Open research questions in Adaptive Control of Nonlinear Systems
168 gap statements mined from Adaptive Control of Nonlinear Systems papers in our 4.5M-paper local library, which holds 3,658 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.
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What the literature leaves open
Existing APF-based formation-control approaches may provide insufficient geometric information during close-range maneuvers. Prior methods often rely on a single reference point or inter-center distance, which may not capture the complexity of close-range interactions.
Elliptical Disk-Based Collision Avoidance for Formation Tracking Control of Underactuated Surface Vessels Under Input Saturation · 2026 · DOIPrior approaches fail to provide an explicit guarantee of finite-time convergence. Prior approaches have limitations in addressing singularity problems. There is a need for a novel approach to address the control problem of morphing aircraft during continuous morphing.
Adaptive Fixed-Time Tracking Control for Morphing Aircraft with Flexible Prescribed Performance Under Unsteady Aerodynamics Effects · 2026 · DOILarge correction gains in continuous-discrete high-gain observers may induce the peaking phenomenon during transient stages. Prior observers do not address the issue of transient peaking phenomenon. There is a need for an observer that can prevent transient high-gain peaking effects and block error propagation.
The need for effective control techniques for quadcopters in the presence of uncertainties and disturbances. The lack of a comprehensive survey on robust quadcopter control techniques. The need for a detailed study of different SMC designs to achieve various objectives for the UAV.
Parameter tuning and lack of guaranteed optimality of PID controllers. The need for real-time estimation and compensation of modeling errors and wind disturbances.
Combined Robust Control for Quadrotor UAV Using Model Predictive Control and Super-Twisting Algorithm · 2025 · DOIThe need to contend with uncertainties and disturbances, such as parameter perturbations and noise. The requirement to handle complex task scenarios, such as interception and no-fly zone avoidance.
A Robust Control Method for the Trajectory Tracking of Hypersonic Unmanned Flight Vehicles Based on Model Predictive Control · 2025 · DOIFurther research could investigate the application of the proposed method to other types of vehicles. Future studies could explore the use of other advanced control methods for hypersonic flight vehicles. Additional research could focus on experimental validation of the proposed method.
A Robust Control Method for the Trajectory Tracking of Hypersonic Unmanned Flight Vehicles Based on Model Predictive Control · 2025 · DOIThe lack of a unified approach to control dual-system hybrid UAVs. The need for a controller that can handle nonlinear dynamics and variable actuators. The requirement for a control system that can reject external disturbances and uncertainties in model parameters.
Traditional motion planning methods have limitations in dynamic environments. APF-based control barrier functions focus solely on obstacle proximity and distance-based methods oversimplify obstacle geometries. There is a need for a robust MPC framework that can handle static and dynamic obstacles and ensure safety and satisfy kinematic constraints.
Safe and Optimal Motion Planning for Autonomous Underwater Vehicles: A Robust Model Predictive Control Framework Integrating Fast Marching Time Objectives and Adaptive Control Barrier Functions · 2025 · DOIThe traditional crowned pig algorithm has limited convergence efficiency. The lack of anti-interference capabilities in high-precision trajectory-tracking control of quadrotor UAVs is a significant challenge. The underactuated characteristics and strong non-linear dynamic models of quadrotor UAVs render high-precision trajectory tracking and robust control challenging.
High-Precision Trajectory-Tracking Control of Quadrotor UAVs Based on an Improved Crested Porcupine Optimiser Algorithm and Preset Performance Self-Disturbance Control · 2025 · DOINeed for a control scheme that can adapt to changing conditions without requiring retuning.
An Improved Hybrid MRAC–LQR Control Scheme for Robust Quadrotor Altitude and Attitude Regulation · 2025 · DOIThe existing control methods for unmanned airships may not be able to ensure strict adherence to prescribed performance bounds in the presence of unknown disturbances. There is a need for advanced trajectory tracking control methods that can address the complex multivariable dynamical systems and susceptibility to unknown disturbances of unmanned airships.
Error-Constrained Fixed-Time Synchronized Trajectory Tracking Control for Unmanned Airships with Disturbances · 2025 · DOIEmpirical PID tuning can be challenging and may not achieve multiple frequency-domain and performance targets simultaneously.
Loop Shaping-Based Attitude Controller Design and Flight Validation for a Fixed-Wing UAV · 2025 · DOIThe primary focus will be on the development of full-state constrained controllers for unmanned airships using a partially synchronized control scheme, which will ensure prioritized convergence of attitude errors, followed by precise position tracking.
Error-Constrained Fixed-Time Synchronized Trajectory Tracking Control for Unmanned Airships with Disturbances · 2025 · DOIInvestigating the application of the proposed NDI framework to other types of systems, - Developing more advanced disturbance observers and tracking controllers, - Conducting experimental validations of the proposed control…
A Robust Attitude Tracking Controller for Spacecraft Based on Singularity-Free Quaternion Nonlinear Dynamic Inversion Framework · 2026 · DOIThe lack of a robust and efficient control system for quadrotor drones, - The need for a control system that can mitigate chattering and enhance system robustness, - The requirement for a control system that can ensure precise trajectory tracking and stable attitude…
Super-Twisting Algorithm Backstepping Adaptive Terminal Sliding-Mode Tracking Control of Quadrotor Drones Subjected to Faults and Disturbances · 2025 · DOISliding mode predictive control (SMPC) represents a novel fusion of SMC and MPC, - Machine learning techniques, like neural networks or reinforcement learning, can be applied to design smoother control laws, - Exploring model-free controller designs for quadcopters could provide a promising platform for further research…
Experimental validation of the proposed control framework, - Application of the proposed control framework to other types of UAVs, - Investigation of the effects of parameter uncertainties on the system's…
Disturbance-Observer-Based Fixed-Time Backstepping Control for Quadrotors with Input Saturation and Actuator Failure · 2025 · DOIEnhance the robustness of the proposed method against unmatched disturbances such as significant time delays and sensor noise. Apply the designed controller to an actual system and evaluate its performance while taking computational cost into account.
