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A variety of algorithms have been proposed to address the power system state estimation problem in the presence of uncertainties in the data. However, less emphasis has been given to handling perturbations in the model. In the context of…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Ayan Das , Anushka Sharma , Anamitra Pal

This article addresses the problem of state observer design for continuous-time linear positive networked systems. Considering the bandwidth constraint in the communication network, an event-measurement-based positive observer design is…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Bhargavi Chaudhary , Krishanu Nath , Subashish Datta , Indra Narayan Kar

This paper addresses the problem of distributed state estimation for discrete-time linear time-invariant systems. Building on the framework proposed in Gao & Yang (2025), we exploit the Jordan canonical form of the system matrix to develop…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Giulio Fattore , Maria Elena Valcher , Rui Gao , Guang-Hong Yang

Complex dynamical systems rely on the correct deployment and operation of numerous components, with state-of-the-art methods relying on learning-enabled components in various stages of modeling, sensing, and control at both offline and…

Systems and Control · Electrical Eng. & Systems 2021-01-22 Weiming Xiang

Non-linear state estimation and some related topics, like parametric estimation, fault diagnosis, and perturbation attenuation, are tackled here via a new methodology in numerical differentiation. The corresponding basic system theoretic…

Computational Engineering, Finance, and Science · Computer Science 2008-11-06 Michel Fliess , Cédric Join , Hebertt Sira-Ramirez

Increasing penetration of renewable energy introduces significant uncertainty into power systems. Traditional simulation-based verification methods may not be applicable due to the unknown-but-bounded feature of the uncertainty sets.…

Systems and Control · Electrical Eng. & Systems 2020-02-25 Yichen Zhang , Yan Li , Kevin Tomsovic , Seddik Djouadi , Meng Yue

This paper proposes an Extended-Kalman-Filter-like observer for parameter estimation during synchronization of chaotic systems. The exponential stability of the observer is guaranteed by a persistent excitation condition. This approach is…

Chaotic Dynamics · Physics 2017-06-21 L. Torres

This paper addresses optimal feedback stabilizing control for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations, affected by state and process noise. Instead of directly stabilizing the uncertain system, we…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Mohammad Khajenejad

Linear models with additive unknown-but-bounded input disturbances are extensively used to model uncertainty in robust control systems design. Typically, the disturbance set is either assumed to be known a priori or estimated from data…

Optimization and Control · Mathematics 2022-08-22 Sampath Kumar Mulagaleti , Alberto Bemporad , Mario Zanon

Layered control is essential for managing complexity in large-scale systems, employing progressively coarser models at higher layers. While significant advances have been made for fully observable systems, the theoretical foundations of…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Charis Stamouli , Anastasios Tsiamis , George J. Pappas

Utilization of noise for the control of a class of non-linear systems is presented. The application of state-multiplicative noise as a mean of control is far more limited then the use of standard determinis?tic gains. Nevertheless, so…

Optimization and Control · Mathematics 2025-05-14 Adrian-Mihail Stoica , Isaac Yaesh

Predicting the state of a system in a relatively near future time instant is often needed for control purposes. However, when the system is affected by external disturbances, its future state is dependent on the forthcoming disturbance;…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Alberto Castillo , Pedro Garcia

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Amit K. Sanyal

In this paper we are interested in the problem of state observation of state-affine nonlinear systems. Our main contribution is to propose a globally exponentially convergent observer that requires only the necessary assumption of…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Lei Wang , Romeo Ortega , Alexei Bobtsov

This contribution proposes a recursive, computationally efficient, ready-to-use, online method for the ellipsoidal state characterization for linear discrete-time models with additive unknown disturbances vectors (bounded by known possibly…

Systems and Control · Electrical Eng. & Systems 2021-04-28 Yasmina Becis-Aubry

Providing situational awareness in light of severe coordinated cyber-attacks on power grids, where many measurements may be untrusted, is necessary for reliable monitoring and resilient operation of the grid. In this scenario, the set of…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Ana Jevtić , Marija Ilić

This paper proposes a new state estimator for discrete-time nonlinear dynamical systems with unknown-but-bounded uncertainties and state linear inequality and nonlinear equality constraints. Our algorithm is based on constrained zonotopes…

Optimization and Control · Mathematics 2022-11-14 Alesi A. de Paula , Davide M. Raimondo , Guilherme V. Raffo , Bruno O. S. Teixeira

Various methods are nowadays available to design observers for broad classes of systems. Nevertheless, the question of the tuning of the observer to achieve satisfactory estimation performance remains largely open. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2022-09-22 E. Petri , R. Postoyan , D. Astolfi , D. Nešić , V. Andrieu

Conformal prediction offers a distribution-free framework for constructing prediction sets with coverage guarantees. In practice, multiple valid conformal prediction sets may be available, arising from different models or methodologies.…

Machine Learning · Statistics 2025-06-26 Mahmoud Hegazy , Liviu Aolaritei , Michael I. Jordan , Aymeric Dieuleveut

This work introduces a learning-enhanced observer (LEO) for linear time-invariant systems with uncertain dynamics. Rather than relying solely on nominal models, the proposed framework treats the system matrices as optimizable variables and…

Machine Learning · Computer Science 2025-11-21 Hao Shu