{"id":324,"date":"2016-07-19T08:55:45","date_gmt":"2016-07-19T11:55:45","guid":{"rendered":"http:\/\/apcmode.com\/?page_id=324"},"modified":"2020-07-04T15:47:16","modified_gmt":"2020-07-04T18:47:16","slug":"classificacao-de-sistemas","status":"publish","type":"page","link":"https:\/\/apcmode.com\/?page_id=324","title":{"rendered":"Classifica\u00e7\u00e3o de sistemas"},"content":{"rendered":"<table style=\"width: 100%;\" border=\"1\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td><a href=\"https:\/\/apcmode.com\/?page_id=322\">Retorna para t\u00f3pico anterior<\/a><\/td>\n<td>Conte\u00fado deste t\u00f3pico<br \/>\n&#8211; <a href=\"#monovariavel\">Sistema Monovari\u00e1vel<\/a><br \/>\n&#8211; <a href=\"#multivariavel\">Sistema Multivari\u00e1vel<\/a><br \/>\n&#8211; <a href=\"#continuo\">Sistema Cont\u00ednuo<\/a><br \/>\n&#8211; <a href=\"#discreto\">Sistema Discreto<\/a><br \/>\n&#8211; <a href=\"#quantizado\">Sistema Quantizado<\/a><br \/>\n&#8211; <a href=\"#digital\">Sistema Digital<\/a><br \/>\n&#8211; <a href=\"#linear\">Sistema Linear<\/a><br \/>\n&#8211; <a href=\"#naolinear\">Sistema N\u00e3o-linear<\/a><br \/>\n&#8211; <a href=\"#estatico\">Sistema Est\u00e1tico<\/a><br \/>\n&#8211; <a href=\"#dinamico\">Sistema Din\u00e2mico<\/a><br \/>\n&#8211; <a href=\"#estavel\">Sistema Est\u00e1vel<\/a><br \/>\n&#8211; <a href=\"#instavel\">Sistema Inst\u00e1vel<\/a><\/td>\n<td><a href=\"https:\/\/apcmode.com\/?page_id=326\">Avan\u00e7a para pr\u00f3ximo t\u00f3pico<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Algumas classifica\u00e7\u00f5es que podem ser atribu\u00eddas a um sistema s\u00e3o:<\/p>\n<h3><span style=\"color: #993300;\">a) Quanto ao n\u00famero de vari\u00e1veis<\/span><\/h3>\n<p><strong><span id=\"monovariavel\" style=\"color: #0000ff;\">Monovari\u00e1vel<\/span><\/strong>: Sistema de vari\u00e1vel \u00fanica, ou sistema de uma s\u00f3 entrada e uma s\u00f3 sa\u00edda. Sigla em ingl\u00eas: SISO (Single Input Single Output). Exemplos de estruturas SISO s\u00e3o os controladores PID e as Fun\u00e7\u00f5es de Transfer\u00eancia.<\/p>\n<p><strong><span id=\"multivariavel\" style=\"color: #0000ff;\">Multivari\u00e1vel<\/span><\/strong>: Sistema com m\u00faltiplas entradas e\/ou m\u00faltiplas sa\u00eddas.&nbsp;Sigla em ingl\u00eas: MIMO.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-453\" src=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22a.png\" alt=\"fig22a\" width=\"812\" height=\"149\" srcset=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22a.png 812w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22a-300x55.png 300w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22a-768x141.png 768w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22a-100x18.png 100w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22a-150x28.png 150w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22a-200x37.png 200w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22a-450x83.png 450w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22a-600x110.png 600w\" sizes=\"auto, (max-width: 812px) 100vw, 812px\" \/><\/p>\n<hr>\n<h3><span style=\"color: #993300;\">b) Segundo o intervalo de valores poss\u00edveis para magnitude e tempo<\/span><\/h3>\n<p><span id=\"continuo\" style=\"color: #0000ff;\"><strong>Cont\u00ednuos<\/strong><\/span>: Quando&nbsp;as entradas e sa\u00eddas s\u00e3o capazes de mudar em qualquer instante de tempo. \u201cSistema a sinal cont\u00ednuo no tempo, sistema cont\u00ednuo no tempo\u201d.<\/p>\n<p><strong><span id=\"discreto\" style=\"color: #0000ff;\">Discretos<\/span><\/strong>: Quando os sinais s\u00e3o representados&nbsp;somente em instantes discretos de tempo, digamos, a cada segundo, ou hora, ou ano, ou talvez, irregularmente.<\/p>\n<p><strong><span id=\"quantizado\" style=\"color: #0000ff;\">Quantizados<\/span><\/strong>: S\u00e3o aqueles onde as vari\u00e1veis podem assumir somente um n\u00famero cont\u00e1vel de valores (n\u00edveis), mas as trocas de um n\u00edvel pra outro n\u00edvel podem ocorrer em qualquer instante.