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Sadek, Ibrahim S.

Optimal pointwise control of flexible structures. (English) Zbl 0791.49027

Math. Comput. Modelling 17, No. 9, 89-99 (1993).
Summary: A class of optimal control problems for self-adjoint distributed- parameter systems is considered. An approach is proposed to damp the undesirable vibrations in the structure actively by means of pointwise controllers (actuators). Necessary conditions of optimality are derived as a set of independent integral equations which lead to explicit expressions for the pointwise controllers. A numerical example is presented to demonstrate the effectiveness of the method.

Cited in 4 Documents

MSC:

49K20 Optimality conditions for problems involving partial differential equations
74H45 Vibrations in dynamical problems in solid mechanics
93C20 Control/observation systems governed by partial differential equations

Keywords:

necessary conditions of optimality; optimal control; self-adjoint distributed-parameter systems; pointwise controllers
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References:

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