### Abstract

A hierarchical structure for on-line steady-state optimizing control of interconnected systems is discussed which utilizes the available mathematical model more efficiently than in previous techniques, in spite of large model-reality differences. The structure is of an iterative type and uses both the mathematical model of the system and the system output measurements. The structure produces a control which satisfies necessary optimality conditions, provided that the system mathematical model is point-parametric. Several iterative strategies for finding a solution are presented. Detailed convergence analysis is presented, and simulation results are illustrated, in three numerical examples.

Original language | English |
---|---|

Pages (from-to) | 199-233 |

Number of pages | 35 |

Journal | IMA Journal of Mathematical Control and Information |

Volume | 7 |

Issue number | 3 |

Publication status | Published - 1990 |

### Fingerprint

### ASJC Scopus subject areas

- Safety, Risk, Reliability and Quality
- Mathematics (miscellaneous)
- Control and Optimization
- Molecular Biology
- Statistics and Probability
- Computational Mathematics
- Development
- Control and Systems Engineering
- Applied Mathematics

### Cite this

*IMA Journal of Mathematical Control and Information*,

*7*(3), 199-233.

**Hierarchical adaptive techniques for optimizing control of large-scale steady-state systems. Optimality, iterative strategies and their convergence.** / Brdys, M. A.; Abdullah, Normah; Roberts, P. D.

Research output: Contribution to journal › Article

*IMA Journal of Mathematical Control and Information*, vol. 7, no. 3, pp. 199-233.

}

TY - JOUR

T1 - Hierarchical adaptive techniques for optimizing control of large-scale steady-state systems. Optimality, iterative strategies and their convergence

AU - Brdys, M. A.

AU - Abdullah, Normah

AU - Roberts, P. D.

PY - 1990

Y1 - 1990

N2 - A hierarchical structure for on-line steady-state optimizing control of interconnected systems is discussed which utilizes the available mathematical model more efficiently than in previous techniques, in spite of large model-reality differences. The structure is of an iterative type and uses both the mathematical model of the system and the system output measurements. The structure produces a control which satisfies necessary optimality conditions, provided that the system mathematical model is point-parametric. Several iterative strategies for finding a solution are presented. Detailed convergence analysis is presented, and simulation results are illustrated, in three numerical examples.

AB - A hierarchical structure for on-line steady-state optimizing control of interconnected systems is discussed which utilizes the available mathematical model more efficiently than in previous techniques, in spite of large model-reality differences. The structure is of an iterative type and uses both the mathematical model of the system and the system output measurements. The structure produces a control which satisfies necessary optimality conditions, provided that the system mathematical model is point-parametric. Several iterative strategies for finding a solution are presented. Detailed convergence analysis is presented, and simulation results are illustrated, in three numerical examples.

UR - http://www.scopus.com/inward/record.url?scp=0025533636&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025533636&partnerID=8YFLogxK

M3 - Article

VL - 7

SP - 199

EP - 233

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

SN - 0265-0754

IS - 3

ER -