Control of an Automotive Semi-Active Suspension

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="218106.fig.0012a" src="https://static.hindawi.com/articles/mpe/volume-2012/218106/figures/218106.fig.0012a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b><svg height="16.4125" id="M244" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 31.237499 16.4125" width="31.237499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,9,11.813)"><use xlink:href="#x308"></use></g><g transform="matrix(.017,-0,0,-.017,.062,12.137)"><use xlink:href="#x1D467"></use></g>
<g transform="matrix(.012,-0,0,-.012,8.525,16.212)"><use xlink:href="#x1D460"></use></g>
<g transform="matrix(.017,-0,0,-.017,13.612,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,19.494,12.138)"><use xlink:href="#x1D461"></use></g><g transform="matrix(.017,-0,0,-.017,25.291,12.138)"><use xlink:href="#x29"></use></g>
</svg> under <svg height="17.6625" id="M245" style="vertical-align:-4.3598pt" version="1.1" viewbox="0 0 26.137501 17.6625" width="26.137501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D453"></use></g>
<g transform="matrix(.012,-0,0,-.012,10.975,16.25)"><use xlink:href="#x1D45A"></use></g><g transform="matrix(.012,-0,0,-.012,20.988,17.45)"><use xlink:href="#x1D460"></use></g>
</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="218106.fig.0012b" src="https://static.hindawi.com/articles/mpe/volume-2012/218106/figures/218106.fig.0012b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b><svg height="16.4125" id="M246" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 78.012497 16.4125" width="78.012497" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,5.944,12.138)"><use xlink:href="#x1D467"></use></g>
<g transform="matrix(.012,-0,0,-.012,14.413,16.212)"><use xlink:href="#x75"></use></g><g transform="matrix(.012,-0,0,-.012,20.695,16.212)"><use xlink:href="#x73"></use></g>
<g transform="matrix(.017,-0,0,-.017,35.125,12.138)"><use xlink:href="#x2212"></use></g><g transform="matrix(.017,-0,0,-.017,54.538,12.138)"><use xlink:href="#x1D467"></use></g>
<g transform="matrix(.012,-0,0,-.012,63.012,16.212)"><use xlink:href="#x1D460"></use></g>
<g transform="matrix(.017,-0,0,-.017,72.062,12.138)"><use xlink:href="#x29"></use></g>
</svg> under <svg height="17.6625" id="M247" style="vertical-align:-4.35979pt" version="1.1" viewbox="0 0 32.325001 17.6625" width="32.325001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D453"></use></g>
<g transform="matrix(.012,-0,0,-.012,10.975,16.25)"><use xlink:href="#x1D45A"></use></g>
<g transform="matrix(.012,-0,0,-.012,20.987,17.45)"><use xlink:href="#x75"></use></g><g transform="matrix(.012,-0,0,-.012,27.27,17.45)"><use xlink:href="#x73"></use></g>
</svg></td></tr></table></td></tr></table>

<table>Improved RMS in transient response for (a) sprung-mass acceleration at <svg height="19.262501" id="M242" style="vertical-align:-5.65108pt" version="1.1" viewbox="0 0 24.862499 19.262501" width="24.862499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D453"></use></g>
<g transform="matrix(.012,-0,0,-.012,10.975,16.25)"><use xlink:href="#x1D45A"></use></g>
<g transform="matrix(.008,-0,0,-.008,20.362,19.1)"><use xlink:href="#x1D460"></use></g>
</svg>, and (b) tire deflection at <svg height="19.262501" id="M243" style="vertical-align:-5.65106pt" version="1.1" viewbox="0 0 29.275 19.262501" width="29.275" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D453"></use></g>
<g transform="matrix(.012,-0,0,-.012,10.975,16.25)"><use xlink:href="#x1D45A"></use></g>
<g transform="matrix(.008,-0,0,-.008,20.362,19.1)"><use xlink:href="#x75"></use></g><g transform="matrix(.008,-0,0,-.008,24.858,19.1)"><use xlink:href="#x73"></use></g>
</svg>, under resonance frequencies.</table>

Mathematical Problems in Engineering

Control of an Automotive Semi-Active Suspension

Figure 12