{"id":569,"date":"2021-09-02T18:56:05","date_gmt":"2021-09-02T18:56:05","guid":{"rendered":"https:\/\/itgeeks.in\/home\/?p=569"},"modified":"2021-09-02T18:56:06","modified_gmt":"2021-09-02T18:56:06","slug":"2k6-ee-703-control-systems-ii","status":"publish","type":"post","link":"https:\/\/itgeeks.in\/home\/?p=569","title":{"rendered":"2K6 EE 703 : CONTROL SYSTEMS II"},"content":{"rendered":"\n<p><strong>Module I (14hours)<\/strong><br>State-space analysis of systems \u2013 Concept of state-state space and state variables-advantages over transfer function approach-state equations for typical electrical, mechanical and electromechanical systemsrepresentation for linear time-varying and time-invariant systems- Phase variable and canonical formsdiagonalization- transfer function and state equations-matrix exponential- solution by state transition matrixtransfer function decomposition-Discrete-time state models-solution of discrete-time state equation-z transform decomposition.<br><strong>Module II (10hours)<\/strong><br>Design using conventional methods &#8211; Cascade compensation &#8211; PI, PD and PID control &#8211; lead and lag compensation using RC networks &#8211; design of lead, lag and lead-lag compensators using frequency response and root locus methods.<br><strong>Module III (12 hours)<\/strong><br>Non-linear systems &#8211; characteristics of non-linear systems &#8211; types of nonlinearities -phase plane analysis &#8211; construction \u2013isocline method and delta method- singular points &#8211; classification of singular points. Describing function analysis &#8211; definition &#8211; describing functions of common non-linearities \u2013ideal relay,dead zone, saturation, combined dead zone and saturation-relay with hysteresis- stability analysis using DF &#8211; amplitude and frequency of limit cycle using DF.<br><strong>Module IV (16 hours)<\/strong><br>Liapunov methods \u2013 Sign definiteness of a function, Sylvester\u2019s criteria-stability in the sense of Liapunov &#8211; definition of stability, asymptotic stability and instability \u2013Liapunov\u2019s second method &#8211; Liapunov stability analysis of LTIV continuous time and discrete time systems. Controllability, observability and introduction to optimal control &#8211; concept and criteria for controllability and observability &#8211; state feed back &#8211; design via pole placement &#8211; formulation of the optimal control problem &#8211; performance measure &#8211; optimal control using second method of Liapunov &#8211; the quadratic regulator problem &#8211; solution of the reduced matrix Riccati equation<\/p>\n\n\n\n<p>Reference books<br>1.<a href=\"https:\/\/itgeeks.in\/home\/?p=570\">Ogata K., Modern Control Engineering, Prentice Hall<\/a><br>2.<a href=\"https:\/\/itgeeks.in\/home\/?p=572\">Nagarath &amp; Gopal, Control System Engineering, Wiley Eastern<\/a><br>3.<a href=\"https:\/\/itgeeks.in\/home\/?p=574\">Kuo B.C., Automatic Control Systems, Prentice Hall<\/a><br>4.<a href=\"https:\/\/itgeeks.in\/home\/?p=576\">Ogata K., Discrete-Time Control Systems, Prentice Hall<\/a><br>5.<a href=\"https:\/\/itgeeks.in\/home\/?p=578\">Donald E. Kirk, Optimal Control Theory, Prentice Hall<\/a><\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/itgeeks.in\/home\/?p=202\">Question Papers<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Module I (14hours)State-space analysis of systems \u2013 Concept of state-state space and state variables-advantages over transfer function approach-state equations for<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,22,9,8],"tags":[7],"class_list":["post-569","post","type-post","status-publish","format-standard","hentry","category-ku-s7-eee","category-ku-syb-s7","category-ku-syllabus","category-syllabus","tag-kannur-university"],"_links":{"self":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/569","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=569"}],"version-history":[{"count":1,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/569\/revisions"}],"predecessor-version":[{"id":580,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/569\/revisions\/580"}],"wp:attachment":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=569"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=569"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=569"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}