FLOC 2018: FEDERATED LOGIC CONFERENCE 2018
Algorithm for Bernstein Polynomial Control Design

Authors: Tareq Hamadneh and Rafal Wisniewski

Paper Information

Title:Algorithm for Bernstein Polynomial Control Design
Authors:Tareq Hamadneh and Rafal Wisniewski
Proceedings:ADHS Full papers
Editor: Alessandro Abate
Keywords:aaa, bbb, ccc
Abstract:

ABSTRACT. This paper considers control synthesis for polynomial control systems. The developed method leans upon Lyapunov stability and Bernstein certificates of positivity. We strive to develop an algorithm that computes a polynomial control and a polynomial Lyaponov function in the simplicial Bernstein form. Subsequently, we reduce the control synthesis problem to a finite number of evaluations of a polynomial within Bernstein coefficient bounds representing controls and Lyapunov functions. As a consequence, the equilibrium is asymptotically stable with this control.

Pages:7
Talk:Jul 13 14:00 (Session 87A: Control Synthesis)
Paper: