2017/01/17 by Burak Demi̇rel, Euhanna Ghadimi, Demirel, Burak +6
Computer Science · Engineering · Mathematics · #Advanced Control Systems Optimization #Advanced Optimization Algorithms Research #FOS: Electrical engineering #Optimization and Variational Analysis #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1701.04871
openalex publication_date 2017/01/17 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
We consider a finite-horizon linear-quadratic optimal control problem where\nonly a limited number of control messages are allowed for sending from the\ncontroller to the actuator. To restrict the number of control actions computed\nand transmitted by the controller, we employ a threshold-based event-triggering\nmechanism that decides whether or not a control message needs to be calculated\nand delivered. Due to the nature of threshold-based event-triggering\nalgorithms, finding the optimal control sequence requires minimizing a\nquadratic cost function over a non-convex domain. In this paper, we firstly\nprovide an exact solution to the non-convex problem mentioned above by solving\nan exponential number of quadratic programs. To reduce computational\ncomplexity, we, then, propose two efficient heuristic algorithms based on\ngreedy search and the Alternating Direction Method of Multipliers (ADMM)\nmethod. Later, we consider a receding horizon control strategy for linear\nsystems controlled by event-triggered controllers, and we also provide a\ncomplete stability analysis of receding horizon control that uses finite\nhorizon optimization in the proposed class. Numerical examples testify to the\nviability of the presented design technique.\n