% This file was created by matlab2tikz v0.3.3.
% Copyright (c) 2008--2013, Nico Schlmer <nico.schloemer@gmail.com>
% All rights reserved.
% 
% 
% 

% defining custom colors
\definecolor{mycolor1}{rgb}{0,0.75,0.75}
\definecolor{mycolor2}{rgb}{0.75,0,0.75}
\definecolor{mycolor3}{rgb}{0.75,0.75,0}

\begin{tikzpicture}

\begin{axis}[%
width=\figureheight,
height=\figurewidth,
unbounded coords=jump,
scale only axis,
xmin=0,
xmax=3,
xlabel={$M_s$},
ymin=0,
ymax=3,
ylabel={$M_t$},
title={Case 1},
legend style={draw=black,fill=white,legend cell align=left}
]
\addplot [
color=blue,
solid,
line width=1.0pt
]
table[row sep=crcr]{
1.24999999897551 0.999999997096948\\
1.27505302970104 0.999999999958711\\
1.3 1.00349861217037\\
1.32499999737082 1.01108408311947\\
1.3500030744703 1.02145548781639\\
1.37499667851498 1.02904992203555\\
1.39999627275669 1.02485944962809\\
1.42499999999912 1.0292392593228\\
1.45000012176844 1.02605593161153\\
1.47500000388471 1.02153464852687\\
1.50000002123475 1.02156619789086\\
1.5250185282741 1.01961497001375\\
1.55000894743874 1.01826450207975\\
1.57499928291903 1.01561269199317\\
1.60000419978707 1.01239628210863\\
1.62503603261561 1.00918738325741\\
1.64999999999417 1.00957552348666\\
1.6750000012065 1.00645908810423\\
1.70000399050382 1.00525889706597\\
1.72499997934765 1.00777616989466\\
1.74999999191612 1.00926453578974\\
1.77501392899666 1.00945246795806\\
1.79999999766085 1.01415496679991\\
1.82500036856782 1.01644959608353\\
1.85000043084841 1.02009041559179\\
1.87502784290988 1.02782032019623\\
1.90004399705857 1.03337746694907\\
1.92499950464661 1.03904033821942\\
1.95008928734628 1.04155157478497\\
1.97506082527121 1.04986804833511\\
2.00000275937414 1.07161778585865\\
2.02499999999642 1.09680481920269\\
2.05000138994825 1.12140219962971\\
2.07501827440277 1.14323832655153\\
2.10005976048999 1.16755741062663\\
2.12499999995524 1.19210332298889\\
2.15002230204268 1.20777692792702\\
2.17499999878802 1.23524349304954\\
2.20000499766347 1.2521798019786\\
2.22505202428054 1.2688336494726\\
2.24999999962171 1.30069681554406\\
2.275 1.32250885249794\\
2.29999981965901 1.34498588824174\\
2.32500000125735 1.36885038514207\\
2.35008929461203 1.38962699755319\\
2.37500890223807 1.41253748424973\\
2.39999982925115 1.43511923270974\\
2.42500448810935 1.46128751148936\\
2.44999988026076 1.4841646217553\\
2.47505351407703 1.50833897625807\\
2.50008877745299 1.533033744158\\
2.52503635541218 1.55548536486518\\
2.55000427942703 1.57860312451056\\
2.57502189734339 1.60349508753068\\
2.60002414250223 1.62608287136529\\
2.62503367535177 1.65126298205463\\
2.64999802656658 1.67757116763352\\
2.67500208160988 1.69950291316784\\
2.70003200215554 1.7249566809484\\
2.72499991014768 1.74851245809826\\
2.74999999977846 1.7726236480763\\
2.7749978298043 1.79800336037696\\
2.80001655119901 1.82427542138249\\
2.82503811235468 1.84424706364503\\
2.850045303607 1.87062735683645\\
2.87499956594595 1.89679705838628\\
2.89999987641927 1.91938090065317\\
2.925034093746 1.94415998172821\\
2.95001989653275 1.96863092971992\\
2.97499767152622 1.99271261890315\\
2.99999796742133 2.01695920311225\\
};
\addlegendentry{PO:PID:Chriss};

\addplot [
color=mycolor1,
solid,
line width=1.0pt
]
table[row sep=crcr]{
