Profile-tracking-based gain-varying backstepping guidance law for maneuvering target interception with input
Jingliang Sun1, Mengmeng Wang2, Zihan Wang2
1School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China; Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, Beijing 100081, China; Beijing Institute of Technology Chongqing Innovation Center, Chongqing 401135, China.
ISA Transactions
|November 18, 2025
Summary
This study introduces a novel guidance law for missiles to intercept maneuvering targets, ensuring a precise impact angle even with system limitations. The developed method offers effective trajectory control and guaranteed stability.
Area of Science:
- Aerospace Engineering
- Control Systems Theory
- Robotics
Background:
- Guidance systems face challenges with maneuvering targets and input saturation.
- Achieving precise impact angle control is critical for interception effectiveness.
Purpose of the Study:
- To develop a profile-tracking-based, gain-varying backstepping guidance law.
- To address impact angle constraints for maneuvering targets with input saturation.
Main Methods:
- Formulated a range-elapsed-based polynomial function for reference line-of-sight angle profile.
- Developed a gain-varying finite-time constrained backstepping guidance law.
- Designed a tracking-error-based varying gain to counter target maneuvers.
Main Results:
- The reference profile can be determined analytically without numerical optimization.
- The proposed guidance law effectively tracks the designed profile.
- Theoretical guarantees for the closed-loop system stability were established.
Conclusions:
- The developed guidance law is effective for impact angle constrained guidance.
- Comparative simulations confirm the method's advantages over existing approaches.
Related Concept Videos
01:26Feedback control systems
676
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
676
01:24PI Controller: Design
1.1K
Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
1.1K
01:07Time-Domain Interpretation of PD Control
355
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Consider the example of control of motor torque. Initially, a positive...
355
01:13Linear Momentum in Control Volume
1.3K
Newton's second law is applied to obtain the linear momentum in a control volume in a fluid system. According to this law, the rate of change of linear momentum is equal to the sum of external forces acting on the system. When a control volume matches the fluid system at a specific moment, the forces acting on both are identical. Reynolds transport theorem helps explain this by breaking down the system's linear momentum into two components: the rate of change of linear momentum within...
1.3K
01:22Controller Configurations
339
Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...
339
01:23Principle of Linear Impulse and Momentum for a Single Particle: Problem Solving
967
Consider a wooden box and a cylinder of known masses m1 and m2, respectively, hanging from a ceiling with the help of a massless pulley system.
967