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text-indent:-.25in;} ol {margin-bottom:0in;} ul {margin-bottom:0in;} --> </style> <!--[if gte mso 10]> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman";} </style> <![endif]--><!--[if gte mso 9]><xml> <o:shapedefaults v:ext="edit" spidmax="1027"/> </xml><![endif]--><!--[if gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit" data="1"/> </o:shapelayout></xml><![endif]--> </head> <body bgcolor=white lang=EN-US link=blue vlink=blue style='tab-interval:.5in'> <div class=WordSection1> <h3><span style='font-size:20.0pt;mso-fareast-font-family:"Times New Roman"'>Model-Free Stabilization by <span class=SpellE>Extremum</span> Seeking</span><span style='mso-fareast-font-family:"Times New Roman"'><br> </span><span style='font-size:18.0pt;font-family:"Times New Roman";mso-fareast-font-family: "Times New Roman";font-weight:normal'>Alexander <span class=SpellE>Scheinker</span> and Miroslav Krstic </span><span style='font-size:20.0pt;mso-fareast-font-family: "Times New Roman"'><o:p></o:p></span></h3> <p class=MsoNormal style='tab-stops:.5in 1.0in 1.5in 2.0in 2.5in 3.0in 3.5in 411.35pt'><span style='font-size:12.0pt;font-family:"Times New Roman"'>Springer, 2017<o:p></o:p></span></p> <p class=MsoNormal><span style='font-size:12.0pt;font-family:"Times New Roman"'>127 pages, hardcover<o:p></o:p></span></p> <p class=MsoNormal><span style='font-size:12.0pt;font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";color:#262626'>ISBN 978-3-319-50790-3<o:p></o:p></span></p> <p class=MsoNormal><o:p>&nbsp;</o:p></p> <p class=MsoNormal><span style='font-size:12.0pt;font-family:"Times New Roman"'><a href="http://flyingv.ucsd.edu/krstic/preface-contents-scheinker-krstic.pdf">Preface and Contents</a><o:p></o:p></span></p> <p class=MsoNormal><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"; font-variant:small-caps'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> <v:stroke joinstyle="miter"/> <v:formulas> <v:f eqn="if lineDrawn pixelLineWidth 0"/> <v:f eqn="sum @0 1 0"/> <v:f eqn="sum 0 0 @1"/> <v:f eqn="prod @2 1 2"/> <v:f eqn="prod @3 21600 pixelWidth"/> <v:f eqn="prod @3 21600 pixelHeight"/> <v:f eqn="sum @0 0 1"/> <v:f eqn="prod @6 1 2"/> <v:f eqn="prod @7 21600 pixelWidth"/> <v:f eqn="sum @8 21600 0"/> <v:f eqn="prod @7 21600 pixelHeight"/> <v:f eqn="sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> <o:lock v:ext="edit" aspectratio="t"/> </v:shapetype><v:shape id="Picture_x0020_1" o:spid="_x0000_s1026" type="#_x0000_t75" style='position:absolute;margin-left:0;margin-top:.05pt;width:5in;height:566.45pt; z-index:251658240;visibility:visible;mso-wrap-style:square; mso-width-percent:0;mso-height-percent:0;mso-wrap-distance-left:9pt; mso-wrap-distance-top:0;mso-wrap-distance-right:9pt; mso-wrap-distance-bottom:0;mso-position-horizontal:left; mso-position-horizontal-relative:text;mso-position-vertical:absolute; mso-position-vertical-relative:text;mso-width-percent:0;mso-height-percent:0; mso-width-relative:page;mso-height-relative:page'> <v:imagedata src="b12_files/image001.jpg" o:title=""/> <w:wrap type="square"/> </v:shape><![endif]--><![if !vml]><img width=362 height=569 src="b12_files/image002.png" align=left hspace=9 v:shapes="Picture_x0020_1"><![endif]><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman";font-variant: small-caps'>Contents:<span style='mso-tab-count:1'> </span><o:p></o:p></span></p> <p class=MsoNormal><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"; font-variant:small-caps'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span style='font-size:14.0pt;font-family:"Times New Roman"'>Preface( <o:p></o:p></span></p> <p class=MsoNormal><span style='font-size:14.0pt;font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='margin-left:.25in'><span style='font-size:14.0pt; font-family:"Times New Roman"'>1. Introduction( ( <o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in;line-height:15.0pt;mso-pagination: none;tab-stops:11.0pt .5in;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman";mso-fareast-font-family: "Times New Roman";color:black'>2. Weak Limit Averaging for Studying the Dynamics of <span class=SpellE>Extremum</span> Seeking-Stabilized Systems ( <o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in;line-height:15.0pt;mso-pagination: none;tab-stops:11.0pt .5in;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman";mso-fareast-font-family: "Times New Roman";color:black'>3. Minimization of <span class=SpellE>Lyapunov</span> Functions<o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in;line-height:15.0pt;mso-pagination: none;tab-stops:11.0pt .5in;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman";mso-fareast-font-family: "Times New Roman";color:black'>4. Control Affine Systems<o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in;line-height:15.0pt;mso-pagination: none;tab-stops:11.0pt .5in;mso-layout-grid-align:none;text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman";mso-fareast-font-family: "Times New Roman";color:black'>5. Non-C<sup>2</sup> ES<o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in'><span style='font-size:14.0pt; font-family:"Times New Roman"'>6. Bounded ES<o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in'><span style='font-size:14.0pt; font-family:"Times New Roman"'>7. <span class=SpellE>Extremum</span> Seeking for Stabilization of Systems Not Affine in Control<o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in'><span style='font-size:14.0pt; font-family:"Times New Roman"'>8. General Choice of ES Dithers<o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in'><span style='font-size:14.0pt; font-family:"Times New Roman"'>9. Application Study: Particle Accelerator Tuning<o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in'><span style='font-size:14.0pt; font-family:"Times New Roman"'>10. Conclusions<o:p></o:p></span></p> <p class=MsoNormal style='margin-left:.25in'><span style='font-size:14.0pt; font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='margin-left:.25in'><span style='font-size:14.0pt; font-family:"Times New Roman"'>References<o:p></o:p></span></p> <p class=MsoNormal><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><a href="https://www.amazon.com/Model-Free-Stabilization-SpringerBriefs-Electrical-Engineering/dp/3319507893/ref=sr_1_1?ie=UTF8&amp;qid=1484528375&amp;sr=8-1&amp;keywords=scheinker+krstic">Order from Amazon.com</a><o:p></o:p></span></p> <p class=MsoNormal><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><a href="http://www.springer.com/us/book/9783319507897">Order from Springer</a></span><span style='mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal><span style='font-size:14.0pt;font-family:"Times New Roman"; font-variant:small-caps'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal><span style='font-size:14.0pt;font-family:"Times New Roman"; font-variant:small-caps'>Publisher's description:<o:p></o:p></span></p> <p class=MsoNormal><span style='font-size:14.0pt;font-family:"Times New Roman"; font-variant:small-caps'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-pagination:none;mso-layout-grid-align:none; text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";color:#262626'>With this brief, the authors present algorithms for model-free stabilization of unstable dynamic systems. An <span class=SpellE>extremum</span>-seeking algorithm assigns the role of a cost function to the dynamic system s control <span class=SpellE>Lyapunov</span> function (<span class=SpellE>clf</span>) aiming at its minimization. The minimization of the <span class=SpellE>clf</span> drives the <span class=SpellE>clf</span> to zero and achieves asymptotic stabilization. This approach does not rely on, or require knowledge of, the system model. Instead, it employs periodic perturbation signals, along with the <span class=SpellE>clf</span>. The same effect is achieved as by using <span class=SpellE>clf</span>-based feedback laws that profit from modeling knowledge, but in a time-average sense. Rather than use integrals of the systems vector field, we employ Lie-bracket-based (i.e., derivative-based) averaging.<o:p></o:p></span></p> <p class=MsoNormal style='mso-pagination:none;mso-layout-grid-align:none; text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";color:#262626'><o:p>&nbsp;</o:p></span></p> <p class=MsoNormal style='mso-pagination:none;mso-layout-grid-align:none; text-autospace:none'><span style='font-size:14.0pt;font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman";color:#262626'>The brief contains numerous examples and applications, including examples with unknown control directions and experiments with charged particle accelerators. It is intended for theoretical control engineers and mathematicians, and practitioners working in various industrial areas and in robotics.</span><span style='font-size:14.0pt; font-family:"Times New Roman"'><o:p></o:p></span></p> <p class=MsoNormal style='mso-pagination:none;tab-stops:28.0pt 140.0pt; mso-layout-grid-align:none;text-autospace:none'><span style='font-size:12.0pt; font-family:"Times New Roman"'><span style='mso-tab-count:1'> </span></span><span style='font-size:12.0pt;mso-bidi-font-family:"Times New Roman"'><o:p></o:p></span></p> <p><o:p>&nbsp;</o:p></p> <p><o:p>&nbsp;</o:p></p> </div> </body> </html>