1.2499999999692 0.999999963879091\\
1.27500308540281 0.999999972208857\\
1.30000000000163 0.999999978276467\\
1.32500001543614 0.999999983087061\\
1.35000211953607 0.999999986802869\\
1.37499999999999 0.999999989697165\\
1.40000053703438 0.999999991846895\\
1.42500000000628 0.999999993460371\\
1.4500000001264 0.999999994781829\\
1.47500000002611 0.999999995791538\\
1.50000000031154 0.999999996518282\\
1.52500000004032 0.999999997088028\\
1.55000000052498 0.999999997492818\\
1.57506462136518 0.999999997706602\\
1.60000128538664 0.999999998122764\\
1.62500816763677 0.999999998347904\\
1.65008181923923 0.999999998518533\\
1.67500000001169 0.999999998781299\\
1.70001015902969 0.999999999034921\\
1.7250192397182 0.999999999230641\\
1.75001736178367 0.999999999367065\\
1.77507157107052 0.999999999633766\\
1.79999999999996 0.999999999714826\\
1.8250000000003 1.00771678268461\\
1.85000000000039 1.02309638443642\\
1.87500000069296 1.03993778128626\\
1.90000392681608 1.0579442390188\\
1.9250079592634 1.07690030929698\\
1.9500000375772 1.09450950525488\\
1.975 1.11584918145062\\
1.99999999996678 1.14000726369244\\
2.02500000319826 1.160611457683\\
2.04999999849946 1.18042109076842\\
2.07500000000435 1.20317098252731\\
2.10000000000082 1.22354240256622\\
2.12500000000543 1.24629862198141\\
2.14999999971975 1.269305816765\\
2.1750754842792 1.29117018010824\\
2.20000000000436 1.31395937770529\\
2.22499999999991 1.33926989846246\\
2.25000000024563 1.35815703127023\\
2.27507587585628 1.38384864697983\\
2.3 1.40062744465932\\
2.32506876323159 1.42797967995945\\
2.35001011586791 1.45084708936021\\
2.37500000025014 1.47303008284637\\
2.40000930880599 1.50069530116069\\
2.42501677483355 1.51834260773509\\
2.44999999998736 1.54111023335369\\
2.4749998576795 1.56445368733887\\
2.50000292956479 1.58804245953155\\
2.52503536344295 1.61065827583881\\
2.54999999904788 1.63307908167138\\
2.57494762412817 1.65700281751654\\
2.60009185575182 1.68056597304274\\
2.62500085938451 1.70459874835934\\
2.65001072785967 1.72868472965182\\
2.67499999997446 1.75223587585182\\
2.70000000000019 1.77602117022768\\
2.72500887592316 1.79972706080546\\
2.75000229447617 1.82359482200681\\
2.77499999999994 1.84752543296766\\
2.8000000000001 1.87173049641354\\
2.82500000001656 1.89531095132257\\
2.85005303240509 1.91895694325769\\
2.87499998402033 1.94304971039199\\
2.90004338459498 1.9687225593952\\
2.92499340072959 1.99169135074375\\
2.94999999811467 2.01538168759735\\
2.97500540071425 2.04002712771128\\
2.9999999999366 2.06330998005902\\
};
\addlegendentry{PO:PID:Cascade};

\addplot [
color=mycolor2,
solid,
line width=1.0pt
]
table[row sep=crcr]{
1.24999999999981 0.999999918715216\\
1.27500000033374 0.999999936529849\\
1.29999999999993 0.999999949902918\\
1.32499999999894 0.999999960226941\\
1.3499999999908 0.999999968304846\\
1.37499999999806 0.99999997475287\\
1.4000000007371 0.999999979949897\\
1.42499999999992 0.999999984213364\\
1.44999999999044 0.999999987752989\\
1.47499999999997 0.999999990499121\\
1.49999999999999 0.999999991462701\\
1.52499999999677 0.999999992210965\\
1.54999999997072 0.999999992862486\\
1.575 0.999999993474259\\
1.59999999999808 0.99999999399326\\
1.62500000043136 0.999999994517401\\
1.65 0.999999995010604\\
