[HTML][HTML] A generalization of Bellman's equation with application to path planning, obstacle avoidance and invariant set estimation

M Jones, MM Peet - Automatica, 2021 - Elsevier
Abstract The standard Dynamic Programming (DP) formulation can be used to solve Multi-
Stage Optimization Problems (MSOP's) with additively separable objective functions. In this …

Infinite-dimensional sums-of-squares for optimal control

E Berthier, J Carpentier, A Rudi… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
In this paper, we introduce an approximation method to solve an optimal control problem via
the Lagrange dual of its weak formulation, which applies to problems with an unknown, non …

Polynomial approximation of value functions and nonlinear controller design with performance bounds

M Jones, MM Peet - ar** under-approximations of reachable
sets due to their potential applications in control synthesis and verification. In this letter, we …

Local Stability Analysis for Sensor-based Inexact Feedback Linearization

T Cunis - CEAS EuroGNC 2022, 2022 - eurognc.ceas.org
Sensor-based feedback laws such as incremental nonlinear dynamic inversion (INDI)
applied to flight control tasks have been successfully evaluated in experiments. When …

[BOOK][B] Robustness in Nonlinear and Learning Based Control

H Yin - 2021 - search.proquest.com
In this dissertation we propose a control synthesis and analysis framework for nonlinear, and
neural network (NN) controlled systems with robustness guarantees. We quantify systems' …