Parallel asynchronous algorithms for optimal control of large‐scale dynamic systems

Abdelwahed, Sherif; Hassan, Mohammad; Sultan, M. A.

doi:10.1002/(sici)1099-1514(199707/08)18:4<257::aid-oca600>3.3.co;2-h

Cited by 5 publications

(11 citation statements)

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“…(13), updating the value of the costate vector: 3 , ε 2 and ε 3 are small positive numbers, stop; otherwise, set l + 1 → l and repeat from Step 2.…”

Section: Problem Formulation and Solution Approachmentioning

confidence: 92%

“…Continuous linear systems interconnected costate prediction algorithm converges to a final solution [3]. Now we analyse the algorithm convergence of non-linear discretecontinuous hybrid systems interconnected costate prediction.…”

Section: Algorithm Convergence Analysismentioning

confidence: 98%

“…So, flow industry is a class of hybrid systems. Because many non-linear optimal control problems are intractable analyses, it is often necessary to resort to iterative methods based on simplified model-based techniques for their solution, ideally, it is desirable for any such iterative technique to converge to the correct solution to the original problem [3][4][5]. A hierarchical algorithm of integrated system optimization for a non-linear discrete dynamic largescale system is introduced [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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Costate prediction based optimal control for non-linear hybrid systems

Wang

Shao

2008

ISA Transactions

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“…(13), updating the value of the costate vector: 3 , ε 2 and ε 3 are small positive numbers, stop; otherwise, set l + 1 → l and repeat from Step 2.…”

Section: Problem Formulation and Solution Approachmentioning

confidence: 92%

Section: Algorithm Convergence Analysismentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Costate prediction based optimal control for non-linear hybrid systems

Wang

Shao

2008

ISA Transactions

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“…With a wide variety of applications, many research studies have been focused to investigate efficient parallel computing algorithms to solve OCPs. () In the work of Kunisch et al, a parallel Newton‐Krylov method was employed for the optimal control of monodomain model in cardiac electrophysiology. In the work of Tyatyushkin, a multimethod algorithm in terms of parallel iterative optimization processes was implemented for the OCPs.…”

Section: Introductionmentioning

confidence: 99%

Optimal control of nonlinear dynamical systems based on a new parallel eigenvalue decomposition approach

Jajarmi

Băleanu

2018

Optim Control Appl Methods

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Summary This manuscript aims to investigate a new approach based on the modal series method and eigenvalue decomposition technique to solve a class of nonlinear optimal control problems. For this purpose, a sequence of decoupled linear two‐point boundary value problems is solved iteratively instead of solving the coupled nonlinear two‐point boundary value problem derived from the maximum principle. The convergence analysis of the suggested technique is also investigated. In addition, the problem that needs to be solved at each iteration is composed of lower‐order decoupled subproblems; hence, they can be solved in parallel. Thus, the new scheme has a parallel computing property improving its computational effectiveness. Numerical simulations and comparative results show that the proposed approach is efficient and provides satisfactory results.

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“…The aim of this research is to reduce computation time by introducing asynchronous strategy to the present master-slave hybrid scheme. The proposed change has been well analyzed and proved to be fruitful in [9] and [20]. Both of them assure significant reduction of computation time in an asynchronous mode.…”

Section: Introductionmentioning

confidence: 99%

Asynchronous Strategy of Parallel Hybrid Approach of GA and EDA for Function Optimization

Said

Nakamura

2012

2012 Third International Conference on Networking and Computing

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This paper adapts parallel master-slave estimation of distribution and genetic algorithms (GAs and EDAs) hybridization. The master selects portions of the search space, and slaves perform, in parallel and independently, a GA that solves the problem on the assigned portion of the search space. The master's work is to progressively narrow the areas explored by the slave's GAs, using parallel dynamic K-means clustering to determine the basins of attraction of the search space. Coordination of activities between master and slaves is done in an asynchronous way (i.e. no waiting is entertained among the processes). The proposed asynchronous model has managed to reduce computation time while maintaining the quality of solutions.

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Parallel asynchronous algorithms for optimal control of large‐scale dynamic systems

Cited by 5 publications

References 0 publications

Costate prediction based optimal control for non-linear hybrid systems

Costate prediction based optimal control for non-linear hybrid systems

Optimal control of nonlinear dynamical systems based on a new parallel eigenvalue decomposition approach

Asynchronous Strategy of Parallel Hybrid Approach of GA and EDA for Function Optimization

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