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Recent developments in Reinforcement learning have significantly enhanced sequential decision-making in uncertain environments. Despite their strong performance guarantees, most existing work has focused primarily on improving the…

Statistics Theory · Mathematics 2025-08-13 Bo Pan , Jianya Lu , Yafei Wang , Hao Li , Bei Jiang , Linglong Kong

This paper proposes a new strategy for missile attitude control using a hybridization of Linear Quadratic Gaussian (LQG), Loop Transfer Recovery (LTR), and Linear Quadratic Integral (LQI) control techniques. The LQG control design is…

Systems and Control · Computer Science 2016-12-01 Saptarshi Das , Kaushik Halder

Enforcing safety on precise trajectory tracking is critical for aerial robotics subject to wind disturbances. In this paper, we present a learning-based safety-preserving cascaded quadratic programming control (SPQC) for safe trajectory…

Robotics · Computer Science 2021-04-22 Lei Zheng , Rui Yang , Jiesen Pan , Hui Cheng

We propose a new risk-constrained reformulation of the standard Linear Quadratic Regulator (LQR) problem. Our framework is motivated by the fact that the classical (risk-neutral) LQR controller, although optimal in expectation, might be…

Systems and Control · Electrical Eng. & Systems 2020-10-30 Anastasios Tsiamis , Dionysios S. Kalogerias , Luiz F. O. Chamon , Alejandro Ribeiro , George J. Pappas

Safety and tracking stability are crucial for safety-critical systems such as self-driving cars, autonomous mobile robots, industrial manipulators. To efficiently control safety-critical systems to ensure their safety and achieve tracking…

Robotics · Computer Science 2020-09-22 Lei Zheng , Jiesen Pan , Rui Yang , Hui Cheng , Haifeng Hu

Autonomous Cyber-Physical Systems (CPS) fuse proprioceptive sensors such as GPS and exteroceptive sensors including Light Detection and Ranging (LiDAR) and cameras for state estimation and environmental observation. It has been shown that…

Systems and Control · Electrical Eng. & Systems 2022-08-12 Hongchao Zhang , Shiyu Cheng , Luyao Niu , Andrew Clark

Quantum Private Query (QPQ) based on Quantum Key Distribution (QKD) is among the most practically viable quantum communication protocols, with application value second only to QKD itself. However, prevalent security vulnerabilities in the…

Quantum Physics · Physics 2026-01-06 Xiaoyu Peng , Bin Liu , Shiyu He , Nankun Mu , Wei Huang , Bingjie Xu , Fei Gao

The problem of controller reduction has a rich history in control theory. Yet, many questions remain open. In particular, there exist very few results on the order reduction of general non-observer based controllers and the subsequent…

Optimization and Control · Mathematics 2022-11-30 Zhaolin Ren , Yang Zheng , Maryam Fazel , Na Li

Perfect tracking control for real-world Euler-Lagrange systems is challenging due to uncertainties in the system model and external disturbances. The magnitude of the tracking error can be reduced either by increasing the feedback gains or…

Machine Learning · Computer Science 2019-02-26 Thomas Beckers , Dana Kulić , Sandra Hirche

We propose a hybrid feedback control law that guarantees both safety and asymptotic stability for a class of Lagrangian systems in environments with obstacles. Rather than performing trajectory planning and implementing a…

Optimization and Control · Mathematics 2021-02-12 Fernando S. Barbosa , Lars Lindemann , Dimos V. Dimarogonas , Jana Tumova

The deployment of control systems with network-connected components has made feedback control systems vulnerable to attacks over the network. This paper considers the problem of intrusion detection and mitigation in supervisory control…

Formal Languages and Automata Theory · Computer Science 2018-07-16 Lilian Kawakami Carvalho , Yi-Chin Wu , Raymond Kwong , Stéphane Lafortune

This work addresses the problem of risk-sensitive control for nonlinear systems with imperfect state observations, extending results for the linear case. In particular, we derive an algorithm that can compute local solutions with…

Optimization and Control · Mathematics 2021-10-22 Bilal Hammoud , Armand Jordana , Ludovic Righetti

We explore reinforcement learning methods for finding the optimal policy in the linear quadratic regulator (LQR) problem. In particular, we consider the convergence of policy gradient methods in the setting of known and unknown parameters.…

Machine Learning · Computer Science 2021-06-25 Ben Hambly , Renyuan Xu , Huining Yang

In this paper, we formulate and solve a guaranteed cost control problem for a class of uncertain linear stochastic quantum systems. For these quantum systems, a connection with an associated classical (non-quantum) system is first…

Quantum Physics · Physics 2011-07-29 A. J. Shaiju , I. R. Petersen , M. R. James

We present a model-based globally convergent policy gradient method (PGM) for linear quadratic Gaussian (LQG) control. Firstly, we establish equivalence between optimizing dynamic output feedback controllers and designing a static feedback…

Optimization and Control · Mathematics 2024-02-27 Tomonori Sadamoto , Fumiya Nakamata

For given system dynamics, observer structure, and observer-based fault/attack detection procedure, we provide mathematical tools -- in terms of Linear Matrix Inequalities (LMIs) -- for computing outer ellipsoidal bounds on the set of…

Systems and Control · Computer Science 2017-10-20 Carlos Murguia , Justin Ruths

Recent developments in cyber-physical systems and event-triggered control have led to an increased interest in the impact of sparse disturbances on dynamical processes. We study Linear Quadratic Regulator (LQR) control under sparse…

Systems and Control · Electrical Eng. & Systems 2022-09-23 Samuel Pfrommer , Somayeh Sojoudi

We consider the problem of planning under observation and motion uncertainty for nonlinear robotics systems. Determining the optimal solution to this problem, generally formulated as a Partially Observed Markov Decision Process (POMDP), is…

Robotics · Computer Science 2017-07-11 Mohammadhussein Rafieisakhaei , Suman Chakravorty , P. R. Kumar

Quantum key distribution (QKD) is a secure communication method that utilizes the principles of quantum mechanics to establish secret keys. The central task in the study of QKD is to prove security in the presence of an eavesdropper with…

Quantum Physics · Physics 2023-09-14 Sirui Peng , Xiaoming Sun , Hongyi Zhou

The `security index' of a discrete-time LTI system under sensor attacks is introduced as a quantitative measure on the security of an observable system. We derive ideas from error control coding theory to provide sufficient conditions for…

Systems and Control · Computer Science 2016-08-26 Michelle S. Chong , Margreta Kuijper
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