A General Solution for Linear, Sampled-Data Control

1963 ◽  
Vol 85 (2) ◽  
pp. 197-201 ◽  
Author(s):  
T. L. Gunckel ◽  
Gene F. Franklin
Keyword(s):  
Design Procedure ◽  
Quadratic Function ◽  
Random Parameter ◽  
Linear Feedback ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
Iterative Equations ◽  
Almost All ◽  
Parameter Problem

If system performance can be adequately measured by a quadratic function of the error, it is possible to present a single optimum design procedure that encompasses almost all linear, sampled-data control problems of interest. This development includes both random and deterministic inputs, the random parameter problem, and a general time-varying system. The results are in the form of iterative equations which specify the optimum linear feedback coefficients. The method constitutes a generalization of the work by Kalman, Koepcke, Bellman, and others, and presumes the availability of a digital computer to solve the final equations.

Modelling a controlled water system as a sampled data system with events

2020 ◽  
Author(s):  
Alla Kolechkina ◽  
Ronald van Nooijen
Keyword(s):  
Hierarchical Control ◽  
Water System ◽  
Complex Problem ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
Event Driven ◽  
The Individual ◽  
Pump Stations ◽  
Almost All

<div> <div> <div> <div>Automatic control of water systems such as canals for shipping, irrigation systems, drainage systems, or sewer systems, is a complex problem. While the system state is continuously changing, in almost all cases the weir, gates, or pumps are adjusted only at set times. This mixes continuous and discrete time. Moreover, it may be necessary to take action in response to the occurrence of an event in the system. So, part of the system evolves continuously, another part changes stepwise at given times, while yet another part responds to events in the system or its surroundings that may occur at arbitrary times.</div> <div>Basic limitations on controlling these systems when ignoring their hybrid nature are demonstrated for the case of a Dutch sewer system. The control schemes under discussion are: local event driven control for a group of pump stations, sampled data control for a group of pump stations, hierarchical control with sampled data control for the group, and event driven control for the individual stations.</div> </div> </div> </div>

Exponential stability of impulsive systems with random delays under sampled-data control

2017 ◽  
Vol 11 (16) ◽  
pp. 2834-2847 ◽  
Author(s):  
Kuppusamy Subramanian ◽  
Palanisamy Muthukumar ◽  
Quanxin Zhu
Keyword(s):  
Exponential Stability ◽  
Sampled Data ◽  
Impulsive Systems ◽  
Random Delays ◽  
Data Control ◽  
Sampled Data Control
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