05 August 2026, Volume 25 Issue 4
    

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    Summary 
  • Yang Zihao, Li Jiawei, Ma Tianyi, Luo Tao, Li Jun, Wu Fan, Yue Yazhou
    Navigation and Control. 2026, 25(4): 1-16. https://doi.org/10.3969/j.issn.1674-5558.2026.04.001
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    The performance improvement of conventional optical gyroscopes is approaching the standard quantum limit dominated by shot noise. Moreover, the improvement in measurement accuracy typically relies on increasing the fiber coil area, which fundamentally conflicts with the demands for system miniaturization and low power consumption. By adopting quantum light sources or quantum measurement technologies, quantum optical gyroscopes reconstruct the sensing mechanism from the physical perspective and offer a new approach to breaking the aforementioned limits. This paper comparatively analyzes the core accuracy-enhancement mechanisms of four technical routes: squeezed-light sources, entangled-light sources, weak-value amplification, and correlation enhancement. The domestic and international research progress as well as development trends for each route are systematically reviewed. Benefiting from its theoretical sensitivity and integration potential, the optical quantum gyroscope is expected to provide transformative technical support for the next generation high-precision inertial navigation systems.
  • Navigation and Guidance
  • Wu Biwen, Ji Yi
    Navigation and Control. 2026, 25(4): 17-28. https://doi.org/10.3969/j.issn.1674-5558.2026.04.002
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Noise has a significant impact on the accuracy of parameter identification for linear frequency modulated(LFM) signals. In low signal-to-noise ratio(SNR) environments, the parameter estimates often diverge and become unreliable. To address this problem, a parameter estimation method that combines multi-angle spectrum weighting, quasi-Newton iteration, and the fractional Fourier transform(FRFT) is proposed. Firstly, within the FRFT framework, multi-angle spectrum weighting is introduced to enhance robustness under low-SNR conditions, and a phase-residual feedback compensation mechanism is incorporated to achieve closed-loop calibration. Savitzky-Golay filtering is then used to accurately extract spectral peak locations, thereby enabling joint estimation of the initial frequency and chirp rate. Secondly, a quasi-Newton method based on three-point quadratic fitting is employed to dynamically adjust the FRFT rotation angle, improving search efficiency. Finally, simulation results show that, for SNRs of 6 dB and above, the proposed algorithm achieves a correct parameter identification rate exceeding 95%, with a root-mean-square error (RMSE) of 0.4~0.6 Hz for the initial frequency estimate and an RMSE of 0.2~0.5 Hz/s for the chirp rate. Compared with conventional two-dimensional search methods, the proposed approach reduces the number of FRFT computations from several hundred to approximately 25 through the multi-angle spectrum focusing mechanism and quasi-Newton dynamic step-size optimization, leading to a marked reduction in runtime and an improvement in computational efficiency of more than 40%.
  • Zha Feng, Zhang Chenyang, Liu Shengxue, Bu Haoyu, Zhang Quanchao
    Navigation and Control. 2026, 25(4): 29-40. https://doi.org/10.3969/j.issn.1674-5558.2026.04.003
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    With the continuous improvement in the accuracy of INS components, gravity disturbances have become a key factor limiting navigation precision. To clarify the different mechanisms by which vertical and horizontal gravitational disturbances affect INS performance, a quantitative analysis is conducted. Through theoretical derivation, a transfer function model for system errors related to gravity disturbances is established, and the validity of the theoretical model is verified using static base simulations. Vertical gravity disturbances have a limited effect on INS accuracy under height damping; in contrast, horizontal gravity disturbances can cause significant navigation errors in the INS. Taking a typical value of 50 mGal as an example, when both eastward and northward gravity disturbances act simultaneously, the INS latitude and longitude errors range from -786 m to 134 m, the magnitude of this effect is significantly greater than that of vertical disturbances of the same magnitude. Furthermore, simulations using gravity disturbance data from the Mariana Trench generated based on the XGM2019e model show that when the carrier passes through regions of abrupt horizontal disturbance, navigation errors experience a sudden change; however, once the vehicle has passed through the region of abrupt gravity disturbances, the errors in the inertial navigation system gradually return to normal levels.
  • Ning Haoze, Liu Tianci, Tan Wangda, Zhang Miaocun, Du Huajun, Zeng Xiangyuan
    Navigation and Control. 2026, 25(4): 41-53. https://doi.org/10.3969/j.issn.1674-5558.2026.04.004
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    To address the difficulty in detecting dim targets caused by strong noise and point-like target offsets in ground-based star images, a multi-stage joint preprocessing method for dim target detection in ground-based star images is proposed. Taking the camera focal length as a priori parameter, the proposed method requires no ground-truth labeled data of the targets. First, thin-plate spline transformation is utilized to suppress non-uniform atmospheric stray light, and overexposed bright stars are reconstructed under physical constraints of centroid alignment, stellar magnitude consistency, and equal area. Then, inter-frame registration is performed via the QUaternion ESTimator (QUEST) to achieve sequential star image stacking for random noise suppression. Subsequently, Gaussian process regression filtering combined with two-dimensional Otsu adaptive binarization is applied to extract targets and correct point-like target offsets. Finally, stars are eliminated through star catalog matching, and moving targets are identified via trajectory association and morphological verification. Simulation results based on real captured ground-based star images demonstrate that the proposed method can effectively improve the signal-to-clutter ratio and target recognition accuracy of star images under complex interference environments.