Combined Robust Control for Quadrotor UAV Using Model Predictive Control and Super-Twisting Algorithm · 2025 · DOIThe present work focuses on the online fine-tuning of a PD controller, - Several important research directions remain open, - A formal robustness-and-stability analysis of the RL-tuned control system…
Conduct a formal robustness-and-stability analysis of the RL-tuned control system, - Deploying reinforcement learning (RL)-based controllers on real-world…
Further research could focus on applying the loop-shaping methodology to other axes, - Investigating the application of the methodology to other types of UAVs or aircraft, - Examining the potential for online tuning or adaptation of the loop-shaping…
Loop Shaping-Based Attitude Controller Design and Flight Validation for a Fixed-Wing UAV · 2025 · DOIIncorporating hydrodynamic models to enhance the robustness and applicability of the algorithm, - Extending the methodology to 3D environments, - Adapting the Fast Marching Method to 3D grids and modifying the kinematic…
Safe and Optimal Motion Planning for Autonomous Underwater Vehicles: A Robust Model Predictive Control Framework Integrating Fast Marching Time Objectives and Adaptive Control Barrier Functions · 2025 · DOIExperimental validation of the proposed controller. Application of the hybrid MRAC–LQR control scheme to other types of unmanned aerial vehicles. Investigation of the controller's performance in different environmental conditions.
An Improved Hybrid MRAC–LQR Control Scheme for Robust Quadrotor Altitude and Attitude Regulation · 2025 · DOIHighly nonlinear and coupled dynamics of AUVs. Uncertain hydrodynamic parameters and unknown exogenous disturbances. Actuator magnitude and rate saturations reducing the effectiveness of traditional control methods.
Finite-Time Path-Following Control of Underactuated AUVs with Actuator Limits Using Disturbance Observer-Based Backstepping Control · 2025 · DOI
Most-cited papers in Adaptive Control of Nonlinear Systems
- An Overview of Finite/Fixed-Time Control and Its Application in Engineering Systems · IEEE/CAA Journal of Automatica Sinica · 2022 · 487 citations
- High-Order Control Barrier Functions · IEEE Transactions on Automatic Control · 2021 · 458 citations
- Adaptive Prescribed-Time Control for a Class of Uncertain Nonlinear Systems · IEEE Transactions on Automatic Control · 2021 · 418 citations
- Adaptive Asymptotic Tracking With Global Performance for Nonlinear Systems With Unknown Control Directions · IEEE Transactions on Automatic Control · 2021 · 412 citations
- Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems · IEEE Transactions on Fuzzy Systems · 2021 · 386 citations
- A Review of Quadrotor Unmanned Aerial Vehicles: Applications, Architectural Design and Control Algorithms · Journal of Intelligent & Robotic Systems · 2022 · 328 citations
- Time-varying IBLFs-based adaptive control of uncertain nonlinear systems with full state constraints · Automatica · 2021 · 309 citations
- Adaptive Neural Network Control for a Class of Nonlinear Systems With Function Constraints on States · IEEE Transactions on Neural Networks and Learning Systems · 2021 · 305 citations
- Adaptive Prescribed Performance Control of A Flexible-Joint Robotic Manipulator With Dynamic Uncertainties · IEEE Transactions on Cybernetics · 2021 · 301 citations
- Unmanned Aerial Vehicles: Control Methods and Future Challenges · IEEE/CAA Journal of Automatica Sinica · 2022 · 300 citations
Most recent work
- Adaptive Sliding Mode Control for Uncertain Tilting Quadrotors Using Randomized Feedforward Neural Networks · International Journal of Robust and Nonlinear Control · 2026
- Fixed-time adaptive fault-tolerant control of a multi-mode VTOL UAV with variable prescribed performance boundaries under random disturbances · ISA Transactions · 2026
- Fixed-time adaptive smooth control with relaxed performance constraints for a canard rotor/wing UAV subject to aerodynamic interferences and actuator faults · Aerospace Science and Technology · 2026
- A Novel Composite Observer-Based Adaptive Predefined-Time Control for Robotic Manipulators With Deception Attacks and Full-State Constraints · IEEE Transactions on Consumer Electronics · 2026
- Fixed‐Time Self‐Triggered Adaptive Neural Practically Tracking Control for Nonlinear Systems With Predefined Output Constraints · International Journal of Robust and Nonlinear Control · 2026
- Design and depth control of a beaver-inspired underwater robot based on center-of-mass adjustment · Ocean Engineering · 2026
- Data-driven event-triggered heading control for autonomous surface vehicles based on an adaptive observer · Ocean Engineering · 2026
- Design and dynamic characteristic analysis of NTSM with variable gains for full-parameter perturbation systems: A case of DC-DC converters · ISA Transactions · 2026
- Hyperchaotic Privacy-Preserving Cooperative Adaptive Control With Application to Multimotor Systems · IEEE/ASME Transactions on Mechatronics · 2026
- Robust adaptive integral fast sliding mode control for servo motors · Mechatronics · 2026
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