1.67499999997833 0.999999995477268\\
1.7 0.999999995380637\\
1.72499999999892 0.999999995226993\\
1.75 0.999999995046311\\
1.775 0.999999994846563\\
1.79999999999945 1.00714271911365\\
1.82499999999942 1.02377991708373\\
1.85 1.04154556053132\\
1.875 1.06021162182794\\
1.9 1.07964292410325\\
1.92499999996994 1.09967764932247\\
1.94999999999587 1.12022812745663\\
1.97499999979802 1.14121380472126\\
1.99999999999986 1.16258371656836\\
2.02499999996917 1.18427305861225\\
2.049999999985 1.20623739261045\\
2.07499999828326 1.22845542769688\\
2.09999999999532 1.25088539015521\\
2.12499999995394 1.27351041710284\\
2.14999999999817 1.29630064573706\\
2.17499999986645 1.31924866501691\\
2.19999999997932 1.34233699276002\\
2.225 1.36553654742334\\
2.2499999999763 1.38886720925372\\
2.27499999992284 1.41227815709284\\
2.29999999999709 1.43579286874889\\
2.32499999998983 1.4594094358689\\
2.34999999998721 1.48306733895788\\
2.37499999996027 1.50681683465224\\
2.39999999993624 1.53062647723266\\
2.42499999994951 1.5545092030338\\
2.44999999999218 1.57841735051231\\
2.47499999999836 1.60239979611816\\
2.4999999999756 1.62642550806278\\
2.52499999781049 1.6504834628011\\
2.54999999998385 1.67461514184772\\
2.57499999999303 1.69877620479006\\
2.59999999999731 1.72293095317065\\
2.62499999999736 1.7471875657779\\
2.65 1.77143351968613\\
2.67499999998477 1.79569714467998\\
2.69999999998643 1.82002780378046\\
2.72499999986852 1.8443812282524\\
2.75 1.86870346839212\\
2.77499999999183 1.89309741966849\\
2.79999999997255 1.91749982150995\\
2.82499999989939 1.94192177816098\\
2.85 1.96640036653179\\
2.87499999995469 1.99085025570946\\
2.89999999999707 2.01536081597848\\
2.92499999983596 2.03988322391368\\
2.94999999978419 2.06435739406151\\
2.974999999844 2.0889022155768\\
2.99999999998984 2.11345390632696\\
};
\addlegendentry{PO:PI:Chriss};

\addplot [
color=darkgray,
solid,
line width=1.0pt
]
table[row sep=crcr]{
1.24999999999992 0.999999918532094\\
1.27508408186139 0.999999937479578\\
1.30000005935921 0.99999994991809\\
1.32499999998726 0.999999960024195\\
1.34999999999884 0.999999968140154\\
1.37500002341003 0.999999974664863\\
1.39999999999522 0.999999979838262\\
1.42499194745335 0.999999984265059\\
1.4499993306202 0.999999987687386\\
1.4749931618163 0.999999990503689\\
1.49998813794592 0.999999991556802\\
1.52498442223893 0.99999999187606\\
1.54999999999861 0.999999992534693\\
1.57499965671499 0.999999993359016\\
1.60000001991393 0.999999993903911\\
1.62496876288058 0.999999995986167\\
1.64999925636852 0.999999994579328\\
1.67500000000001 0.999999995393363\\
1.7 0.999999995374387\\
1.7250028597624 0.999999995151973\\
1.75000000621793 0.999999994939181\\
1.77499999999872 0.999999994608338\\
1.8000000000001 1.00638913228054\\
1.82499999999506 1.0234803938165\\
1.84999999986084 1.040702031595\\
1.87499999999843 1.05879022763433\\
1.90000221762095 1.07873898708171\\
1.92500358363505 1.09920967873595\\
1.95 1.1191483172159\\
1.97501163021789 1.14309996560386\\
1.99999999999965 1.16172638309203\\
2.02500197161956 1.18296276353619\\
2.05002413361389 1.20797898622132\\
2.07499999958022 1.22799216521338\\
2.09999992634304 1.25091435775417\\
2.12499999999973 1.27303483967371\\
2.14999999997133 1.29696270636406\\
2.17499999191693 1.31921092387878\\
2.19999912612231 1.34196719208413\\
2.22500397719789 1.36520844764054\\
2.24999942343562 1.38899429748577\\
2.27500704350572 1.41197157440499\\
2.29999999392983 1.43607074780935\\
2.32499999971238 1.45990827840389\\
2.34999996123084 1.48305304344934\\
2.37499952403396 1.50718647185736\\
2.40003403045637 1.53030727642858\\
2.42502153917786 1.55422317835689\\
2.4499999999993 1.57845434234718\\
2.47499999999203 1.60294169940438\\
2.50006057668115 1.62548599871311\\
2.52499951240369 1.65099726948268\\
2.5500066148653 1.67514125304275\\
2.57501351290339 1.69942107140566\\
2.59999790914767 1.72292019414067\\
2.62499879532309 1.74548868147872\\
2.65002177467575 1.77152135292581\\
2.67499999935184 1.79675553247284\\
2.69999994642707 1.82121767365151\\
2.72500151299045 1.84384185466708\\
2.74999999537036 1.86938367815067\\
2.77499999999825 1.89501383674734\\
2.79999999991066 1.91920421645987\\
2.82501574129699 1.94142424566963\\
2.85001578886225 1.96560313983941\\
2.87502741463528 1.99015756860357\\
2.89999999990748 2.01454959244527\\
2.92499933460016 2.04010569369559\\
2.95000520211689 2.06436697568912\\
2.97499999999868 2.0896441977543\\
3 2.11428400699245\\
};
\addlegendentry{PO:PI:AltParallel};

\addplot [
color=blue,
solid,
line width=1.0pt
]
table[row sep=crcr]{
1.25000000001112 0.999999918532056\\
1.27499999999483 0.999999936528789\\
1.29999999991172 0.999999949902939\\
1.32499999998511 0.999999960011214\\
1.34999999999996 0.999999968124679\\
1.37499999782402 0.999999974665083\\
1.39999999999998 0.999999979838222\\
1.42502065792205 0.999999984267957\\
1.44999999999983 0.999999987595396\\
1.47500000873984 0.999999990520955\\
1.49999999997956 0.999999991194245\\
1.52499998960437 0.999999992054355\\
1.54999999999998 0.999999992534705\\
1.57500993164593 0.999999993436098\\
1.59999999999401 0.999999993886262\\
1.62499999970488 0.999999994279947\\
1.65001956979194 0.99999999458013\\
1.67500326287122 0.999999995499049\\
1.70000009695391 0.999999995361221\\
1.72500548563465 0.999999995117963\\
1.75000000000012 0.999999994939924\\
1.775 0.999999994608318\\
1.80000000134915 1.00638907830369\\
1.825 1.02348059611071\\
1.85000000046112 1.03918651097376\\
1.87500000000151 1.05878990075363\\
1.9000773425616 1.07877545064498\\
1.92500088389576 1.09920792935233\\
1.95000057671854 1.1206993300148\\
1.97500000077081 1.14150895645889\\
2.00000000000199 1.16172620291579\\
2.02500452318993 1.18296513253587\\
2.05000000016272 1.20604281646129\\
2.07500000000012 1.22801618270349\\
2.10000000370727 1.25125084777025\\
2.12500000000005 1.27303489369432\\
2.15000000000376 1.29654719248082\\
2.17500001334333 1.31921109124204\\
2.20000293624143 1.34197031045192\\
2.22503404817488 1.36523412469836\\
2.25000087143776 1.38924784163559\\
2.27500000000015 1.41261864461766\\
2.30000000002115 1.43528352139806\\
2.32500000020757 1.45990873515297\\
2.35000000000025 1.4837296043279\\
2.37500000000079 1.50772139586537\\
2.40006921128569 1.53034150603585\\
2.42503955746371 1.55424047667905\\
2.45000000000004 1.5784542434417\\
2.47500000000061 1.60294177216801\\
2.50000000000241 1.62671474151855\\
2.52502494588214 1.65102120358832\\
2.5500000000008 1.67465025110451\\
2.57500000000105 1.69887914264794\\