  • Jiang Yanxin, Xia Jinqiao, Sun Erkang, Zhang Dongxu
    Navigation and Control. 2026, 25(4): 54-63. https://doi.org/10.3969/j.issn.1674-5558.2026.04.005
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    The MEMS inertial measurement unit(MEMS-IMU) measures a vehicle’s real-time motion and calculates its attitude. However, significant error accumulates during the prolonged pure inertial navigation. To ensure the MEMS-IMU operates stably during attitude calculation, threshold parameters for the attitude and heading solution algorithm must be set. The random vibration and road tests data from the MEMS-IMU is used in this paper. Based on the attitude and heading solution algorithm model, the simulations analyze is carried out on the pitch and roll angles output by the MEMS. The feasible acceleration threshold range is 0.01~0.05 m/s2, and the angular velocity threshold range is 0.05~0.20 (°)/s. The selected threshold parameters of 0.01 m/s2 (acceleration) and 0.10 (°)/s(angular velocity) are validated through random vibration and road tests, meeting the specified 3 (°)/5 min accuracy requirement for carrier pure inertial navigation.
  • Wang Xilong, Wang Changyuan, Yang Songpu, Zhang Haoqian, Tang Minghao
    Navigation and Control. 2026, 25(4): 64-70. https://doi.org/10.3969/j.issn.1674-5558.2026.04.006
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    Due to the limitations of processing technology, constraints of processing conditions, and interference from environmental factors, hemispherical resonator gyroscopes (HRGs) exhibit poor zero-bias stability and insufficient output accuracy. To meet the alignment requirements of hemispherical resonator inertial navigation systems, this paper proposes an initial alignment method for a hemispherical resonator inertial navigation system operating in force-to-rebalance mode. The method is based on the relationship between the drift output of the hemispherical resonator gyroscope and the pattern angle, the system switches the operational modality of the hemispherical resonator during the alignment phase, thereby enhancing the syste’s alignment accuracy under static conditions. Experimental analysis comparing the alignment precision of the hemispherical resonator inertial navigation system under static conditions before and after mode switching demonstrates that the alignment accuracy has improved by a factor of five. This method effectively averages out the drift of HRGs during the alignment stage, significantly improving the initial alignment accuracy of the resonant inertial navigation system under static conditions.
  • Control Theory and Method
  • Hu Haoxuan, Wang Xinyu, Zhou Jiao, Deng Chao, Su Tenglong, Liang Shuang, Li Hui
    Navigation and Control. 2026, 25(4): 71-79. https://doi.org/10.3969/j.issn.1674-5558.2026.04.007
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    Fiber optic gyroscopes are utilized as the core sensors in inertial platform stabilization loops. However, under complex conditions involving intense vibration and shock, abnormal mode-hopping phenomena can be induced in the fiber optic gyroscope output, which compromises inertial platform stability and may even cause platform instability. To address platform instability resulting from fiber optic gyroscope mode-hopping, a nonlinear integral sliding mode control method is proposed for instability recovery through switching between fiber optic gyroscopes and MEMS gyroscopes in the inertial platform. Firstly, the mechanism of mode-hopping phenomena caused by nonlinear optical effects in fiber optic gyroscopes is analyzed, with instability criteria established based on key closed-loop state variable data characteristics. Secondly, a redundant sensor scheme is designed and an inertial platform dynamic model is developed to mitigate platform instability risks caused by mode-hopping under intense vibration. Finally, a nonlinear integral sliding mode controller is subsequently designed to achieve stable control during signal switching in the redundant system. Experimental results demonstrate that the average instability recovery time after mode-hopping is 0.71 s, enabling rapid instability recovery. This approach effectively enhances reliability for inertial platform and provides methodological guidance for meeting high robustness requirements in inertial platforms.
  • Zhu Kuibao, Chen Xin, Wang Xuehui, Ma Jian, Li Chuan
    Navigation and Control. 2026, 25(4): 80-90. https://doi.org/10.3969/j.issn.1674-5558.2026.04.008
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    The man-portable guided rocket adopts a strapdown seeker for target detection. The limited field of view(FOV) of the strapdown seeker restricts the trajectory, and its short detection range requires that the target detected during the level-flight phase lies within the guidance zone. To address the detection FOV constraints and the requirement for the detected target to be in the guidance zone during the level-flight phase of the man-portable guided rocket, a trajectory tracking algorithm based on adaptive super-twisting sliding mode is proposed. Firstly, the motion model and control model of the level-flight phase are established according to the rocket’s configuration. Then, the initial state at the start of the level-flight phase is obtained through a simulation platform, and the trajectory constraints are derived using the seeker’s detection range, FOV conditions, and the target’s coordinates in the launch frame. The Lyapunov stability criterion is used to prove that the system error is ultimately bounded and stable. Simulation results show that the trajectory of the rocket during the level-flight phase meets the detection constraints, and the target is within the guidance zone after the level-flight phase. Under varying initial conditions and model deviations, the mean error is improved by 26.4% compared with the fixed-gain super-twisting sliding mode controller, with excellent robustness, which provides a reference for the level-flight phase control of the man-portable guided rockets with low-trajectory profiles.
