TY - JOUR
T1 - Observer-based digital tracker for the manoeuvring target described by the continuous-time non-linear dynamic system
AU - Tsai, J. S.H.
AU - Wang, C. T.
AU - Guo, S. M.
AU - Shieh, L. S.
AU - Liu, C. R.
PY - 2008
Y1 - 2008
N2 - The current paper develops an effective and robust digital guidance law to intercept the highly manoeuvring target described by the continuous-time non-linear dynamic system. First, an optimal linearization model for the non-linear system is constructed at the operating point of interest on the trajectory. Then, high-gain optimal linear quadratic analogue tracker and observer are designed by utilizing the optimal linearization model and the optimal control theory, so that the effect of the unpredictable acceleration of the target can be substantially attenuated and even can be disregarded. For reducing the control effort without raising the prescribed interception time, and for practical implementation of the designed tracker, the prediction-based digital redesign method is utilized to obtain relatively low-gain digital tracker and observer from the well-designed high-gain optimal analogue tracker and observer. With the aid of the global positioning system, the proposed observer-based digital tracker is able to successfully intercept a highly manoeuvring target without the constraint on initial trajectory, and can effectively deal with various barriers during the interception. Illustrative examples are given to demonstrate the effectiveness and robustness of the proposed digital guidance law.
AB - The current paper develops an effective and robust digital guidance law to intercept the highly manoeuvring target described by the continuous-time non-linear dynamic system. First, an optimal linearization model for the non-linear system is constructed at the operating point of interest on the trajectory. Then, high-gain optimal linear quadratic analogue tracker and observer are designed by utilizing the optimal linearization model and the optimal control theory, so that the effect of the unpredictable acceleration of the target can be substantially attenuated and even can be disregarded. For reducing the control effort without raising the prescribed interception time, and for practical implementation of the designed tracker, the prediction-based digital redesign method is utilized to obtain relatively low-gain digital tracker and observer from the well-designed high-gain optimal analogue tracker and observer. With the aid of the global positioning system, the proposed observer-based digital tracker is able to successfully intercept a highly manoeuvring target without the constraint on initial trajectory, and can effectively deal with various barriers during the interception. Illustrative examples are given to demonstrate the effectiveness and robustness of the proposed digital guidance law.
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U2 - 10.1243/09544100JAERO238
DO - 10.1243/09544100JAERO238
M3 - Article
AN - SCOPUS:45549105090
SN - 0954-4100
VL - 222
SP - 213
EP - 228
JO - Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
JF - Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
IS - 2
ER -