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This paper focuses on adaptive control of the discrete-time linear quadratic regulator (adaptive LQR). Recent literature has made significant contributions in proving non-asymptotic convergence rates, but existing approaches have a few…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Peter A. Fisher , Anuradha M. Annaswamy

This paper proposes an event-triggered control scheme for multivariable extremum seeking of static maps. Both static and dynamic triggering conditions are developed. Integrating Lyapunov and averaging theories for discontinuous systems, a…

Optimization and Control · Mathematics 2023-12-15 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Liu Hsu , Mamadou Diagne , Miroslav Krstic

This note proposes a data-driven output-feedback stabilizing policy iteration for unknown linear discrete-time systems with unmeasurable states. Existing policy iteration methods for optimal control must start from a stabilizing control…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Dongdong Li , Jiuxiang Dong

This article aims at providing a unified analysis of the exponential stabilization of some abstract infinite dimensional systems undergoing an event-triggering mechanism that samples the control input. The partial differential equation is…

Analysis of PDEs · Mathematics 2025-08-11 Lucie Baudouin , Sylvain Ervedoza

Event-triggered and self-triggered control have been proposed in recent years as promising control strategies to reduce communication resources in Networked Control Systems (NCSs). Based on the notion of set-invariance theory, this note…

Optimization and Control · Mathematics 2018-01-18 Kazumune Hashimoto , Dimos V. Dimarogonas , Shuichi Adachi

The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Ariany C. Oliveira , Victor C. S. Campos , Leonardo. A. Mozelli

The model-free control approach is an advanced control law that requires few information about the process to control. Since its introduction in 2008, numerous applications have been successfully considered, highlighting attractive…

Systems and Control · Computer Science 2025-02-27 Loïc Michel

This paper explores the properties of adaptive systems with closed-loop reference models. Using additional design freedom available in closed-loop reference models, we design new adaptive controllers that are (a) stable, and (b) have…

Optimization and Control · Mathematics 2012-10-31 Travis E. Gibson , Anuradha M. Annaswamy , Eugene Lavretsky

This paper studies a challenging issue introduced in a recent survey, namely designing a distributed event-based scheme to solve the dynamic average consensus (DAC) problem. First, a robust adaptive distributed event-based DAC algorithm is…

Systems and Control · Electrical Eng. & Systems 2023-11-23 Tao Xu , Zhisheng Duan , Guanghui Wen , Zhiyong Sun

This paper presents a class of event-triggering rules for dynamical control systems with guaranteed positive minimum inter-event time (MIET). We first propose an event-based function design with guaranteed control performance under a…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Xing Chu , Na Huang , Zhiyong Sun

This work deals with the event-triggered finite-time control for high-order systems based on an implicit Lyapunov function (ILF). With the construction of an inverse optimal problem, a novel expression of ILF is obtained. By designing the…

Optimization and Control · Mathematics 2022-11-10 Peng Wang , Shuzhi Sam Ge , Xiaobing Zhang

This paper proposes a new adaptation methodology to find the control inputs for a class of nonlinear systems with time-varying bounded uncertainties. The proposed method does not require any prior knowledge of the uncertainties including…

Optimization and Control · Mathematics 2018-03-16 Yi-Wen Liao , Selina Pan , Francesco Borrelli , J. Karl Hedrick

We consider the data-driven stabilization of discrete-time linear time-varying systems. The controller is defined as a linear state-feedback law whose gain is adapted to the plant changes through a data-based event-triggering rule. To do…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Andrea Iannelli , Romain Postoyan

This note studies stability of event-triggered control systems with the event-triggered control algorithm proposed in [1]. We construct a novel Halanay-type inequality, which is used to show that sufficient conditions of the main results in…

Optimization and Control · Mathematics 2023-10-02 Kexue Zhang , Bahman Gharesifard , Elena Braverman

This paper investigates gradient-based adaptive prediction and control for nonlinear stochastic dynamical systems under a weak convexity condition on the prediction-based loss. This condition accommodates a broad range of nonlinear models…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Yujing Liu , Xin Zheng , Zhixin Liu , Lei Guo

Concerning general multi-agent systems with limited communication, this paper proposes distributed formation control protocols under adaptive event-triggered schemes to operate affine transformations of nominal formations. To accommodate…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Chenjun Liu , Jason J. R. Liu , Zhan Shu , James Lam

This paper addresses the stability and $\ell^2$-gain analysis of adaptive control systems with event-triggered try-once-discard protocols. At every sampling time, an event trigger evaluates an error between the current value and the last…

Optimization and Control · Mathematics 2018-01-25 Masashi Wakaiki

This article aims to derive a practical tracking control algorithm for flexible air-breathing hypersonic vehicles (FAHVs) with lumped disturbances, unmeasurable states and actuator failures. Based on the framework of the backstepping…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Tianlong Zhao , Fei Hao

A novel method of an adaptive linear quadratic (LQ) regulation of uncertain continuous linear time-invariant systems is proposed. Such an approach is based on the direct self-tuning regulators design framework and the exponentially stable…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

This paper introduces the first observer-based periodic event-triggered control (PETC) and self-triggered control (STC) for boundary control of a class of parabolic PDEs using PDE backstepping control. We introduce techniques to convert a…

Optimization and Control · Mathematics 2025-01-16 Bhathiya Rathnayake , Mamadou Diagne