<\/p>\n<p><strong><span id=\"digital\" style=\"color: #0000ff;\">Digitais<\/span><\/strong>: S\u00e3o sistemas ao mesmo tempo discretos no tempo e quantizados.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-454\" src=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b.png\" alt=\"fig22b\" width=\"928\" height=\"227\" srcset=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b.png 928w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b-300x73.png 300w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b-768x188.png 768w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b-100x24.png 100w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b-150x37.png 150w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b-200x49.png 200w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b-450x110.png 450w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b-600x147.png 600w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22b-900x220.png 900w\" sizes=\"auto, (max-width: 928px) 100vw, 928px\" \/><\/p>\n<hr>\n<h3><span style=\"color: #993300;\">c) Quanto ao tipo de modelo<\/span><\/h3>\n<p><strong><span id=\"linear\" style=\"color: #0000ff;\">Linear<\/span><\/strong>: um sistema linear \u00e9 aquele que atende ao princ\u00edpio da superposi\u00e7\u00e3o de efeitos. A resposta de um sistema para diferentes entradas (produzido pelo mesmo sinal em instantes de tempo diferentes ou produzido por sinais distintos no caso MIMO) pode ser deduzida como o somat\u00f3rio dos efeitos de cada uma das entradas individuais. Este resultado tamb\u00e9m \u00e9&nbsp;v\u00e1lido para sistemas din\u00e2micos se observado em regime permanente.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-456\" src=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22c.png\" alt=\"fig22c\" width=\"789\" height=\"525\" srcset=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22c.png 789w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22c-300x200.png 300w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22c-768x511.png 768w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22c-100x67.png 100w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22c-150x100.png 150w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22c-200x133.png 200w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22c-450x299.png 450w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22c-600x399.png 600w\" sizes=\"auto, (max-width: 789px) 100vw, 789px\" \/><\/p>\n<p><strong><span id=\"naolinear\" style=\"color: #0000ff;\">N\u00e3o-Linear<\/span><\/strong>:&nbsp;um sistema n\u00e3o-linear \u00e9 aquele que n\u00e3o atende ao princ\u00edpio da sobreposi\u00e7\u00e3o de efeitos.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-457\" src=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22d.png\" alt=\"fig22d\" width=\"795\" height=\"563\" srcset=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22d.png 795w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22d-300x212.png 300w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22d-768x544.png 768w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22d-100x71.png 100w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22d-150x106.png 150w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22d-200x142.png 200w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22d-450x319.png 450w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22d-600x425.png 600w\" sizes=\"auto, (max-width: 795px) 100vw, 795px\" \/><\/p>\n<p><strong><span id=\"estatico\" style=\"color: #0000ff;\">Est\u00e1tico<\/span><\/strong>:&nbsp; Se a sa\u00edda (resposta) em qualquer instante t ou (tk) depende apenas do valor da entrada (excita\u00e7\u00e3o) no mesmo instante. Os modelos usam equa\u00e7\u00f5es alg\u00e9bricas.<\/p>\n<p><strong><span id=\"dinamico\" style=\"color: #0000ff;\">Din\u00e2mico<\/span><\/strong>: Se a sa\u00edda em qualquer instante depende de valores presentes, assim como de valores passados da entrada ou da pr\u00f3pria sa\u00edda. Os modelos usam equa\u00e7\u00f5es diferenciais. Veja exemplo abaixo.