Feedback Time-Optimum Process Controllers

Latour, P. R.; Koppel, L. B.; Coughanowr, D. R.

doi:10.1021/i260027a005

Cited by 17 publications

(11 citation statements)

References 5 publications

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“…several synthesis methods are reported in Latour et al (1968), Thomasson and Cook (1970), Fuller (1968), and Kim and Bien (1981 a), but these results are not directly extendible to handle more complex time-delay systems. For example, if the plant is described by a more general form r x(t) = Ax(t) + L Biu(t -hi) i=O where hi' i=O, 1, ... , r, are constant time-delays with (2) ( 3) then only open-loop control methods are reported in the literature (e.g., see Banks et al (1971) for the case r= 1).…”

Section: Introductionmentioning

confidence: 99%

Time-suboptimal feedback control of systems with multiple delays in control

Kim

Bien

1981

International Journal of Control

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An on-line computer control method is suggested for a time-suboptimal feedback control of systems with multiple delays in the control variables. The met-hod, which is developed for bounded control inputs, is given in the form of an efficient algorithm. Tho scheme is essentially based on solving the minimum-time problem using the linear programming method iteratively under real-time computing constraints. A numerical example is given to demonstrate the efficiency of the proposed control algorithm.

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Section: Introductionmentioning

confidence: 99%

Time-suboptimal feedback control of systems with multiple delays in control

Kim

Bien

1981

International Journal of Control

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“…Koppel and Latour (1965) have shown that for a second-order lag plus dead time process model, the equations can be solved analytically and the multi-point, boundary-value problem can be avoided. Latour et al (1968) and Douglas and Denn (1965) describe feedback time-optimal controllers which use a completely predetermined unsteady state model of the system. Javinsky and Kadlec (1970) compared the timeoptimal control of an experimental laboratory sized reactor with the time-optimal control of an analog computer simulation of the reactor.…”

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confidence: 99%

A simple algorithm for the time‐optimal control of chemical processes

1974

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A simple algorithm for the time‐optimal control of chemical processes during setpoint changes, in processes which can be described by a second‐order lag plus dead time model, is described. Knowledge of the unsteady state model parameters is not required because the algorithm uses a dimensionless phase plane on which the switching curves are independent of system parameters for a given forcing function. The algorithm gives the parameters of a second‐order lag plus dead time model as a by product of the setpoint change. It is easily tuned and is relatively insensitive to changes in the process dynamics. The algorithm does not require a large computer or long computing times and has been implemented on both analog and digital computers in controlling computer simulated systems.

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“…The results of their study showed that Javinsky and Kadlec were successful in applying the maximum principle to the time optimal control of their reactor. Latour and Koppel (1965), Latour (1966), and Latour et al (1967Latour et al ( , 1968 have given results on the time optimal control of second-order dead time processes. Experimental results were given for a water-heating process with two stirred tanks.…”

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confidence: 99%

Time Optimal and Ziegler-Nichols Control. Experimental and Theoretical Results

McAvoy¹

1972

Ind. Eng. Chem. Proc. Des. Dev.

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Experimental and theoretical results for time optimal control of pH in a controlled stirred tank reactor (CSTR) are presented. Reasonable agreement between theory and experiment is achieved. Discrepancies are the result of the exceptionally fast response of pH. A comparison of proportional plus derivative control and time optimal control shows that the former gives results which are near optimal. A three-mode controller is poor for comparison purposes because the integral control always causes trouble. Some results for a second-order dead time process are given to show that a proportional plus derivative controller can be close to time optimal for this case also.

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Feedback Time-Optimum Process Controllers

Cited by 17 publications

References 5 publications

Time-suboptimal feedback control of systems with multiple delays in control

Time-suboptimal feedback control of systems with multiple delays in control

A simple algorithm for the time‐optimal control of chemical processes

Time Optimal and Ziegler-Nichols Control. Experimental and Theoretical Results

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