Proceedings of the Seminar on Rolling, Metal Forming and Products


ISSN 2594-5297

Title

MODELING AND SIMULATION OF SENDZIMIR MILL SHAPE CONTROL ACTUATION SENSITIVITIES AND CAPABILITIES ENVELOPE WITH APPLICATIONS TO MULTIVARIABLE SHAPE CONTROL

MODELING AND SIMULATION OF SENDZIMIR MILL SHAPE CONTROL ACTUATION SENSITIVITIES AND CAPABILITIES ENVELOPE WITH APPLICATIONS TO MULTIVARIABLE SHAPE CONTROL

DOI

10.5151/2594-5297-2006-14026-0095

Downloads

146 Downloads

Abstract

Intuitive decoupled notions of Sendzimir mill shape control actuator behavior do not properly depict the highly coupled, non-linear response characteristics. If applied to closed-loop shape controls, these improper notions lead to poor shape control performance and rapid infringement on actuator control limits. Accurate, fully coupled, non-linear internal models of the true actuator spatial sensitivity functions must be applied to multivariable shape controls for stable behavior to be realized. The mill’s shape control actuation capabilities envelope must be considered when assessing the mill’s ability to accommodate various classes of inbound shape distortions and stress distribution targets. This paper examines methods used to obtain accurate representations of the actual sensitivity functions and their mapping into the spatial context of the multivariable controls. First principle models and simulation studies are correlated with on-line shape control reactions to develop fully coupled control models that are directly applicable to singular value decomposition techniques. Real-world field studies of these modeling efforts are presented. The resulting models are embedded in singular value decomposition frameworks to create usable closed-loop controls.

 

Intuitive decoupled notions of Sendzimir mill shape control actuator behavior do not properly depict the highly coupled, non-linear response characteristics. If applied to closed-loop shape controls, these improper notions lead to poor shape control performance and rapid infringement on actuator control limits. Accurate, fully coupled, non-linear internal models of the true actuator spatial sensitivity functions must be applied to multivariable shape controls for stable behavior to be realized. The mill’s shape control actuation capabilities envelope must be considered when assessing the mill’s ability to accommodate various classes of inbound shape distortions and stress distribution targets. This paper examines methods used to obtain accurate representations of the actual sensitivity functions and their mapping into the spatial context of the multivariable controls. First principle models and simulation studies are correlated with on-line shape control reactions to develop fully coupled control models that are directly applicable to singular value decomposition techniques. Real-world field studies of these modeling efforts are presented. The resulting models are embedded in singular value decomposition frameworks to create usable closed-loop controls.

Keywords

Multivariable shape control

Multivariable shape control

How to refer

Zipf, Mark E.; Godwin, Craig K.; Wisti, David R.. MODELING AND SIMULATION OF SENDZIMIR MILL SHAPE CONTROL ACTUATION SENSITIVITIES AND CAPABILITIES ENVELOPE WITH APPLICATIONS TO MULTIVARIABLE SHAPE CONTROL , p. 856-866. In: 43º Seminário de Laminação, Processos e Produtos Laminados e Revestidos, Curitiba, PR, 2006.
ISSN: 2594-5297 , DOI 10.5151/2594-5297-2006-14026-0095

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in StreamHandler.php line 131
at HandleExceptions->handleError(8, 'fwrite(): write of 1826 bytes failed with errno=28 No space left on device', '/var/www/webroot/ROOT/vendor/monolog/monolog/src/Monolog/Handler/StreamHandler.php', 131, array('stream' => resource, 'record' => array('message' => 'file_put_contents(): write of 414 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-31 19:33:15] production.ERROR: file_put_contents(): write of 414 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 414 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'xuHGw7Be2goByYu...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} ')))
at fwrite(resource, '[2025-05-31 19:33:15] production.ERROR: file_put_contents(): write of 414 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 414 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'xuHGw7Be2goByYu...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} ')in StreamHandler.php line 131
at StreamHandler->streamWrite(resource, array('message' => 'file_put_contents(): write of 414 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-31 19:33:15] production.ERROR: file_put_contents(): write of 414 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 414 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'xuHGw7Be2goByYu...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} '))in StreamHandler.php line 117
at StreamHandler->write(array('message' => 'file_put_contents(): write of 414 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-31 19:33:15] production.ERROR: file_put_contents(): write of 414 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 414 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'xuHGw7Be2goByYu...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} '))in AbstractProcessingHandler.php line 39
at AbstractProcessingHandler->handle(array('message' => 'file_put_contents(): write of 414 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-31 19:33:15] production.ERROR: file_put_contents(): write of 414 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 414 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'xuHGw7Be2goByYu...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} '))in Logger.php line 344
at Logger->addRecord(400, 'file_put_contents(): write of 414 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Logger.php line 707
at Logger->error('file_put_contents(): write of 414 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Writer.php line 203
at Writer->writeLog('error', 'file_put_contents(): write of 414 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Writer.php line 114
at Writer->error('file_put_contents(): write of 414 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Handler.php line 113
at Handler->report(object(ErrorException))in Handler.php line 100
at Handler->report(object(ErrorException))in HandleExceptions.php line 81
at HandleExceptions->handleException(object(ErrorException))