2.60000000000442 1.72295672371699\\
2.6250037949487 1.747366049228\\
2.65004001274844 1.77154010272294\\
2.67500000000846 1.79675642907432\\
2.70000000000238 1.82120632825178\\
2.72500000499219 1.84606633736489\\
2.75000114610608 1.86767867922337\\
2.77501025587231 1.89280013654571\\
2.80000000020125 1.917272867856\\
2.82500000029508 1.94188036169219\\
2.85000000000007 1.9660364141622\\
2.87500018831741 1.99012964163361\\
2.90000000003815 2.01490149433976\\
2.92500197324763 2.04004591641093\\
2.950000151337 2.06507255172627\\
2.97500000000077 2.08964455025836\\
3.00000000000043 2.11428377549085\\
};
\addlegendentry{PO:PI:Cascade};

\addplot [
color=green!50!black,
solid,
line width=1.0pt
]
table[row sep=crcr]{
3.04331594110356 2.24290965476714\\
2.79729527685261 2.00350209514193\\
2.60494549631925 1.81799478979236\\
2.45039258718336 1.67054822525971\\
2.32346361511433 1.55102544867688\\
2.21733880757602 1.452644618102\\
2.12727367121373 1.37070460819628\\
2.04986602498406 1.30185101904975\\
1.98261215726896 1.24363390935671\\
1.92362902066854 1.19423104546034\\
1.87147185790664 1.15226837503396\\
1.82501520926069 1.11670113065406\\
1.78336789494897 1.08673330537378\\
1.74581612418339 1.0617625321887\\
1.71178045500793 1.04134254389415\\
1.68078625805971 1.0251584977492\\
1.652441031789 1.01301186405844\\
1.62641686340712 1.00481383042488\\
1.6024380195432 1.00058667330275\\
1.58027097207503 0.999999999746875\\
1.55971640699284 0.999999999188232\\
1.54060338460856 0.999999998601367\\
1.52278428610772 0.999999997986279\\
1.5061311039688 0.999999997342969\\
1.49053217097756 0.999999996671436\\
1.47588973223582 0.99999999597168\\
1.46211773552745 0.999999995243701\\
1.44914020061364 0.9999999944875\\
1.43688982413365 0.999999993703076\\
1.42530662324915 0.99999999289043\\
1.41433713450135 0.999999992049561\\
1.40393342177542 0.999999991180469\\
1.39405249904155 0.999999990283154\\
1.38465556208144 0.999999989357617\\
1.37570763145435 0.999999988403858\\
1.36717699797496 0.999999987421875\\
1.35903487226734 0.99999998641167\\
1.35125512339227 0.999999985373243\\
1.34381384972625 0.999999984306592\\
1.33668924024006 0.999999983211719\\
1.32986132392518 0.999999982088624\\
1.32331181334469 0.999999980937305\\
1.31702384138399 0.999999979757764\\
1.31098193560398 0.999999978550001\\
1.30517178081916 0.999999977314014\\
1.29958018552574 0.999999976049806\\
1.29419493491327 0.999999974757374\\
1.28900470277281 0.99999997343672\\
1.28399900911942 0.999999972087843\\
1.27916807755608 0.999999970710744\\
1.27450284622564 0.999999969305421\\
1.26999483873877 0.999999967871877\\
1.26563617544678 0.999999966410109\\
1.26141949162407 0.999999964920119\\
1.2573378963815 0.999999963401906\\
1.25338493542177 0.999999961855471\\
1.24955456209579 0.999999960280813\\
1.24584113706302 0.999999958677932\\
1.24223929665931 0.999999957046829\\
1.23874407203806 0.999999955387503\\
1.23535073978817 0.999999953699954\\
1.23205486528682 0.999999951984183\\
1.22885227426269 0.999999950240189\\
1.22573902626417 0.999999948467973\\
1.22271139862139 0.999999946667533\\
1.21976587170115 0.999999944838872\\
1.21689911533557 0.999999942981987\\
1.21410800647121 0.99999994109688\\
1.21138953239857 0.99999993918355\\
