{"id":584,"date":"2017-05-11T15:40:41","date_gmt":"2017-05-11T14:40:41","guid":{"rendered":"https:\/\/www.ciirc.cvut.cz\/?p=584"},"modified":"2017-10-24T15:07:12","modified_gmt":"2017-10-24T14:07:12","slug":"prof-kucera-vyresil-dlouho-otevreny-problem-teorie-linearnich-systemu-eliminaci-vnitrnich-vazeb","status":"publish","type":"post","link":"https:\/\/www.ciirc.cvut.cz\/cs\/prof-kucera-vyresil-dlouho-otevreny-problem-teorie-linearnich-systemu-eliminaci-vnitrnich-vazeb\/","title":{"rendered":"Prof. Ku\u010dera vy\u0159e\u0161il dlouho otev\u0159en\u00fd probl\u00e9m teorie line\u00e1rn\u00edch syst\u00e9m\u016f \u2013 eliminaci vnit\u0159n\u00edch vazeb"},"content":{"rendered":"

Profesor Vladim\u00edr Ku\u010dera vy\u0159e\u0161il dlouho otev\u0159en\u00fd probl\u00e9m teorie line\u00e1rn\u00edch syst\u00e9m\u016f<\/strong>\u00a0\u2013 eliminaci vnit\u0159n\u00edch vazeb v\u00a0syst\u00e9mu s\u00a0mnoha vstupy a v\u00fdstupy (zn\u00e1m\u00fd pod anglick\u00fdm n\u00e1zvem \u201edecoupling\u201c) pomoc\u00ed statick\u00e9 stavov\u00e9 zp\u011btn\u00e9 vazby. Prvn\u00ed zn\u00e1m\u00e1 studie tohoto probl\u00e9mu poch\u00e1z\u00ed z\u00a0roku 1934, stavov\u00e1 formulace probl\u00e9mu se objevila v\u00a0roce 1964 a \u0159e\u0161en\u00ed pro \u010dtvercov\u00e9 invertovateln\u00e9 syst\u00e9my n\u00e1sledovalo v\u00a0roce 1967. Obecn\u00fd p\u0159\u00edpad obd\u00e9ln\u00edkov\u00fdch syst\u00e9m\u016f invertovateln\u00fdch zprava v\u0161ak odolal v\u0161em pokus\u016fm o \u0159e\u0161en\u00ed.<\/p>\n

C\u00edlem eliminace je kompenzovat dan\u00fd syst\u00e9m tak, aby ka\u017ed\u00fd jeho v\u00fdstup mohl b\u00fdt nez\u00e1visle \u0159\u00edzen jemu odpov\u00eddaj\u00edc\u00edm vstupem. Takov\u00e1 vlastnost syst\u00e9mu je \u017e\u00e1douc\u00ed v\u00a0mnoha aplikac\u00edch, nebo\u0165 podstatn\u011b zjednodu\u0161uje dal\u0161\u00ed n\u00e1vrh syst\u00e9mu. Lze j\u00ed v\u017edy dos\u00e1hnout dynamickou kompenzac\u00ed, tedy zv\u00fd\u0161en\u00edm \u0159\u00e1du syst\u00e9mu. Ale statick\u00e1 stavov\u00e1 zp\u011btn\u00e1 vazba, kter\u00e1 \u0159\u00e1d syst\u00e9mu nezv\u00fd\u0161\u00ed, m\u00e1 k dispozici jen vnit\u0159n\u00ed dynamiku syst\u00e9mu.<\/p>\n

\"\"\u0158e\u0161en\u00ed t\u00e9to velmi slo\u017eit\u00e9 \u00falohy je poprv\u00e9 p\u0159edlo\u017eeno bez omezuj\u00edc\u00edch p\u0159edpoklad\u016f na syst\u00e9m a na hledanou stavovou zp\u011btnou vazbu. Existence \u0159e\u0161en\u00ed z\u00e1vis\u00ed na existenci t\u0159\u00ed seznam\u016f nez\u00e1porn\u00fdch \u010d\u00edsel, kter\u00e9 jsou podm\u00edn\u011bny v\u00fdhradn\u011b invarianty syst\u00e9mu v\u016f\u010di p\u0159\u00edpustn\u00fdm transformac\u00edm. Podm\u00ednky \u0159e\u0161itelnosti jsou nutn\u00e9 a posta\u010duj\u00edc\u00ed. D\u016fkaz nutnosti je existen\u010dn\u00ed, zat\u00edmco d\u016fkaz posta\u010ditelnosti je konstruktivn\u00ed a vede na algoritmus v\u00fdpo\u010dtu hledan\u00e9 stavov\u00e9 zp\u011btn\u00e9 vazby.<\/p>\n

V\u00fdsledek bude publikov\u00e1n jako \u010dl\u00e1nek v\u00a0prosincov\u00e9m \u010d\u00edsle 2017 presti\u017en\u00edho \u010dasopisu IEEE Transactions on Automatic Control.<\/p>\n","protected":false},"excerpt":{"rendered":"

Profesor Vladim\u00edr Ku\u010dera vy\u0159e\u0161il dlouho otev\u0159en\u00fd probl\u00e9m teorie line\u00e1rn\u00edch syst\u00e9m\u016f<\/strong>\u00a0\u2013 eliminaci vnit\u0159n\u00edch vazeb v\u00a0syst\u00e9mu s\u00a0mnoha vstupy a v\u00fdstupy (zn\u00e1m\u00fd pod anglick\u00fdm n\u00e1zvem \u201edecoupling\u201c) pomoc\u00ed static…<\/p>\n","protected":false},"author":8,"featured_media":586,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[22],"tags":[],"class_list":{"0":"post-584","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-news"},"acf":[],"_links":{"self":[{"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/posts\/584","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/comments?post=584"}],"version-history":[{"count":0,"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/posts\/584\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/media\/586"}],"wp:attachment":[{"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/media?parent=584"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/categories?post=584"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ciirc.cvut.cz\/wp-json\/wp\/v2\/tags?post=584"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}