scholarly journals A Method of Minimal-Time Control to a Quantized Linear Discrete System with Rational Coefficients.

1999 ◽  
Vol 42 (2) ◽  
pp. 323-327 ◽  
Author(s):  
Tsunehiro MUNAKATA ◽  
SAMSAK Kahar
Keyword(s):  
Discrete System ◽  
Minimal Time ◽  
Time Control ◽  
Linear Discrete System

A minimal time discrete system

1961 ◽  
Vol 6 (2) ◽  
pp. 111-125 ◽  
Author(s):  
C. Desoer ◽  
J. Wing
Keyword(s):  
Discrete System ◽  
Minimal Time

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.

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