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This paper addresses the problem of selecting the minimum number of dedicated sensors to achieve observability in the presence of unknown inputs, namely, the state and input observability, for linear time-invariant systems. We assume that…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Ranbo Cheng , Yuan Zhang , Amin MD Al , Yuanqing Xia

This article studies two problems related to observability and efficient constrained sensor placement in linear time-invariant discrete-time systems with partial state observations. (i) We impose the condition that both the set of outputs…

Optimization and Control · Mathematics 2021-05-21 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

This paper addresses problems on the robust structural design of complex networks. More precisely, we address the problem of deploying the minimum number of dedicated sensors, i.e., those measuring a single state variable, that ensure the…

Optimization and Control · Mathematics 2016-06-13 Xiaofei Liu , Sergio Pequito , Soummya Kar , Bruno Sinopoli , A. Pedro Aguiar

This paper addresses a structural design problem in control systems, and explicitly takes into consideration the possible application to large-scale systems. More precisely, we aim to determine and characterize the minimum number of…

Optimization and Control · Mathematics 2016-06-13 Sergio Pequito , George J. Pappas

This paper presents a framework on minimal-order appointed-time unknown input observers for linear systems based on the pairwise observer structure. A minimal-order appointed-time observer is first proposed for the linear system without the…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Yuezu Lv , Zhongkui Li , Zhisheng Duan

In this paper we address the actuator/sensor allocation problem for linear time invariant (LTI) systems. Given the structure of an autonomous linear dynamical system, the goal is to design the structure of the input matrix (commonly denoted…

Systems and Control · Computer Science 2012-10-26 Sergio Pequito , Soummya Kar , A. Pedro Aguiar

This paper studies the robustness of observability of a linear time-invariant system under sensor failures from a computational perspective. To be precise, the problem of determining the minimum number of sensors whose removal can destroy…

Optimization and Control · Mathematics 2023-07-18 Yuan Zhang , Yuanqing Xia , Kun Liu

In this paper, existence conditions and a design procedure of reduced-order switched positive observers for continuous- and discrete-time switched positive linear systems with uncertainty are established. In the analyzed class, arbitrary…

Systems and Control · Electrical Eng. & Systems 2025-05-15 Naohisa Otsuka , Daiki Kakehi , Przemysław Ignaciuk

A fixed-order set-valued observer is presented for linear parameter-varying systems with bounded-norm noise and under completely unknown attack signals, which simultaneously finds bounded sets of states and unknown inputs that include the…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Mohammad Khajenejad , Sze Zheng Yong

This paper discusses stability and robustness properties of a recently proposed observer algorithm for linear time varying systems. The observer is based on the approximation and subsequent modification of the non-negative Lyapunov…

Optimization and Control · Mathematics 2018-09-19 Markus Tranninger , Sergiy Zhuk , Martin Steinberger , Leonid Fridman , Martin Horn

State estimation for a class of linear time-invariant systems with distributed output measurements (distributed sensors) and unknown inputs is addressed in this paper. The objective is to design a network of observers such that the state…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Guitao Yang , Angelo Barboni , Hamed Rezaee , Thomas Parisini

In this paper, given a linear time-invariant strongly connected network, we study the problem of determining the minimum number of state variables that need to be simultaneously actuated and measured to ensure structural controllability and…

Optimization and Control · Mathematics 2021-11-29 Guilherme Ramos , A. Pedro Aguiar , Sérgio Pequito

In the present work, a simple algorithm for stabilizing an unknown linear time-invariant system is proposed, assuming only that this system is stabilizable. The suggested algorithm is based on first performing a partial identification of…

Optimization and Control · Mathematics 2022-11-14 Dennis Gramlich , Christian Ebenbauer

Designing observers for linear systems with both known and unknown inputs is an important problem in several research contexts, for example, fault diagnosis and fault-tolerant control, and cyber-secure control systems, and presents…

Systems and Control · Electrical Eng. & Systems 2025-09-11 Ruixuan Zhao , Guitao Yang , Thomas Parisini , Boli Chen

Given a linear system $\dot{x} = Ax$, where $A$ is an $n \times n$ matrix with $m$ nonzero entries, we consider the problem of finding the smallest set of state variables to affect with an input so that the resulting system is structurally…

Optimization and Control · Mathematics 2014-09-30 Alex Olshevsky

The state estimation of continuous-time nonlinear systems in which a subset of sensor outputs can be maliciously controlled through injecting a potentially unbounded additive signal is considered in this paper. Analogous to our earlier work…

Optimization and Control · Mathematics 2020-08-31 Michelle S. Chong , Henrik Sandberg , Joao P. Hespanha

To control structural responses under various actions, the growing use of supplementary damping systems in modern civil engineering structures necessitates inspecting and evaluating their operational performance postinstallation. However,…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Xinhao He , Dan Li

In this paper, we provide optimal solutions to two different (but related) input/output design problems involving large-scale linear dynamical systems, where the cost associated to each directly actuated/measured state variable can take…

Optimization and Control · Mathematics 2015-02-02 Sergio Pequito , A. Pedro Aguiar , Soummya Kar

In this paper, we present an optimal filter for linear time-varying continuous-time stochastic systems that simultaneously estimates the states and unknown inputs in an unbiased minimum-variance sense. We first show that the unknown inputs…

Optimization and Control · Mathematics 2016-11-17 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

In this paper, we study the problem of designing a simultaneous mode, input, and state set-valued observer for a class of hidden mode switched nonlinear systems with bounded-norm noise and unknown input signals, where the hidden mode and…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Mohammad Khajenejad , Sze Zheng Yong
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