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-458\" src=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e.png\" alt=\"fig22e\" width=\"953\" height=\"499\" srcset=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e.png 953w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e-300x157.png 300w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e-768x402.png 768w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e-100x52.png 100w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e-150x79.png 150w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e-200x105.png 200w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e-450x236.png 450w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e-600x314.png 600w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22e-900x471.png 900w\" sizes=\"auto, (max-width: 953px) 100vw, 953px\" \/><\/p>\n<hr>\n<h3><span style=\"color: #993300;\">d) Quanto \u00e0 estabilidade<\/span><\/h3>\n<p><strong><span id=\"estavel\" style=\"color: #0000ff;\">Est\u00e1vel<\/span><\/strong>: &nbsp;Um sistema est\u00e1vel \u00e9 aquele que quando submetido a um sinal de entrada de amplitude limitada, produz um sinal de sa\u00edda tamb\u00e9m de amplitude limitada. Sigla em ingl\u00eas BIBO <em>Bounded-Input-Bounded-Output<\/em>. Tamb\u00e9m podemos dizer que um sistema est\u00e1vel \u00e9 aquele que, ao ser submetido a uma entrada do tipo impulso,&nbsp;produz uma resposta que tende a retornar ao valor original.<\/p>\n<p><strong><span id=\"instavel\" style=\"color: #0000ff;\">Inst\u00e1vel<\/span><\/strong>:&nbsp;Um sistema inst\u00e1vel \u00e9 aquele que quando submetido a um sinal de entrada de amplitude limitada (ou mesmo um impulso), produz um sinal de sa\u00edda de amplitude ilimitada.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-512\" src=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22f.png\" alt=\"fig22f\" width=\"671\" height=\"325\" srcset=\"https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22f.png 671w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22f-300x145.png 300w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22f-100x48.png 100w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22f-150x73.png 150w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22f-200x97.png 200w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22f-450x218.png 450w, https:\/\/apcmode.com\/wp-content\/uploads\/2016\/07\/fig22f-600x291.png 600w\" sizes=\"auto, (max-width: 671px) 100vw, 671px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Retorna para t\u00f3pico anterior Conte\u00fado deste t\u00f3pico &#8211; Sistema Monovari\u00e1vel &#8211; Sistema Multivari\u00e1vel &#8211; Sistema Cont\u00ednuo &#8211; Sistema Discreto &#8211; Sistema Quantizado &#8211; Sistema Digital &#8211; Sistema Linear &#8211; Sistema N\u00e3o-linear &#8211; Sistema Est\u00e1tico &#8211; Sistema Din\u00e2mico &#8211; Sistema Est\u00e1vel &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/apcmode.com\/?page_id=324\"> <span class=\"screen-reader-text\">Classifica\u00e7\u00e3o de sistemas<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":320,"menu_order":22,"comment_status":"closed","ping_status":"closed","template":"full-width-page.php","meta":{"footnotes":""},"class_list":["post-324","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/apcmode.com\/index.php?rest_route=\/wp\/v2\/pages\/324","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/apcmode.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/apcmode.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/apcmode.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/apcmode.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=324"}],"version-history":[{"count":3,"href":"https:\/\/apcmode.com\/index.php?rest_route=\/wp\/v2\/pages\/324\/revisions"}],"predecessor-version":[{"id":1208,"href":"https:\/\/apcmode.com\/index.php?rest_route=\/wp\/v2\/pages\/324\/revisions\/1208"}],"up":[{"embeddable":true,"href":"https:\/\/apcmode.com\/index.php?rest_route=\/wp\/v2\/pages\/320"}],"wp:attachment":[{"href":"https:\/\/apcmode.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=324"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}