### Abstract

Differential dynamic programming (DDP) is applied to solve the estuarine management problem to determine the optimal amount of freshwater inflows into bays and estuaries in order to maximize fishery harvests. The optimization problem is posed as a discrete-time optimal control problem in which salinity represents the state variable and freshwater inflow represents the control variable. The hydrodynamic-salinity transport model HYD-SAL is used as the transition equation. The bound constraints for the control and state variables are incorporated into the objective function using the penalty function method to convert the problem into an unconstrained problem. The Successive Approximation Linear Quadratic Regulator (SALQR) is adopted to solve the computational complexity of the derivatives of the transition equation. The adaptive shift procedure is used to guarantee quadratic convergence of the DDP procedure. To consider the sensitivity of initial solutions, the step search technique of the unconstrained DDP is modified. Computational results indicate that the modified DDP method converges fast and initial values attempted converged to a unique optimal solution. The modified DDP procedure is applied to the Lavaca-Tres Palacios estuary in Texas.

Original language | English (US) |
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Title of host publication | Proceedings of the 21st Annual Conference on Water Policy and |

Place of Publication | New York, NY, United States |

Publisher | Publ by ASCE |

Pages | 653-656 |

Number of pages | 4 |

ISBN (Print) | 0784400202 |

State | Published - 1994 |

Event | Proceedings of the 21st Annual Conference on Water Policy and Management: Solving the Problems - Denver, CO, USA Duration: May 23 1994 → May 26 1994 |

### Other

Other | Proceedings of the 21st Annual Conference on Water Policy and Management: Solving the Problems |
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City | Denver, CO, USA |

Period | 5/23/94 → 5/26/94 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings of the 21st Annual Conference on Water Policy and*(pp. 653-656). New York, NY, United States: Publ by ASCE.

**Differential dynamic programming for estuarine management.** / Li, Guihua; Mays, Larry.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 21st Annual Conference on Water Policy and.*Publ by ASCE, New York, NY, United States, pp. 653-656, Proceedings of the 21st Annual Conference on Water Policy and Management: Solving the Problems, Denver, CO, USA, 5/23/94.

}

TY - GEN

T1 - Differential dynamic programming for estuarine management

AU - Li, Guihua

AU - Mays, Larry

PY - 1994

Y1 - 1994

N2 - Differential dynamic programming (DDP) is applied to solve the estuarine management problem to determine the optimal amount of freshwater inflows into bays and estuaries in order to maximize fishery harvests. The optimization problem is posed as a discrete-time optimal control problem in which salinity represents the state variable and freshwater inflow represents the control variable. The hydrodynamic-salinity transport model HYD-SAL is used as the transition equation. The bound constraints for the control and state variables are incorporated into the objective function using the penalty function method to convert the problem into an unconstrained problem. The Successive Approximation Linear Quadratic Regulator (SALQR) is adopted to solve the computational complexity of the derivatives of the transition equation. The adaptive shift procedure is used to guarantee quadratic convergence of the DDP procedure. To consider the sensitivity of initial solutions, the step search technique of the unconstrained DDP is modified. Computational results indicate that the modified DDP method converges fast and initial values attempted converged to a unique optimal solution. The modified DDP procedure is applied to the Lavaca-Tres Palacios estuary in Texas.

AB - Differential dynamic programming (DDP) is applied to solve the estuarine management problem to determine the optimal amount of freshwater inflows into bays and estuaries in order to maximize fishery harvests. The optimization problem is posed as a discrete-time optimal control problem in which salinity represents the state variable and freshwater inflow represents the control variable. The hydrodynamic-salinity transport model HYD-SAL is used as the transition equation. The bound constraints for the control and state variables are incorporated into the objective function using the penalty function method to convert the problem into an unconstrained problem. The Successive Approximation Linear Quadratic Regulator (SALQR) is adopted to solve the computational complexity of the derivatives of the transition equation. The adaptive shift procedure is used to guarantee quadratic convergence of the DDP procedure. To consider the sensitivity of initial solutions, the step search technique of the unconstrained DDP is modified. Computational results indicate that the modified DDP method converges fast and initial values attempted converged to a unique optimal solution. The modified DDP procedure is applied to the Lavaca-Tres Palacios estuary in Texas.

UR - http://www.scopus.com/inward/record.url?scp=0028131083&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028131083&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0784400202

SP - 653

EP - 656

BT - Proceedings of the 21st Annual Conference on Water Policy and

PB - Publ by ASCE

CY - New York, NY, United States

ER -