{"id":1664,"date":"2025-12-21T08:02:17","date_gmt":"2025-12-21T07:02:17","guid":{"rendered":"https:\/\/control-advent.com\/?p=1664"},"modified":"2025-12-21T08:02:19","modified_gmt":"2025-12-21T07:02:19","slug":"21-wie-muss-der-countdown-bis-weihnachten-repariert-werden","status":"publish","type":"post","link":"https:\/\/control-advent.com\/?p=1664&lang=de","title":{"rendered":"21 &#8211; Wie muss der Countdown bis Weihnachten repariert werden?"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Nur noch\u00a0<strong>4 Tage<\/strong>, und ein digitaler Weihnachts-Countdown wurde von einer Wichtelin sehr sorgf\u00e4ltig entworfen. Beginnend mit heute erzeugt er digital die Folge<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">x<sub>1<\/sub>x<sub>2<\/sub> = 11\u2005\u200a\u2192\u2005\u200a10\u2005\u200a\u2192\u2005\u200a01\u2005\u200a\u2192\u2005\u200a00<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">mit einer Abtastzeit von\u00a0<strong>24 Stunden<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ausgehend von ihrem Wissen \u00fcber\u00a0<strong>zeitdiskrete Zustandsraummodelle<\/strong>\u00a0aus der Regelungstechnik implementierte sie die Uhr als<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">x<sub>1<\/sub>(k+1) = f<sub>1<\/sub>(x<sub>1<\/sub>(k),x<sub>2<\/sub>(k)),<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">x<sub>2<\/sub>(k+1)= f<sub>2<\/sub>(x<sub>1<\/sub>(k),x<sub>2<\/sub>(k)).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Mit Hilfe von etwas KI wird die Uhr am Ende\u00a0<em>\u201eHurra hurra, es ist Weihnachten\u201c<\/em>\u00a0rufen \ud83c\udf84.<br>Der Osterhase vom 2. Dezember ist jedoch sehr ver\u00e4rgert \u00fcber die ganze Aufmerksamkeit, die der Weihnachtsmann in diesen Tagen bekommt \u2013 und au\u00dferdem frustriert wegen der Delle in seinem Ferrari. Deshalb (und ohne wirklichen Grund) hat er die Parameter-Konfigurationsdatei dieser Uhr gestohlen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Da die Wichtelin zwar wei\u00df, wie man sie wiederherstellt, aber im Moment wichtigere Aufgaben hat, k\u00f6nntest du bitte helfen und entscheiden,\u00a0<strong>welche Funktionen zu w\u00e4hlen sind<\/strong>?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a. \ud83c\udf84\ud83d\udd22\ud83e\udde0 f<sub>1<\/sub> = 1\u2212x<sub>2<\/sub>, f<sub>2<\/sub> = x<sub>1<\/sub>\u22c5x<sub>2<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b. \ud83e\udd16\ud83c\udf85\ud83d\udcd0 f<sub>1<\/sub> = x<sub>1<\/sub>\u22c5x<sub>2<\/sub>, f<sub>2<\/sub> = 1\u2212x<sub>2<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c. \ud83d\udd01\ud83d\udcca\u2728 f<sub>1<\/sub> = x<sub>2<\/sub>, f<sub>2<\/sub> = x<sub>1<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d. \ud83c\udf81\ud83d\udd04\u2744\ufe0f f<sub>1<\/sub> = 1\u2212x<sub>1<\/sub>, f<sub>2<\/sub> = 1\u2212x<sub>2<\/sub><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e. \ud83d\udcc9\ud83d\udeab\ud83d\udcd8 Die Optionen a.\u2013d. sind keine g\u00fcltigen Zustandsraummodelle, da es keine Systemmatrix\u00a0A\u00a0gibt.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">f. \ud83e\udddd\u200d\u2640\ufe0f\ud83d\udcbb\ud83d\udcaa Ich \u00fcbernehme die Arbeit f\u00fcr die Wichtelin, damit sie die Konfiguration reparieren kann \ud83d\ude09<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Hinweis:<\/strong><br>Es ist klar, dass wir heute mit x<sub>1<\/sub>(0) = 1, x<sub>2<\/sub>(0) = 1 starten.<\/p>\n\n\n<div class=\"yop-poll-container\" data-yop-poll-id=\"58\"><script type=\"application\/json\" 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Beginnend mit heute erzeugt er digital die Folge x1x2 = 11\u2005\u200a\u2192\u2005\u200a10\u2005\u200a\u2192\u2005\u200a01\u2005\u200a\u2192\u2005\u200a00 mit einer Abtastzeit von\u00a024 Stunden. Ausgehend von ihrem Wissen \u00fcber\u00a0zeitdiskrete Zustandsraummodelle\u00a0aus der Regelungstechnik implementierte sie &hellip; <span class=\"more-link\"><a href=\"https:\/\/control-advent.com\/?p=1664&#038;lang=de\" class=\"readmore\">Continue reading<span class=\"screen-reader-text\">21 &#8211; Wie muss der Countdown bis Weihnachten repariert werden?<\/span><\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":1661,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[107],"class_list":["post-1664","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-deutsch","tag-107"],"_links":{"self":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1664","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1664"}],"version-history":[{"count":3,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1664\/revisions"}],"predecessor-version":[{"id":1667,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1664\/revisions\/1667"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/media\/1661"}],"wp:attachment":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1664"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1664"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1664"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}