Economic tradeoffs associated with a multilayer control strategy for a class of static systems

Donoghue, John F.; Lefkowitz, I.

doi:10.1109/tac.1972.1099879

Cited by 19 publications

(5 citation statements)

References 2 publications

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“…It is not relevant, in principle, whether the recomputations are done routinely at constant time intervals, or on demand, that is, whenever a significant change in exogenous variables or parameters is observed. Some discussion of this problem can be found in Donoghue and Lefkowitz (1972) and Tsuji and Lefkowitz (1975).…”

Section: Decomposed Optimization In On-line Controlmentioning

confidence: 99%

Control and Coordination in Hierarchical Systems

Beaumont¹,

Findeisen²,

Bailey³

et al. 1981

The Journal of the Operational Research Society

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Section: Decomposed Optimization In On-line Controlmentioning

confidence: 99%

Control and Coordination in Hierarchical Systems

Beaumont¹,

Findeisen²,

Bailey³

et al. 1981

The Journal of the Operational Research Society

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“…As an example, f i may be the result, of a maximization operation on some perfonmance index with respect to the indicated subset of m (see [1], [2]). …”

Section: Fig~1mentioning

confidence: 99%

On the determination of an on-demand policy for a multilayer control system

Tsuji

Lefkowitz

1975

IEEE Trans. Automat. Contr.

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The cost-performance tradeoff problem associated with a multilayer control system for controlling a class of static.nonlinear. multivariable systems is considered. The multilayer control system has a , number of layers of control functions each of which updates different subsets of the manipulated variables at different costs.A favorable cost-performance tradeoff is achieved by determining at each control decision time which subset of the control variables is to~e updated. In this paper, we present a mathematical rrodel which describes the operation of the multilayer control system. Also we show that the problem of determining a. decision rule (policy) which results in an optimal cost-performance tradeoff can be formulated as a problem in Markovian Decision Processes. Consequently, an optimal policy can be identified by solving a linear program.In order to reduce the computational effort required for identifying the optimal policy, a class of parameterized policies is introduced based on~measure of deviation of the disturbance. This approach provides a designer with a practical method of determining a control policy which achieves a favorable cost-performance tradeoff.An example is given for demonstrating a possible application to process control.-1 -

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“…(b) frequency characteristics of the disturbances instigating control action; (c) cost/benefit trade-off between the cost of carrying out a control action versus the performance degradation of the plant resulting from not exercising control (16,17).…”

Section: Temporal Multilayer Hierarchymentioning

confidence: 99%

“…where we assume1:i> T .. Prediction algorithms (18) may be in- 6) Control action~ay be carried out according to a periodic policy (16) i.e. every T. units of time action F. is perl 1 formed; or an on-demand policy (17) whereby F i is actuated by a contingency occurence or by the observation of the disturbance exceeding the bounds of the predicted range.…”

Section: -mentioning

confidence: 99%

Systems Control of Chemical and Related Process Systems

Lefkowitz¹

1975

IFAC Proceedings Volumes

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Economic tradeoffs associated with a multilayer control strategy for a class of static systems

Cited by 19 publications

References 2 publications

Control and Coordination in Hierarchical Systems

Control and Coordination in Hierarchical Systems

On the determination of an on-demand policy for a multilayer control system

Systems Control of Chemical and Related Process Systems

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