### Abstract

For the optimal control of a nonlinear distributed-parameter system (DPS) with an index containing partial differential operators in the spatial variables, deriving a costate system equation and the associated boundary and final conditions in component notations is very tedious and complicated. Matrix methods, which provide structural and operational convenience, are introduced into the derivations. A costate system equation for the final state of a DPS and that consists of partial differential operators up to the fourth order and a cost index with first-order partial differential operator is given in a compact matrix form. The use of the methods is demonstrated for two problems in optimal control.

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

Pages (from-to) | 2331-2332 |

Number of pages | 2 |

Journal | Proceedings of the American Control Conference |

Volume | 88 pt 1-3 |

Publication status | Published - 1 Dec 1988 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*Proceedings of the American Control Conference*,

*88 pt 1-3*, 2331-2332.

**Applying matrix methods to optimal control of distributed parameter systems.** / Huang, Garng Morton; Tang, T. S.

Research output: Contribution to journal › Conference article

*Proceedings of the American Control Conference*, vol. 88 pt 1-3, pp. 2331-2332.

}

TY - JOUR

T1 - Applying matrix methods to optimal control of distributed parameter systems.

AU - Huang, Garng Morton

AU - Tang, T. S.

PY - 1988/12/1

Y1 - 1988/12/1

N2 - For the optimal control of a nonlinear distributed-parameter system (DPS) with an index containing partial differential operators in the spatial variables, deriving a costate system equation and the associated boundary and final conditions in component notations is very tedious and complicated. Matrix methods, which provide structural and operational convenience, are introduced into the derivations. A costate system equation for the final state of a DPS and that consists of partial differential operators up to the fourth order and a cost index with first-order partial differential operator is given in a compact matrix form. The use of the methods is demonstrated for two problems in optimal control.

AB - For the optimal control of a nonlinear distributed-parameter system (DPS) with an index containing partial differential operators in the spatial variables, deriving a costate system equation and the associated boundary and final conditions in component notations is very tedious and complicated. Matrix methods, which provide structural and operational convenience, are introduced into the derivations. A costate system equation for the final state of a DPS and that consists of partial differential operators up to the fourth order and a cost index with first-order partial differential operator is given in a compact matrix form. The use of the methods is demonstrated for two problems in optimal control.

UR - http://www.scopus.com/inward/record.url?scp=0024140463&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024140463&partnerID=8YFLogxK

M3 - Conference article

VL - 88 pt 1-3

SP - 2331

EP - 2332

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

ER -