Optimal control of friction coefficient in Signorini contact problems
The optimal control of friction coefficient in Signorini contact problem is handled. First, we give the Tikhonov regularized optimal control problem subject to quasivariational inequality of the second kind. Since the relation control‐state is weak, we introduce another penalized control problem bas...
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| Published in | Optimal control applications & methods Vol. 42; no. 6; pp. 1794 - 1811 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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01.11.2021
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| ISSN | 0143-2087 1099-1514 |
| DOI | 10.1002/oca.2765 |
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| Abstract | The optimal control of friction coefficient in Signorini contact problem is handled. First, we give the Tikhonov regularized optimal control problem subject to quasivariational inequality of the second kind. Since the relation control‐state is weak, we introduce another penalized control problem based algorithm of Bensoussan–Lions type applied to the quasi‐variational inequality. In order to get the optimality condition, and since the cost function is not differentiable, the quasi‐variational inequality is regularized to be a variational equality. |
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| AbstractList | The optimal control of friction coefficient in Signorini contact problem is handled. First, we give the Tikhonov regularized optimal control problem subject to quasivariational inequality of the second kind. Since the relation control‐state is weak, we introduce another penalized control problem based algorithm of Bensoussan–Lions type applied to the quasi‐variational inequality. In order to get the optimality condition, and since the cost function is not differentiable, the quasi‐variational inequality is regularized to be a variational equality. |
| Author | Essoufi, El‐Hassan Zafrar, Abderrahim |
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| SubjectTerms | Algorithms Coefficient of friction contact Cost function friction Inequality Optimal control Optimization unilateral problems variational inequalities |
| Title | Optimal control of friction coefficient in Signorini contact problems |
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