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Composite adaptive dynamic programming for missile interception systems with multiple constraints and less sensor

Wenguang Zhang1, Wenjun Yi1

  • 1National Key Laboratory Transient Physics, Nanjing University of Science and Technology, Nanjing, 210094, China.

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|February 6, 2021
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Summary
This summary is machine-generated.

This study introduces a new control method for missiles that need to hit targets while dealing with limited sensor data and strict operational limits. By using a smart observer to estimate missing information and a special mathematical function to handle constraints, the system maintains stability even when facing external disturbances. The researchers successfully tested this approach through computer simulations, showing it effectively guides missiles under challenging conditions.

Keywords:
Adaptive backsteppingControl saturationMissle guidanceNeural networksOptimal controlState constraintnonlinear control systemsguidance and controldisturbance estimationstate constraints

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Area of Science:

  • Aerospace engineering and Adaptive dynamic programming applications
  • Control theory in nonlinear systems engineering

Background:

Missile guidance systems often face significant challenges when operating with limited sensor feedback during high-stakes interception missions. Prior research has shown that maintaining stability in nonlinear systems requires precise state information for effective control. That uncertainty drove the need for robust estimation techniques capable of handling partially unmeasurable variables. No prior work had resolved the conflict between strict operational constraints and reduced sensor availability in these complex environments. Existing frameworks frequently struggle to suppress external disturbances while simultaneously adhering to input and state limitations. This gap motivated the development of advanced mathematical approaches to ensure reliable performance under adverse conditions. Researchers have long sought to bridge the divide between theoretical control stability and practical implementation requirements. These persistent difficulties highlight the necessity for innovative strategies that prioritize both accuracy and operational efficiency in modern aerospace applications.

Purpose Of The Study:

The aim of this study is to develop an integrated guidance and control framework for missiles that operates effectively with limited sensor availability. Researchers seek to address the stabilization problem in uncertain nonlinear systems that are subject to both state and input constraints. The problem is complicated by the presence of partially unmeasurable states, which hinders traditional control approaches. The authors intend to transform these complex systems into a more manageable non-strict feedback form. They also aim to incorporate a disturbance estimator to counteract external forces that typically degrade missile accuracy. By employing advanced mathematical functions, the team hopes to ensure that all operational limits are strictly respected during flight. The motivation stems from the need to improve missile performance in environments where sensor hardware is restricted or unreliable. This research seeks to provide a rigorous, stable, and optimal solution for modern aerospace interception requirements.

Main Methods:

Review Approach involves transforming the partially unmeasurable nonlinear system into a non-strict feedback structure to simplify the mathematical modeling process. The researchers design an adaptive observer to estimate the full state vector from limited sensor inputs. A disturbance estimator is integrated into this observer to mitigate the impact of external forces on the system. The team employs a Barrier Lyapunov Function to enforce strict state and input constraints during the flight trajectory. An auxiliary system is constructed to convert the stabilization problem into an equivalent affine nonlinear control task. The authors then apply adaptive dynamic programming theory to derive an optimal controller for the guidance system. Lyapunov theory serves as the foundation for proving the stability of the entire closed-loop architecture. Finally, the researchers execute numerical simulations to evaluate the performance and effectiveness of their proposed control strategy.

Main Results:

Key Findings From the Literature demonstrate that the proposed control strategy effectively stabilizes the uncertain nonlinear system under multiple constraints. The adaptive observer successfully approximates the unmeasurable states, allowing the missile to function with reduced sensor requirements. The disturbance estimator provides a robust mechanism to suppress external interference, ensuring consistent performance throughout the interception phase. By utilizing the Barrier Lyapunov Function, the system maintains all state and input variables within their predefined safety boundaries. The transformation into an affine nonlinear form enables the adaptive dynamic programming controller to achieve optimal guidance results. Simulation results validate that the system remains stable even when subjected to complex, non-strict feedback dynamics. The findings indicate that the integrated approach outperforms traditional methods that lack these specific constraint-handling capabilities. This evidence confirms that the proposed architecture is a viable solution for modern missile guidance challenges.

Conclusions:

Synthesis and Implications indicate that the proposed control framework successfully stabilizes uncertain nonlinear systems despite significant sensor limitations. The authors demonstrate that integrating disturbance estimation with adaptive observers allows for reliable state approximation in non-strict feedback environments. Their work confirms that employing barrier functions effectively manages multiple operational constraints during complex interception maneuvers. The researchers propose that this combined approach reduces the stabilization problem to a more manageable affine control task. Evidence from their simulations suggests that the strategy maintains system stability even when external disturbances are present. The authors conclude that their adaptive dynamic programming method provides a robust solution for missile guidance challenges. This study offers a viable pathway for enhancing performance in systems where full state measurement is not feasible. The findings underscore the potential of combining observer-based estimation with optimal control theory to improve mission success rates.

The researchers propose an adaptive observer that approximates missing state variables while a disturbance estimator suppresses external interference. This mechanism allows the missile to maintain stability despite having only partial sensor data available for the guidance system.

The authors utilize a Barrier Lyapunov Function to enforce strict operational limits on both state and input variables. This mathematical tool prevents the system from violating safety boundaries during the interception process, unlike standard controllers that may ignore these physical constraints.

An auxiliary system is necessary to handle the complex non-strict feedback form of the nonlinear equations. This component transforms the stabilization problem into an affine control task, which is more straightforward to solve using adaptive dynamic programming techniques.

The adaptive dynamic programming theory acts as the core optimizer for the controller. It calculates the ideal control inputs to ensure the missile reaches its target efficiently, whereas traditional methods might fail to optimize performance under such high levels of uncertainty.

The researchers perform computer simulations to validate their control strategy. These tests measure the system's ability to stabilize the missile and hit targets while adhering to input constraints, comparing the proposed method against theoretical stability benchmarks.

The authors claim that their approach significantly reduces the reliance on extensive sensor hardware. They propose that this design is particularly advantageous for aerospace systems where weight, cost, or technical limitations restrict the number of sensors that can be installed.