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This paper proposes a novel framework for safety-critical optimal trajectory tracking in nonlinear systems based on the state-dependent Riccati equation (SDRE) methodology. By embedding barrier states into the system dynamics, the proposed…

Systems and Control · Electrical Eng. & Systems 2025-09-29 Yazdan Batmani , Saber Omidi

The State-Dependent Riccati Equation (SDRE) technique generalizes the classical algebraic Riccati formulation to nonlinear systems by designing an input to the system that optimally(suboptimally) regulates system states toward the origin…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Arya Rashidinejad Meibodi , Mahbod Gholamali Sinaki , Khalil Alipour

This paper introduces a nonlinear optimal guidance framework for guiding a pursuer to intercept a moving target, with an emphasis on real-time generation of optimal feedback control for a nonlinear optimal control problem. Initially,…

Optimization and Control · Mathematics 2025-04-11 Han Wang , Zheng Chen

An optimized variant of the State Dependent Riccati Equations (SDREs) approach for nonlinear optimal feedback stabilization is presented. The proposed method is based on the construction of equivalent semilinear representations associated…

Optimization and Control · Mathematics 2022-07-20 Sergey Dolgov , Dante Kalise , Luca Saluzzi

Precise motion control of underactuated surface vessels is a crucial task in various maritime applications. In this work, we develop a nonlinear motion control strategy for surface vessels inspired by the pursuit guidance philosophy. Any…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Ram Milan Kumar Verma , Shashi Ranjan Kumar , Hemendra Arya

The optimal cooperative guidance in the nonlinear setting for intercepting a target by multiple pursuers is studied in the paper. As certain relative angles can improve observability, the guidance command is required to cooperatively…

Optimization and Control · Mathematics 2024-01-17 Han Wang , Zheng Chen

This paper addresses the three-dimensional path-following guidance problem for unmanned aerial vehicles under explicit actuator constraints. Unlike conventional approaches that assume unbounded control inputs or handle saturation…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Vinay Kathiriya , Saurabh Kumar , Shashi Ranjan Kumar

This paper introduces a continuous-time constrained nonlinear control scheme which implements a model predictive control strategy as a continuous-time dynamic system. The approach is based on the idea that the solution of the optimal…

Systems and Control · Computer Science 2017-09-20 Marco M. Nicotra , Dominic Liao-McPherson , Ilya V. Kolmanovsky

The paper describes a receding horizon control design framework for continuous-time stochastic nonlinear systems subject to probabilistic state constraints. The intention is to derive solutions that are implementable in real-time on…

Systems and Control · Computer Science 2012-11-20 Shridhar K. Shah , Herbert G. Tanner , Chetan D. Pahlajani

In this paper, two cooperative guidance laws based on two-point boundary value are designed to deal with the problem of cooperative encirclement and simultaneous attack under condition of both known target acceleration and unknown target…

Systems and Control · Electrical Eng. & Systems 2019-06-27 Xiaoqian Wei , Jianying Yang , Xiangru Fan

This paper presents an input-constrained nonlinear guidance law to address the problem of intercepting a stationary target in contested environments with multiple defending agents. Contrary to prior approaches that rely on explicit…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Praveen Kumar Ranjan , Abhinav Sinha , Yongcan Cao

We present a novel technique to drive a nonlinear system to reach a target state under input constraints. The proposed controller consists only of piecewise constant inputs, generated from a simple linear driftless approximation to the…

Optimization and Control · Mathematics 2025-09-09 Ram Padmanabhan , Melkior Ornik

We present a novel guidance law that uses observations consisting solely of seeker line of sight angle measurements and their rate of change. The policy is optimized using reinforcement meta-learning and demonstrated in a simulated terminal…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Brian Gaudet , Roberto Furfaro , Richard Linares

This paper presents a nonlinear guidance scheme designed to achieve precise interception of stationary targets at a pre-specified impact time. The proposed strategy essentially accounts for the constraints imposed by the interceptor's…

Systems and Control · Electrical Eng. & Systems 2025-06-25 Ashok Samrat R , Swati Singh , Shashi Ranjan Kumar

This paper presents a new model-based algorithm that computes predictive optimal controls on-line and in closed loop for traditionally challenging nonlinear systems. Examples demonstrate the same algorithm controlling hybrid impulsive,…

Robotics · Computer Science 2017-09-04 Alex Ansari , Todd Murphey

Approximate dynamic programming has been investigated and used as a method to approximately solve optimal regulation problems. However, the extension of this technique to optimal tracking problems for continuous time nonlinear systems has…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Huyen Dinh , Shubhendu Bhasin , Warren Dixon

This work presents proximally optimal predictive control algorithm, which is essentially a model-based lateral controller for steered autonomous vehicles that selects an optimal steering command within the neighborhood of previous steering…

Robotics · Computer Science 2023-05-16 Chinmay Vilas Samak , Tanmay Vilas Samak , Sivanathan Kandhasamy

This paper addresses the stabilization of dynamical systems in the infinite horizon optimal control setting using nonlinear feedback control based on State-Dependent Riccati Equations (SDREs). While effective, the practical implementation…

Numerical Analysis · Mathematics 2025-09-12 Luca Saluzzi , Maria Strazzullo

This paper proposes a nonlinear control architecture for flexible aircraft simultaneous trajectory tracking and load alleviation. By exploiting the control redundancy, the gust and maneuver loads are alleviated without degrading the…

Systems and Control · Electrical Eng. & Systems 2021-05-28 Xuerui Wang , Tigran Mkhoyan , Roeland De Breuker

In this paper the problem of guidance formulation for autonomous soft landing of unmanned aerial vehicles on stationary, moving, or accelerating / maneuvering ground vehicles at desired approach angles in both azimuth and elevation is…

Systems and Control · Electrical Eng. & Systems 2020-10-01 Sashank Modali , Satadal Ghosh , Sujit P. B
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