1.20874088618131 0.999999937241998\\
1.20615937092714 0.999999935272223\\
1.20364246526236 0.999999933274225\\
1.20118773123796 0.999999931248005\\
1.19879287573617 0.999999929193562\\
1.1964557164847 0.999999927110897\\
1.19417417548185 0.999999925000008\\
};
\addlegendentry{SIMC:PID};

\addplot [
color=mycolor3,
solid,
line width=1.0pt
]
table[row sep=crcr]{
3.22534579747023 2.48759229866997\\
2.98549236301875 2.25232332921404\\
2.7931903162726 2.06468435853855\\
2.63553717525999 1.91178436356024\\
2.50391391147149 1.78501393778712\\
2.39234262947671 1.67840843552042\\
2.29654732571599 1.58770392353389\\
2.21338851596991 1.50977355208078\\
2.14050974023665 1.44227327360119\\
2.07610512410951 1.38341173504163\\
2.01877078099762 1.33179868711955\\
1.96739588744977 1.28633949220352\\
1.92109198832829 1.24616164537514\\
1.87913855065714 1.21056278627851\\
1.84094625133985 1.17897251720516\\
1.80602723151425 1.15092423904329\\
1.77397534149242 1.12603436242394\\
1.74444849816577 1.10398621536139\\
1.71715761890435 1.08451819147366\\
1.69185582584632 1.06741433171969\\
1.66833176412228 1.0524972965058\\
1.64640272085047 1.03962276091301\\
1.62591046689731 1.02867538576855\\
1.606717160662 1.01956566588239\\
1.58870193155614 1.01222774672199\\
1.57175870521945 1.00661802610175\\
1.55579351597388 1.00271449414379\\
1.54072342165706 1.00051677958932\\
1.52647448712001 0.999999999788074\\
1.512980621661 0.999999998846875\\
1.50018295146125 0.999999997868542\\
1.48802831647384 0.999999996853076\\
1.47646905584798 0.999999995800476\\
1.46546194025355 0.999999994710742\\
1.45496801883872 0.999999993583874\\
1.44495180371081 0.999999992419873\\
1.43538107167102 0.999999991218738\\
1.42622648295662 0.999999989980468\\
1.41746116204305 0.999999988705066\\
1.40906056841431 0.999999987392529\\
1.40100213051783 0.999999986042859\\
1.39326514869092 0.999999984656055\\
1.3858305419919 0.999999983232117\\
1.37868081306908 0.999999981771045\\
1.37179960846758 0.99999998027284\\
1.36517201757807 0.9999999787375\\
1.35878406527371 0.999999977165027\\
1.35262284646987 0.99999997555542\\
1.34667636351302 0.99999997390868\\
1.34093349838804 0.999999972224806\\
1.33538381645339 0.999999970503797\\
1.33001762820609 0.999999968745655\\
1.32482586965543 0.99999996695038\\
1.31980012112855 0.99999996511797\\
1.31493241735337 0.999999963248427\\
1.3102153396771 0.99999996134175\\
1.30564192202032 0.999999959397939\\
1.30120564458455 0.999999957416994\\
1.29690035632928 0.999999955398916\\
1.29272023763703 0.999999953343704\\
1.28865991103725 0.999999951251358\\
1.28471417961563 0.999999949121878\\
1.28087823030005 0.999999946955265\\
1.27714750597562 0.999999944751518\\
1.27351766518737 0.999999942510637\\
1.26998462637388 0.999999940232622\\
1.26654452319995 0.999999937917473\\
1.26319369071616 0.999999935565191\\
1.25992868619081 0.999999933175775\\
1.25674618718599 0.999999930749225\\
1.25364305732256 0.999999928285542\\
1.25061637956471 0.999999925784725\\
1.24766327247296 0.999999923246773\\
1.24478110291738 0.999999920671689\\
1.24196728704719 0.99999991805947\\
1.23921939378531 0.999999915410117\\
1.23653511151806 0.999999912723631\\
1.23391224236418 0.999999910000011\\
};
\addlegendentry{SIMC:PI};

\end{axis}
\end{tikzpicture}%