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ZHANG Xin-di, CHEN Hui, ZHANG Hong-yun, LIAN Feng, ZHANG Guang-hua, YIN Zhi-peng. Labeled Multi-Bernoulli Sensor Management Strategy Based on Twin-Delayed Deep Deterministic Policy Gradient Learning Mechanism[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT260045
Citation: ZHANG Xin-di, CHEN Hui, ZHANG Hong-yun, LIAN Feng, ZHANG Guang-hua, YIN Zhi-peng. Labeled Multi-Bernoulli Sensor Management Strategy Based on Twin-Delayed Deep Deterministic Policy Gradient Learning Mechanism[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT260045

Labeled Multi-Bernoulli Sensor Management Strategy Based on Twin-Delayed Deep Deterministic Policy Gradient Learning Mechanism

doi: 10.11999/JEIT260045 cstr: 32379.14.JEIT260045
Funds:  The National Natural Science Foundation of China (62163023, 61873116, 62366031, 62363023), the Gansu Provincial Science and Technology Plan Project of China (25ZYJA040, 25JRRA058), the 2024 Gansu Provincial Key Talent Project of China and the 2023 Gansu Provincial Special Fund for Military-Civilian Integration Development of China
  • Received Date: 2024-09-27
  • Accepted Date: 2026-06-30
  • Rev Recd Date: 2026-06-30
  • Available Online: 2026-07-13
  •   Objective  Multi-target tracking requires sensor management to adapt the observation process to clutter, missed detections, target-number variations, and changes in target motion. Conventional methods often search over a finite set of sensor actions, resulting in increasing computational cost and limited control resolution. Moreover, rewards formed by combining several single-target quantities may not adequately represent the joint multi-target posterior. A continuous-action sensor management method integrating the Twin-Delayed Deep Deterministic Policy Gradient algorithm with the Labeled Multi-Bernoulli filter is therefore developed to optimize mobile-sensor heading according to the multi-target belief state.  Methods  The LMB posterior, including target existence probabilities and state densities, is used to construct the belief state. At each filtering step, the mobile sensor selects a continuous heading angle that affects the sensor-target geometry, detection probability, and LMB update. Predicted target states and candidate headings are used to generate ideal measurements and obtain pseudo-updated LMB densities. The Cauchy-Schwarz divergence between the predicted and pseudo-updated densities is used to construct the information-gain reward. TD3 employs two critics, target policy smoothing, and delayed actor updates to reduce value-estimation bias. Random control, policy-gradient control, an information-driven discrete method, and DDPG-based continuous control are used for comparison.  Results and Discussions  DDPG-LMB and TD3-LMB produce more continuous steering changes than the discrete-action methods (Fig. 2). TD3-LMB obtains the highest or near-highest detection probabilities for most targets (Fig. 3) and gives relatively large Cauchy-Schwarz divergence values during most time steps, while random control remains relatively low (Fig. 4). TD3-LMB also achieves the lowest overall OSPA in the tested scenario, with DDPG-LMB generally outperforming the discrete baselines (Fig. 5). These results show that continuous heading control improves observation quality and overall LMB tracking performance.  Conclusions  A TD3-based continuous-action sensor management framework for the LMB filter is presented. Candidate heading actions are evaluated through pseudo-updated LMB densities and Cauchy-Schwarz divergence, linking action selection directly to the joint multi-target posterior. The simulation results show more continuous sensor motion, higher detection probabilities for most targets, larger information gain, and lower OSPA in the tested scenario. Future work will consider higher-dimensional actions and cooperative multi-sensor management.
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