Two-Stage Control Design of a Buck Converter/DC Motor System without Velocity Measurements via a
<svg     style="vertical-align:-0.0pt;width:51.025002px;" id="M1" height="15.025" version="1.1" viewBox="0 0 51.025002 15.025" width="51.025002"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,14.975)"><path id="x3A3" d="M570 168l-39 -168h-498v23l262 301l-248 304v22h471q4 -71 11 -146l-29 -4q-17 65 -37 88q-12 15 -36 20.5t-79 5.5h-181l211 -256l-243 -287h280q51 0 77 20.5t49 83.5z" /></g><g transform="matrix(.022,-0,0,-.022,18.444,14.975)"><path id="x2212" d="M535 230h-483v50h483v-50z" /></g><g transform="matrix(.022,-0,0,-.022,36.579,14.975)"><path id="x394" d="M600 0h-557v24l268 633l28 8l261 -641v-24zM497 50l-194 489l-196 -489h390z" /></g>

		
	
</svg>-Modulator

<table>Numerical simulations for <svg height="11.175" id="M161" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 9.8249998 11.175" width="9.8249998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M559 163q-23 -66 -68 -163h-474l6 26q62 4 79.5 19.5t28.5 75.5l78 409q7 35 8.5 49t-8 25t-24 13t-51.5 5l5 28h266l-6 -28q-65 -5 -79.5 -18t-25.5 -74l-76 -406q-10 -57 14 -75q12 -13 96 -13q93 0 126 29q41 40 76 109z" id="x1D43F"></path></g>
</svg> changes.</table>

Mathematical Problems in Engineering

fig6

Figure 6

Figure 6: Two-Stage Control Design of a Buck Converter/DC Motor System without Velocity Measurements via a
<svg     style="vertical-align:-0.0pt;width:51.025002px;" id="M1" height="15.025" version="1.1" viewBox="0 0 51.025002 15.025" width="51.025002"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,14.975)"><path id="x3A3" d="M570 168l-39 -168h-498v23l262 301l-248 304v22h471q4 -71 11 -146l-29 -4q-17 65 -37 88q-12 15 -36 20.5t-79 5.5h-181l211 -256l-243 -287h280q51 0 77 20.5t49 83.5z" /></g><g transform="matrix(.022,-0,0,-.022,18.444,14.975)"><path id="x2212" d="M535 230h-483v50h483v-50z" /></g><g transform="matrix(.022,-0,0,-.022,36.579,14.975)"><path id="x394" d="M600 0h-557v24l268 633l28 8l261 -641v-24zM497 50l-194 489l-196 -489h390z" /></g>

		
	
</svg>-Modulator 

Mathematical Problems in Engineering

Two-Stage Control Design of a Buck Converter/DC Motor System without Velocity Measurements via a -Modulator

Figure 6