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The stability of stochastic Model Predictive Control (MPC) subject to additive disturbances is often demonstrated in the literature by constructing Lyapunov-like inequalities that guarantee closed-loop performance bounds and boundedness of…

Optimization and Control · Mathematics 2019-03-19 Diego Munoz-Carpintero , Mark Cannon

We propose an open loop control scheme for linear systems with time-varying random elements in the plant's state matrix. This paper focuses on joint chance constraints for potentially time-varying target sets. Under assumption of finite and…

Systems and Control · Electrical Eng. & Systems 2023-08-15 Shawn Priore , Ali Bidram , Meeko Oishi

We develop an indirect-adaptive model predictive control algorithm for uncertain linear systems subject to constraints. The system is modeled as a polytopic linear parameter varying system where the convex combination vector is constant but…

Systems and Control · Computer Science 2015-09-25 Stefano Di Cairano

This note is concerned with the stability and stabilization of the linearized spacecraft attitude control system. Necessary and sufficient conditions are respectively provided to guarantee that the considered systems are polynomially stable…

Dynamical Systems · Mathematics 2015-04-02 Bin Zhou

We study the problem of distributed online control of networked systems with time-varying cost functions and disturbances, where each node only has local information of the states and forecasts of the costs and disturbances. We develop a…

Optimization and Control · Mathematics 2025-07-18 Eric Xu , Soummya Kar , Guannan Qu

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

Despite its popularity in the reinforcement learning community, a provably convergent policy gradient method for continuous space-time control problems with nonlinear state dynamics has been elusive. This paper proposes proximal gradient…

Optimization and Control · Mathematics 2022-12-27 Christoph Reisinger , Wolfgang Stockinger , Yufei Zhang

We study packetized predictive control, known to be robust against packet dropouts in networked systems. To obtain sparse packets for rate-limited networks, we design control packets via an L0 optimization, which can be effectively solved…

Systems and Control · Computer Science 2013-08-05 Masaaki Nagahara , Daniel E. Quevedo , Jan Ostergaard

This paper introduces a new approach of treating platoon systems using mean-variance control formulation. The underlying system is a controlled switching diffusion in which the random switching process is a continuous-time Markov chain.…

Optimization and Control · Mathematics 2014-01-22 Zhixin Yang , G. Yin , Le Yi Wang , Hongwei Zhang

This article deals with stability of continuous-time switched linear systems under constrained switching. Given a family of linear systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which…

Systems and Control · Computer Science 2017-11-27 Atreyee Kundu , Debasish Chatterjee

In this paper, we present an equivalent convex optimization formulation for discrete-time stochastic linear systems subject to linear chance constraints, alongside a tight convex relaxation for quadratic chance constraints. By lifting the…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Tanmay Dokania , Yashwanth Kumar Nakka

The paper presents a new control algorithm for unstable linear systems with input delay. In comparison with known analogues, the control law has been designed, which is a modification of the Smith predictor, and is the simplest one to…

Optimization and Control · Mathematics 2025-07-31 Anton Pyrkin , Konstantin Kalinin

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

Optimization and Control · Mathematics 2022-07-27 Francesco Micheli , John Lygeros

We study how to safely control nonlinear control-affine systems that are corrupted with bounded non-stochastic noise, i.e., noise that is unknown a priori and that is not necessarily governed by a stochastic model. We focus on safety…

Systems and Control · Electrical Eng. & Systems 2024-12-11 Hongyu Zhou , Yichen Song , Vasileios Tzoumas

This paper addresses a scheduling problem in the context of a cyber-physical system where a sensor and a controller communicate over an unreliable channel. The sensor observes the state of a source at each time, and according to a…

Optimization and Control · Mathematics 2025-02-25 Saad Kriouile , Mohamad Assaad , Touraj Soleymani

This work is devoted to the almost sure stabilization of adaptive control systems that involve an unknown Markov chain. The control system displays continuous dynamics represented by differential equations and discrete events given by a…

Probability · Mathematics 2008-07-10 Bernard Bercu , Francois Dufour , G. George Yin

We introduce the Lyapunov approach to optimal control problems of average risk-sensitive Markov control processes with general risk maps. Motivated by applications in particular to behavioral economics, we consider possibly non-convex risk…

Optimization and Control · Mathematics 2015-07-23 Yun Shen , Klaus Obermayer , Wilhelm Stannat

This work develops a stochastic model predictive controller~(SMPC) for uncertain linear systems with additive Gaussian noise subject to state and control constraints. The proposed approach is based on the recently developed finite-horizon…

Optimization and Control · Mathematics 2019-11-26 Kazuhide Okamoto , Panagiotis Tsiotras

In this article a model predictive control (MPC) based frequency control scheme for energy storage units was derived, focusing on the incorporation of stability constraints based on Lyapunov theory and the concept of passivity. The proposed…

Systems and Control · Computer Science 2014-05-28 Christoph Trabert , Andreas Ulbig , Göran Andersson

This paper presents a Lyapunov function based control strategy for networked control systems (NCS) affected by variable time delays and data loss. A special focus is put on the reduction of the computational complexity. A specific buffering…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Katarina Stanojevic , Martin Steinberger , Martin Horn
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