Results 31 to 40 of about 174,687,547 (178)

Optimal Control of Opinion Dynamics on Complex Networks via Discounted LQR: Theory and Computation

Mathematics
This paper investigates the optimal control problem of opinion dynamics within complex networks. By introducing a state transformation, the original problem is reformulated within a discounted Linear Quadratic Regulator (LQR) framework, establishing a ...
Yajin Chen, Hongwei Gao, Yanshan Liu, Zhonghao Jiang   +3 more
doaj   +1 more source

Discrete-Time Multi-Player Games Based on Off-Policy Q-Learning

IEEE Access, 2019
In this paper, an off-policy game Q-learning algorithm is proposed for solving linear discrete-time non-zero sum multi-player game problems. Unlike the existing Q-learning methods for solving the Riccati equation by on-policy learning approaches for ...
Jinna Li, Zhenfei Xiao, Ping Li
doaj   +1 more source

Theoretical Study of the Nonlinear Control Algorithms with Continuous and Discrete-Time State Dependent Riccati Equation

Procedia Technology, 2016
AbstractThe State-Dependent Riccati Equation (SDRE) control strategy is one of the most efficient approaches for the nonlinear feedback control algorithm by allowing nonlinearities in the system states. This method can be considered as a nonlinear LQR based control design, where the system matrices (and the weight matrices) are functions of the states.
György, Katalin, Dávid, László, Kelemen, András   +2 more
openaire   +1 more source

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

Pick matrix conditions for sign-definite solutions of the algebraic Riccati equation [PDF]

, 2001
We study the existence of positive and negative semidefinite solutions of algebraic Riccati equations (ARE) corresponding to linear quadratic problems with an indefinite cost functional.
Rapisarda, P., Trentelman, H.L., P. Rapisarda, Rapisarda, P, H.L. Trentelman, Trentelman, HL, Trentelman, Harry L., Rapisarda, Paolo   +7 more
core   +2 more sources

A Discrete-Time FOLQR Framework for Centralized AGC in Multi-Area Interconnected Power Grids

Applied Sciences
This paper presents a discrete-time, centralized fractional-order linear quadratic regulator FOLQR for automatic generation control (AGC) of three-area interconnected nonreheat thermal systems.
Khidir AK Mohamed, Khaleel Agail Mohamed, Abdul-Wahid A. Saif   +2 more
doaj   +1 more source

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source

Discrete Implementations Modify the Intuition of Final Set Adjustment in Barrier Function Based Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle, Andrés González, Leonid Fridman, Meléndez Alfredo   +3 more
wiley   +1 more source

Output Feedback Optimal Control for Discrete-Time Singular Systems Driven by Stochastic Disturbances and Markov Chains

Mathematics
This paper delves into the exploration of the indefinite linear quadratic optimal control (LQOC) problem for discrete-time stochastic singular systems driven by discrete-time Markov chains.
Jing Xie, Bowen Zhang, Tianliang Zhang, Xiangtong Kong   +3 more
doaj   +1 more source

Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo, Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic   +3 more
wiley   +1 more source