A Robust Recursive Filter for Nonlinear Systems with Correlated Noises, Packet Losses, and Multiplicative Noises

<table>The trajectory of the actual state <svg height="12.0375" id="M209" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 16.200001 12.0375" width="16.200001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.9)"><path d="M484 24v-24h-241v24q45 3 45 20q0 16 -33 64q-23 32 -42 63l-16 -20q-64 -76 -64 -103q0 -21 50 -24v-24h-169v24q27 1 49 19q20 16 64 74l43 56q8 9 11 14t11 14l-128 197q-15 23 -24 29.5t-28 9.5v24h250v-24q-47 -2 -47 -19q0 -22 58 -98q7 -8 13 -17l36 46
q38 50 38 64q0 11 -6.5 15.5t-24.5 6.5l-20 2v24h168v-24q-45 -8 -70 -39l-101 -126l148 -228q7 -12 30 -20z" id="x1D431"></path></g>
<g transform="matrix(.012,-0,0,-.012,9.812,11.975)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g>
</svg> and its estimate.</table>

Mathematical Problems in Engineering

fig1

Figure 1

Figure 1: A Robust Recursive Filter for Nonlinear Systems with Correlated Noises, Packet Losses, and Multiplicative Noises 