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Observability is the property that enables to distinguish two different locations in $n$-dimensional state space from a reduced number of measured variables, usually just one. In high-dimensional systems it is therefore important to make…

Neurons and Cognition · Quantitative Biology 2019-05-06 Luis A. Aguirre , Leonardo L. Portes , Christophe Letellier

This paper considers the observability of nonlinear systems from a Koopman operator theoretic perspective--and in particular--the effect of symmetry on observability. We first examine an infinite-dimensional linear system (constructed using…

Systems and Control · Computer Science 2020-02-11 Afshin Mesbahi , Jingjing Bu , Mehran Mesbahi

This paper explores the problem of selecting sensor nodes for a general class of nonlinear dynamical networks. In particular, we study the problem by utilizing altered definitions of observability and open-loop lifted observers. The…

Systems and Control · Electrical Eng. & Systems 2023-07-17 Mohamad H. Kazma , Sebastian A. Nugroho , Aleksandar Haber , Ahmad F. Taha

This paper studies the reduced-order or full-order, dead-beat observer problem for a class of nonlinear systems, linear in the unmeasured states. A novel hybrid observer design strategy is proposed, with the help of the notion of strong…

Optimization and Control · Mathematics 2010-05-31 Iasson Karafyllis , Zhong-Ping Jiang

For systems that are not observable at the very equilibrium of interest to be stabilized, output-feedback stabilization is considerably challenging. In this paper we solve this control problem for the case-study of a second-order system…

Optimization and Control · Mathematics 2023-09-21 Mohamed Maghenem , William Pasillas-Lépine , Antonio Loría , Missie Aguado-Rojas

For a general class of translationally invariant systems with a specific category of nonlinearity in the output, this paper presents necessary and sufficient conditions for global observability. Critically, this class of systems cannot be…

Dynamical Systems · Mathematics 2022-10-11 Eduardo D. Sontag , Debojyoti Biswas , Noah J. Cowan

Non-ideal position estimation results in degraded performance of synchronous motor drive systems due to reduction of the average capability of the drive as well as torque harmonics of different orders. The signature and extent of the…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Prerit Pramod

We study synchronization of nonlinear systems that satisfy an incremental passivity property. We consider the case where the control input is subject to a class of disturbances, including constant and sinusoidal disturbances with unknown…

Systems and Control · Computer Science 2013-12-24 He Bai , S. Yusef Shafi

The design of a position observer for the interior permanent magnet synchronous motor is a challenging problem that, in spite of many research efforts, remained open for a long time. In this paper we present the first globally exponentially…

Systems and Control · Computer Science 2020-02-28 Romeo Ortega , Bowen Yi , Slobodan Vukosavic , Kwanghee Nam , Jongwon Choi

Unmanned ground vehicles have a huge development potential in both civilian and military fields, and have become the focus of research in various countries. In addition, high-precision, high-reliability sensors are significant for UGVs'…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Qi Liu , Shihua Yuan , Zirui Li

A joint characterization of reachability (controllability) and observability (constructibility) for linear SISO nonuniformly sampled discrete systems is presented. The work generalizes to the nonuniform sampling the criterion known for the…

Dynamical Systems · Mathematics 2010-05-21 Amparo Fúster-Sabater

Alignment of the strapdown inertial navigation system (INS) has strong nonlinearity, even worse when maneuvers, e.g., tumbling techniques, are employed to improve the alignment. There is no general rule to attack the observability of a…

Robotics · Computer Science 2012-01-19 Yuanxin Wu , Hongliang Zhang , Meiping Wu , Xiaoping Hu , Dewen Hu

This paper investigates the fundamental information-theoretic limits for the control and sensing of noiseless linear dynamical systems subject to a broad class of nonlinear observations. We analyze the interactions between the control and…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Ming Li , Fan Liu , Yifeng Xiong , Jie Xu , Tao Liu

We provide algorithmically verifiable necessary and sufficient conditions for fundamental system theoretic properties of discrete time linear systems subject to data losses. More precisely, the systems in our modeling framework are subject…

Optimization and Control · Mathematics 2016-09-20 Raphael M. Jungers , W. P. M. H. Heemels , Atreyee Kundu

This paper presents a detection algorithm for sensor attacks and a resilient state estimation scheme for a class of uniformly observable nonlinear systems. An adversary is supposed to corrupt a subset of sensors with the possibly unbounded…

Systems and Control · Computer Science 2021-01-11 Junsoo Kim , Chanhwa Lee , Hyungbo Shim , Yongsoon Eun , Jin Heon Seo

In Landmark-Inertial Simultaneous Localisation and Mapping (LI-SLAM), the positions of landmarks in the environment and the robot's pose relative to these landmarks are estimated using landmark position measurements, and measurements from…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Arkadeep Saha , Pieter van Goor , Ravi Banavar

We propose a method for detecting the presence of synchronization of self-sustained oscillator by external driving with linearly varying frequency. The method is based on a continuous wavelet transform of the signals of self-sustained…

Observability is a fundamental structural property of any dynamic system and describes the possibility of reconstructing the state that characterizes the system from observing its inputs and outputs. Despite the huge effort made to study…

Optimization and Control · Mathematics 2024-09-11 Agostino Martinelli

Determining the reachable set for a given nonlinear control system is crucial for system control and planning. However, computing such a set is impossible if the system's dynamics are not fully known. This paper is motivated by a scenario…

Optimization and Control · Mathematics 2021-08-26 Taha Shafa , Melkior Ornik

In certain systems which are subject to significant constant external forcing such as an airplane in wind or an underwater glider in ocean currents, the ability to detect the forcing depends on both the measurements available and whether…

Systems and Control · Electrical Eng. & Systems 2021-05-31 Natalie Brace , Kristi A. Morgansen