided into two regions: a striplike region around the optimal switching trajectory for a continuous relay system with the same plants, in which the pulse width must be adjusted for optimal action; and the rest of the phase plane in which an optimal p.w.m. system of the type described behaves like a continuous optimal relay system, the pulse duration being equal to the sampling period. A brief description of an electromechanical computer capable of implementing minimal time control for these systems is also given.

Sampled-Data Systems, Revisited: Reflections, Recollections, and Reassessments

1980 ◽  
Vol 102 (4) ◽  
pp. 208-217 ◽  
Author(s):  
E. I. Jury
Keyword(s):  
Digital Signal ◽  
Sampling Period ◽  
Data Systems ◽  
Sampled Data ◽  
Recent Emergence ◽  
New Development ◽  
Technological Developments ◽  
Discrete Interval ◽  
Discrete Theory ◽  
The Impact

A review of the progress made in sampled-data systems during the last thirty years is presented in this paper. In particular the impact of the discrete theory on the continuous counterpart is mentioned. Additionally, the limiting process of discrete system theory when the discrete interval (or the sampling period) goes to zero, is discussed. Recent emergence of digital signal processing and digital filters as an aftermath of sampled-data systems is brought into focus as well as the technological developments which aided in this new development. The paper concludes with a critical view of the past achievements in this field as well as indications of possible future developments.

Asymptotic Properties of Zeros of Sampled-Data Systems for Continuous-Time Plants With Nondecouplability

2013 ◽  
Author(s):  
Mitsuaki Ishitobi ◽  
Sadaaki Kunimatsu
Keyword(s):  
Fractional Order ◽  
Continuous Time ◽  
Asymptotic Properties ◽  
Sampling Period ◽  
Approximate Expression ◽  
Zero Order ◽  
Data Systems ◽  
Sampled Data ◽  
Static State ◽  
Power Series Expansions

When a continuous-time linear system is discretized using a hold, stability of poles are preserved. However, the transformations of zeros are much more complicated and the number of the zeros increases in some cases in the discretization process. This paper is concerned with the zeros of a sampled-data model resulting from a continuous-time multivariable system which is not decouplable by static state feedback and has all of the relative degrees one. Two cases of a zero-order hold and a fractional-order hold are treated. An approximate expression of the zeros is given as power series expansions with respect to a sampling period in the zero-order hold case. Further, the limiting zeros are analyzed in the fractional-order hold case. Then, the advantage of the fractional-order hold to the zero-order hold is discussed from the viewpoint of stability of the zeros.

scholarly journals Sensitivity of Sampled Data Systems to Sampling Period

1973 ◽  
Vol 6 (2) ◽  
pp. 114-116
Author(s):  
R.K. Varshney ◽  
William R. Perkins
Keyword(s):  
Sampling Period ◽  
Data Systems ◽  
Sampled Data

scholarly journals Stabilization of Linear Sampled-Data Systems by a Time-Delay Feedback Control

2008 ◽  
Vol 2008 ◽  
pp. 1-15 ◽  
Author(s):  
F. Ricardo García ◽  
Baltazar Aguirre ◽  
Rodolfo Suárez
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Sufficient Conditions ◽  
Sampling Period ◽  
Fixed Time ◽  
Feedback Gain ◽  
Data Systems ◽  
Sampled Data ◽  
Sampled Signal ◽  
Time Invariant

We consider one-dimensional, time-invariant sampled-data linear systems with constant feedback gain, an arbitrary fixed time delay, which is a multiple of the sampling period and a zero-order hold for reconstructing the sampled signal of the system in the feedback control. We obtain sufficient conditions on the coefficients of the characteristic polynomial associated with the system. We get these conditions by finding both lower and upper bounds on the coefficients. These conditions let us give both an estimation of the maximum value of the sampling period and an interval on the controller gain that guarantees the stabilization of the system.

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