Distributed control of a retarded hyperbolic system

Author

Kowalewski, A.

Author_Institution

Inst. of Automatics, Univ. of Min. & Metall., Cracow, Poland

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

837

Lastpage

842

Abstract

Various optimization problems associated with the optimal control of distributed parameter systems with retarded arguments appearing in the boundary conditions have been studied recently by [wang], [know], [wong], [kow88a], [kow88b], [kow93a], [kow93b], [kow98a], [kow98b], and [kowdud]. In this paper, we consider an optimal distributed control problem for a linear hyperbolic system in which retarded argument appears in the integral form in the Neumann boundary condition. The performance functional has the quadratic form. The time horizon is fixed. Finally, we impose some constraints on the distributed control. Necessary and sufficient conditions of optimality with the quadratic performance functional and constrained control are derived for the Neumann problem.

Keywords

distributed control; linear systems; optimal control; Neumann boundary condition; constrained control; linear hyperbolic system; necessary conditions; optimal distributed control problem; quadratic performance functional; retarded argument; retarded hyperbolic system; sufficient conditions; time horizon; Aerospace electronics; Boundary conditions; Decentralized control; Hilbert space; Integral equations; Optimal control; Optimization; distributed control; retarded hyperbolic system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7099410