  • Yu Xinhui, Niu Yanxiong, Zhao Junhu, Zhou Jiao, Deng Chao, Su Tenglong, Liang Shuang, Li Hui
    Navigation and Control. 2026, 25(4): 91-100. https://doi.org/10.3969/j.issn.1674-5558.2026.04.009
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    The accuracy of core inertial components in an inertial platform is significantly degraded by temperature influences. Conventional single-point temperature control methods are insufficient to address the diverse optimal operating temperature requirements of different inertial components on the platform. A multi-input multi-output multi-point coordinated temperature control method for inertial platforms is proposed. Firstly, a mathematical model describing the heat transfer coupling characteristics between instruments inside the inertial platform is established based on thermodynamic analysis and simulation. Secondly, considering parameter uncertainties and disturbances caused by complex thermal environments, a distributed collaborative robust controller for multi-point temperature control using heterogeneous sensors is proposed. This controller enables different inertial components to operate at their respective optimal temperatures, thereby achieving their maximum precision. Finally, an experimental system is constructed to validate the effectiveness of the proposed method. The experimental results demonstrate that the designed distributed collaborative precision temperature control method, utilizing heterogeneous sensors, can achieve coordinated control of multiple target temperature points in the inertial platform. Under conditions where the ambient temperature change rate is not less than 0.05℃/min, the temperature fluctuation at each control point does not exceed 0.02℃ within 1 h after the inertial platform reaches a steady state, which effectively enhances the operational reliability of the inertial platform in complex environments.
  • Sensors and Actuators
  • Guo Rui, Wei Zhennan, Wang Ning, Wu Hongbo, Yi Guoxing
    Navigation and Control. 2026, 25(4): 101-108. https://doi.org/10.3969/j.issn.1674-5558.2026.04.010
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    Hemispherical resonator gyro operating in rate-integrating mode can detect angular rates over a wide rotation range. However, due to limitations in manufacturing processes, damping anisotropy errors are usually inevitable. To address the problems of zero-bias error and dynamic performance degradation in the output angular rate of rate-integrating hemispherical resonator gyro caused by damping anisotropy errors, an online self-calibration method of gyro damping anisotropy errors based on initiative precession control of standing wave is proposed. Firstly, starting from the nonideal motion equation of hemispherical resonator gyro, amplitude control quantity, quadrature control quantity for resonator, and circumferential distribution equations of standing wave drift error are derived. Secondly, with the control condition of constant standing wave initiative precession angular rate, a parameter identification algorithm based on the recursive least squares method is established, and the effectiveness of parameter identification is verified through experiments. Finally, an online compensation method for damping error is designed and verified through physical experiments. The experimental results show that the gyro damping parameter identification results can converge within 150 s with the assistance of offline calibration data, the steady-state value can reflect the actual damping distribution characteristics of the gyro within the range of ±5%. After compensation, the peak-to-peak drift error induced by the gyro’s fourth harmonic is reduced by 97.61%, and the damping anisotropy error is significantly suppressed. Under the condition of standing wave initiative precession, the zero-bias instability decreases by 85.68%, and the gyro noise characteristics reflected by the gyro Allan variance curve are significantly improved.
  • Chen Xiao, Zhang Zhijing, Fan Jingsong, Xiong Jian, Jin Xin, Li Erbo
    Navigation and Control. 2026, 25(4): 109-116. https://doi.org/10.3969/j.issn.1674-5558.2026.04.011
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    High-precision inertial instruments are among the most important instruments in the fields of aerospace, navigation and guidance, and their accuracy stability serves as a key indicator that directly affects their operational performance. To address the nonlinear deformation problem in high-precision inertial instruments caused by the nonlinear temperature-dependent variation of the static friction coefficient at contact interfaces under constantly changing ambient temperature conditions in space, a simulation and prediction model for accuracy variation patterns that accounts for the nonlinear friction characteristics of contact interfaces is proposed. Based on the nonlinear variation characteristics of temperature-static coefficient of friction at typical contact interface obtained from experimental testing, this model established a finite element simulation prediction model for the nonlinear deformation of high-precision inertial instrument assembly structures, predicted the patterns of structural nonlinear deformation caused by changes in the static coefficient of friction under temperature cycling conditions, and conducted optimization analysis of the magnitude and nonuniformity of threaded clamping forces in instrument assembly structures. The analysis results indicate that when the thread fastening force is 1 000 N and the difference in fastening force between the two sides is within 20 N, the nonlinear deformation caused by nonlinear friction can be effectively suppressed, thereby significantly mitigating the impact of ambient temperature fluctuations on the accuracy and stability of high-precision inertial instruments.