2014/12/18 by Fei Sun, Sun, Fei, Kamran Turkoglu +1
Engineering · Physics and Astronomy · #Adaptive Control of Nonlinear Systems #Advanced Algorithms and Applications #Chaos control and synchronization #FOS: Mathematics #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1412.6179
openalex publication_date 2014/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, based on real-time nonlinear receding horizon control methodology, a novel approach is developed for parameter estimation of time invariant and time varying nonlinear dynamical systems in chaotic environments. Here, the parameter estimation problem is converted into a family of finite horizon optimization control problems. The corresponding receding horizon control problem is then solved numerically, in real-time, without recourse to any iterative approximation methods by introducing the stabilized continuation method and backward sweep algorithm. The significance of this work lies in its real-time nature and its powerful results on nonlinear chaotic systems with time varying parameters. The effective nature of the proposed method is demonstrated on two chaotic systems, with time invariant and time varying parameters. At the end, robustness performance of the proposed algorithm against bounded noise is investigated.