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Auxiliary-system-based composite adaptive optimal backstepping control for uncertain nonlinear guidance systems with
Jingliang Sun1, Chunsheng Liu2
1School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China; Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education China, Beijing 100081, China.
This study introduces a new control method for missile guidance systems to improve accuracy when tracking maneuvering targets under strict input limits. By combining advanced mathematical techniques, the system effectively manages disturbances and ensures stable performance while keeping control signals within safe operational boundaries.
Area of Science:
- Guidance systems research within aerospace engineering
- Nonlinear control theory and auxiliary-system-based adaptive optimization
Background:
No prior work has fully resolved the challenges posed by acceleration saturation during high-speed target interception. Existing guidance frameworks often struggle to maintain precision when faced with unpredictable target maneuvers. That uncertainty drove the development of more robust tracking architectures. Prior research has shown that traditional methods frequently fail to handle strict input constraints effectively. This gap motivated the exploration of advanced adaptive control strategies for nonlinear systems. Researchers have long sought to mitigate the impact of external disturbances on missile trajectory accuracy. Previous studies have highlighted the limitations of standard proportional navigation in complex operational environments. The current landscape of aerospace control requires more sophisticated approaches to ensure reliable performance under varying conditions.
Purpose Of The Study:
This study aims to develop a composite adaptive optimal backstepping control strategy for uncertain nonlinear guidance systems. The primary objective is to address the challenges of acceleration saturation and unpredictable target maneuvers. Researchers seek to resolve the tracking issues inherent in constrained nonlinear environments. The motivation stems from the need to improve interception accuracy in complex aerospace applications. This work explores how to maintain stability when control inputs face strict physical boundaries. The authors intend to provide a robust solution that minimizes a predefined cost function. By designing a dynamic auxiliary system, they aim to compensate for the effects of constrained inputs. The investigation focuses on ensuring that all system signals remain bounded during the entire guidance process.
Main Methods:
The review approach focuses on a composite architecture integrating feedforward and feedback control loops. Researchers developed a dynamic auxiliary system to address input saturation during the tracking process. A nonlinear disturbance observer was constructed to isolate and neutralize external environmental perturbations. The design incorporates parameter adaptive updating laws to identify unknown system functions in real-time. Simulation trials were conducted to evaluate the performance of this control strategy against established benchmarks. The study compares the proposed technique with nonsingular terminal sliding mode and proportional navigation methods. All signals within the closed-loop system were analyzed to ensure they remain within stable, predefined limits. The methodology emphasizes the minimization of a specific cost function to optimize the interception trajectory.
Main Results:
The proposed method demonstrates superior robustness compared to nonsingular terminal sliding mode and proportional navigation techniques. Simulation results confirm that the composite architecture effectively maintains tracking precision despite acceleration saturation. The adaptive updating laws successfully estimate unknown functions, ensuring stable performance throughout the interception. All closed-loop signals remain bounded, satisfying the stability requirements defined by the researchers. The predefined cost function is consistently minimized, indicating efficient control performance under constrained conditions. The nonlinear disturbance observer provides effective mitigation of external perturbations, enhancing overall system reliability. Comparative analysis shows that the new approach handles target maneuvers more effectively than traditional guidance models. These findings validate the efficacy of the integrated feedforward and feedback control design in complex scenarios.
Conclusions:
The authors propose a composite architecture that effectively manages complex nonlinear tracking tasks. This approach ensures that all closed-loop signals remain within stable bounds during the entire interception process. The researchers demonstrate that minimizing the predefined cost function is achievable through their recurrent control design. Their findings suggest that the integration of a disturbance observer significantly enhances system resilience against external interference. The study confirms that control inputs successfully avoid violating established operational boundaries. The proposed method exhibits superior robustness when compared to nonsingular terminal sliding mode techniques. The evidence indicates that this strategy outperforms traditional proportional navigation in simulated interception scenarios. These results validate the effectiveness of the adaptive updating laws in estimating unknown system functions online.
Frequently Asked Questions
The researchers propose a recurrent architecture combining feedforward backstepping and feedback optimal control. This mechanism utilizes a dynamic auxiliary system to compensate for input constraints, while a nonlinear disturbance observer mitigates external interference, ensuring the system maintains stability and tracking precision during target interception.
The authors utilize a nonlinear disturbance observer to counteract external interference. This component estimates and rejects perturbations in real-time, allowing the guidance system to maintain its trajectory despite the presence of unknown environmental factors or target maneuvers that would otherwise degrade performance.
A dynamic auxiliary system is necessary to manage acceleration saturation. By incorporating this component, the controller prevents the guidance signal from exceeding physical hardware limits, ensuring the missile remains responsive and stable even when the required maneuvers approach the maximum allowable control effort.
Parameter adaptive updating laws serve to estimate unknown functions online. This data-driven approach allows the controller to adjust its parameters dynamically, ensuring the guidance system adapts to changing conditions or model uncertainties without requiring prior knowledge of all system dynamics.
The researchers measure the robustness of their method by comparing it against nonsingular terminal sliding mode and proportional navigation techniques. The simulation results indicate that the proposed approach maintains better tracking accuracy and stability than these established methods when subjected to identical saturation and maneuver conditions.
The authors claim that their composite architecture guarantees the boundedness of all closed-loop signals. They further assert that this design ensures the minimization of a predefined cost function, providing a mathematically rigorous framework for optimizing missile-target interception performance under constrained conditions.
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