MATEC Web of Conferences | VOL. 362

To the dynamic reconstruction of sliding controls

Publication Date Jan 1, 2022


The paper is devoted to the problem of dynamic control reconstruction for controlled deterministic affine systems. The reconstruction has to be carried out in real time using known discrete inaccurate measurements of an observed trajectory of the system. This trajectory is generated by an unknown measurable control with values in a given compact set. A correct formulation of the reconstruction problem for the case of non-convex control restriction set is given. An approach to solving this problem is suggested. This approach is based on auxiliary variational problems with non-classical convex-concave Tikhonov-regularized integral cost. A numerical method for solving dynamic control reconstruction problem is suggested. It reduces the reconstruction problem to solving systems of linear ordinary differential equations. Matching conditions for the approximation parameters (accuracy and step of the known measurements and a Tikhonov regularizing parameter) such that the constructed approximations converge to the solution are obtained. Results of numerical simulation are exposed to illustrate the theory.


Auxiliary Variational Problems Dynamic Reconstruction Reconstruction Problem Results Of Numerical Simulation Systems Of Linear Differential Equations Systems Of Ordinary Differential Equations Compact Set Systems Of Linear Equations Non-convex Set Systems Of Differential Equations

Round-ups are the summaries of handpicked papers around trending topics published every week. These would enable you to scan through a collection of papers and decide if the paper is relevant to you before actually investing time into reading it.

Climate change Research Articles published between Jan 23, 2023 to Jan 29, 2023

R DiscoveryJan 30, 2023
R DiscoveryArticles Included:  3

Climate change adaptation has shifted from a single-dimension to an integrative approach that aligns with vulnerability and resilience concepts. Adapt...

Read More

Coronavirus Pandemic

You can also read COVID related content on R COVID-19

R ProductsCOVID-19


Creating the world’s largest AI-driven & human-curated collection of research, news, expert recommendations and educational resources on COVID-19

COVID-19 Dashboard

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on “as is” basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The Copyright Law.