Title : ( A General Framework for Constrained Linear–Quadratic Control under Parametric Uncertainty )
Authors: Fatemeh Azizi , Sohrab Effati , Seyed Mohsen Miri ,
Full TextAbstract
This paper develops a discrete-time linear–quadratic control framework with box-constrained inputs under bounded parametric uncertainties. Using the discrete-time Pontryagin Maximum Principle, a closed-form state-feedback law is obtained via backward Riccati recursion, guaranteeing satisfaction of input constraints. Simulation results show that the closed-loop system remains stable and converges to the origin under moderate uncertainties, with control inputs staying within prescribed bounds. The proposed method offers a simple and practical solution without requiring a full robust control design.
Keywords
Necessary conditions; Parametric uncertainty; Pontryagin Minimum Principle; Feedback control
@inproceedings{paperid:1106737,
author = {Azizi, Fatemeh and Effati, Sohrab and Miri, Seyed Mohsen},
title = {A General Framework for Constrained Linear–Quadratic Control under Parametric Uncertainty},
booktitle = {8th National Seminar on Control and Optimization},
year = {2026},
location = {شیراز, IRAN},
keywords = {Necessary conditions; Parametric uncertainty; Pontryagin Minimum Principle; Feedback control},
}
%0 Conference Proceedings
%T A General Framework for Constrained Linear–Quadratic Control under Parametric Uncertainty
%A Azizi, Fatemeh
%A Effati, Sohrab
%A Miri, Seyed Mohsen
%J 8th National Seminar on Control and Optimization
%D 2026
