• Infrared and Laser Engineering
  • Vol. 50, Issue 3, 20200442 (2021)
Yuchao Fang1, Jing Xu1, Yongsheng Zhang1, and Mengxue Li2
Author Affiliations
  • 1Institute of Computer Science and Technology, Changchun University of Science and Technology, Changchun 130022, China
  • 2College of Automobile Application, Changchun Automobile Industry Insititute, Changchun 130013, China
  • show less
    DOI: 10.3788/IRLA20200442 Cite this Article
    Yuchao Fang, Jing Xu, Yongsheng Zhang, Mengxue Li. Airborne target indication stability control based on improved extended state observation[J]. Infrared and Laser Engineering, 2021, 50(3): 20200442 Copy Citation Text show less

    Abstract

    A control algorithm based on disturbance estimation and compensation theory was proposed in order to meet the design requirement of apparent axis velocity stationary-error in advanced airborne target indication equipment. An improved extended state observer (ESO) was designed to reduce the phase delay of the high order observer and to improve the control accuracy of the line of sight (LOS). The step response and velocity stability capability of the improved control algorithm were tested in the experiment, and were compared with the classical control algorithm. By analyzing the step experiment results, it can be seen that the designed control algorithm can achieve shorter stability time and lower overshoot under different closed-loop control bandwidth. Under the closed-loop bandwidth of 35 Hz, the stability time of PID algorithm was reduced by 49.1% and the overshoot was reduced by 88.4%, and the dynamic performance of the system was significantly improved. The velocity stability experimental results show that the designed control algorithm can significantly improve the rejection capability of different disturbances of amplitude of 1° and frequency within 2.5 Hz, the velocity error of the LOS was controlled within 0.1(°)/s, and the disturbance residuals were less than 0.1(°)/s. The designed control algorithm meets the design requirements of advanced target indication equipment and has high practical value for improving the dynamic performance of the system and the velocity stability of the LOS.
    $G(s) = \frac{{645}}{{{s^2} + 91s + 460}}$(1)

    View in Article

    $\left\{ {\begin{array}{*{20}{l}} {\dot x(t) = Ax(t) + Bu(t) + Ed(t)} \\ {y(t) = Cx(t) + Du(t)} \end{array}} \right.$(2)

    View in Article

    $ \begin{array}{l}A=\left[\begin{array}{ccc}0& 1& 0\\ 0& 0& 1\\ 0& 0& 0\end{array}\right], B=\left[\begin{array}{c}0\\ b\\ 0\end{array}\right], E=\left[\begin{array}{c}0\\ 0\\ 1\end{array}\right]\\ C=\left[\begin{array}{ccc}1& 0& 0\end{array}\right],D=\left[0\right]\end{array}$()

    View in Article

    ${\dot{ \hat x}}(t) = A\hat x(t) + Bu(t) + L[y(t) - \hat y(t)]$(3)

    View in Article

    $\left\{\!\! {\begin{array}{*{20}{l}} {\left[\!\! {\begin{array}{*{20}{c}} {{{\dot {\textit{z}}}_1}(t)} \\ {{{\dot {\textit{z}}}_2}(t)} \end{array}} \!\!\right] \!=\! \left[ {\begin{array}{*{20}{c}} 0&1 \\ 0&0 \end{array}} \right]\left[\!\! {\begin{array}{*{20}{c}} {{{\textit{z}}_1}(t)} \\ {{{\textit{z}}_2}(t)} \end{array}} \!\!\right] \!+\! \left[\!\! {\begin{array}{*{20}{c}} 0 \\ {\hat b} \end{array}}\!\! \right]u(t) \!+\! \left[\!\! {\begin{array}{*{20}{c}} {{l_1}} \\ {{l_2}} \end{array}} \right][y(t) \!-\! {{\textit{z}}_1}(t)\!]} \\ {{{\textit{z}}_3}(t) = \displaystyle\int {{l_3}[y(t) - {{\textit{z}}_1}(t)]{\rm{d}}t} } \end{array}} \right.$(4)

    View in Article

    $\left\{ {\begin{array}{*{20}{l}} {{\textit{z}}[k + 1] = \varPhi {\textit{z}}[k] + \varGamma u[k] + {L_p}(y[k] - {{\textit{z}}_1}[k])} \\ {\bar {\textit{z}}[k] = {\textit{z}}[k] + {L_c}(y[k] - {{\textit{z}}_1}[k])} \end{array}} \right.$(5)

    View in Article

    $\begin{array}{l} \varPhi = \left[ {\begin{array}{*{20}{c}} 1&T \\ 0&1 \end{array}} \right],\varGamma = \left[ {\begin{array}{*{20}{c}} {\hat b\dfrac{{{T^2}}}{2}} \\ {\hat bT} \end{array}} \right], \\ {L_c} = \left[ {\begin{array}{*{20}{c}} {1 - {\beta _2}} \\ {(1 + {\beta _2} - 2{\beta _1})/T} \end{array}} \right], \\ {L_p} = \left[ {\begin{array}{*{20}{c}} {2 - 2{\beta _1}} \\ {(1 + {\beta _2} - 2{\beta _1})/T} \end{array}} \right], \\ \end{array} $()

    View in Article

    $ {\beta _1} = {{\rm{e}}^{ - \frac{3}{2}{\omega _0}T}}\cos \left(\dfrac{{\sqrt 3 }}{2}{\omega _0}T\right),{\beta _2} = {{\rm{e}}^{ - 3{\omega _0}T}}$()

    View in Article

    $\hat d(t + {l_d}) \approx \int {{l_3}[y(t) - {{\textit{z}}_1}(t)]} {\rm{d}}t + {l_d}{l_3}[y(t) - {{\textit{z}}_1}(t)]$(6)

    View in Article

    $\left\{ {\begin{array}{*{20}{l}} {{{\dot {\textit{z}}}_1}(t) = \hat bu(t) + {l_1}[\dot y(t) + {{\textit{z}}_1}(t)]} \\ {{{\textit{z}}_2} = \displaystyle\int {{l_2}[\dot y(t) + {{\textit{z}}_1}(t)]{\rm{d}}t} } \end{array}} \right.$(7)

    View in Article

    $\left\{ {\begin{array}{*{20}{l}} {{{\textit{z}}_1}[k + 1] = \varPhi {{\textit{z}}_1}[k] + \varGamma u[k] + {L_p}(\dot y[k] - {{\textit{z}}_1}[k])} \\ {{{\bar {\textit{z}}}_1}[k] = {{\textit{z}}_1}[k] + {L_c}(\dot y[k] - {{\textit{z}}_1}[k])} \end{array}} \right.$()

    View in Article

    $\begin{array}{l} \varPhi = 1,\varGamma = bT,{L_c} = {L_p} = 1 - \beta ,{\rm{and}} \\ \beta = {{\rm{e}}^{ - 2{\omega _0}T}} \\ \end{array} $()

    View in Article

    $ \hat d(t + {l_d}) \approx \int {{l_2}[\dot y(t) - {{\textit{z}}_1}(t)]} {\rm{d}}t + {l_d}{l_2}[\dot y(t) - {{\textit{z}}_1}(t)] $ ()

    View in Article

    Yuchao Fang, Jing Xu, Yongsheng Zhang, Mengxue Li. Airborne target indication stability control based on improved extended state observation[J]. Infrared and Laser Engineering, 2021, 50(3): 20200442
    Download Citation