Design and Algorithmic Implementation of a Part Loading Regulator for a Manufacturing Cell

1995 ◽  
Vol 117 (2) ◽  
pp. 169-176
Author(s):  
A. Saleh ◽  
N. G. Odrey ◽  
G. R. Wilson
Keyword(s):  
Steady State ◽  
Transient State ◽  
Planning Horizon ◽  
Cost Functions ◽  
Control Architecture ◽  
Manufacturing Cell ◽  
Steady State Operation ◽  
Control Methodology ◽  
Regulatory Properties ◽  
Theoretical Developments

The focus of this paper is to present a control methodology for the regulation of loading and processing of parts in a manufacturing cell in the presence of minor disturbances. The control methodology addresses three states in the planning horizon of a manufacturing cell: steady state, transient state, and a match-up state when the system is transitioning from transient to steady state operation. The part loading regulation of the cell is accomplished via optimization of appropriate cost functions associated with each state. The proposed control architecture for the cell part regulator utilizes these cost functions to enforce the desired regulatory properties. Theoretical developments and detailed examples can be found in Saleh et al., 1990; Saleh, 1988.

Discrimination of Steady State and Transient State of Extremum Seeking Control via Sinusoidal Detection

2013 ◽  
Author(s):  
Baojie Mu ◽  
Yaoyu Li ◽  
John E. Seem
Keyword(s):  
Steady State ◽  
Control Process ◽  
Transient State ◽  
Design Guidelines ◽  
Extremum Seeking ◽  
Detection Scheme ◽  
Extremum Seeking Control ◽  
Detection Techniques ◽  
Steady State Operation ◽  
Selection Of

A major class of extremum seeking control is based on the use of periodic dither perturbation of plant input for extracting the gradient information. Presence of the dither input into the steady state operation is undesirable in practice due to the possible excessive wear of actuators. It is thus beneficial to stop the dithering action after the extremum seeking process reaches its steady state. In this paper, we propose a method for automatically discriminate between the steady state and the transient state modes of extremum seeking control process using the sinusoidal detection techniques. Some design guidelines are proposed for the parameter selection of the relevant sinusoidal detection scheme. The proposed scheme is validated with simulation study.

scholarly journals Multi-Machine Repairable System with One Unreliable Server and Variable Repair Rate

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1299
Author(s):  
Shengli Lv
Keyword(s):  
Steady State ◽  
Transient State ◽  
Repairable System ◽  
Repair Rate ◽  
Numerical Illustration ◽  
Transform Method ◽  
Unreliable Server ◽  
Busy Time ◽  
The Mean ◽  
Mean Time

This paper analyzed the multi-machine repairable system with one unreliable server and one repairman. The machines may break at any time. One server oversees servicing the machine breakdown. The server may fail at any time with different failure rates in idle time and busy time. One repairman is responsible for repairing the server failure; the repair rate is variable to adapt to whether the machines are all functioning normally or not. All the time distributions are exponential. Using the quasi-birth-death(QBD) process theory, the steady-state availability of the machines, the steady-state availability of the server, and other steady-state indices of the system are given. The transient-state indices of the system, including the reliability of the machines and the reliability of the server, are obtained by solving the transient-state probabilistic differential equations. The Laplace–Stieltjes transform method is used to ascertain the mean time to the first breakdown of the system and the mean time to the first failure of the server. The case analysis and numerical illustration are presented to visualize the effects of the system parameters on various performance indices.

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