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The purpose of this paper is to point to the usefulness of applying a linear mathematical formulation of fuzzy multiple criteria objective decision methods in organising business activities. In this respect fuzzy parameters of linear…

Artificial Intelligence · Computer Science 2007-05-23 Sonja Petrovic-Lazarevic , Ajith Abraham

The problem of estimating the $\mathcal{H}_\infty$-norm of an LTI system from noisy input/output measurements has attracted recent attention as an alternative to parameter identification for bounding unmodeled dynamics in robust control. In…

Optimization and Control · Mathematics 2018-10-01 Stephen Tu , Ross Boczar , Benjamin Recht

We present a framework for learning of modeling uncertainties in Linear Time Invariant (LTI) systems. We propose a methodology to extend the dynamics of an LTI (without uncertainty) with an uncertainty model, based on measured data, to…

Systems and Control · Electrical Eng. & Systems 2023-11-01 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

This paper provides a comprehensive analysis of the design of optimal structured and sparse $H_\infty$ controllers for continuous-time linear time-invariant (LTI) systems. Three problems are considered. First, designing the sparsest…

Optimization and Control · Mathematics 2025-05-07 Zhaohua Yang , Pengyu Wang , Haishan Zhang , Shiyue Jia , Nachuan Yang , Yuxing Zhong , Ling Shi

This paper studies the problem of fault detection and estimation (FDE) for linear time-invariant (LTI) systems with a particular focus on frequency content information of faults, possibly as multiple disjoint continuum ranges, and under…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Jingwei Dong , Kaikai Pan , Sergio Pequito , Peyman Mohajerin Esfahani

This paper addresses the robust ${\cal H}_2$ synthesis problem for linear fractional transformation (LFT) systems subject to structured uncertainty (parameter) and white-noise disturbances. By introducing an intermediate matrix variable, we…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Fen Wu

A fully analytical controller design is proposed to tackle a periodic control problem for stable linear systems with an input delay. Applying the internal model control scheme, the controller design reduces to designing a filter, which is…

Systems and Control · Electrical Eng. & Systems 2025-05-15 Can Kutlu Yüksel , Tomáš Vyhlídal , Jaroslav Bušek , Martin Hromčík , Silviu-Iulian Niculescu

This manuscript focuses on the $\mathcal{H}_\infty$ observer design for a class of nonlinear discrete systems under the presence of measurement noise or external disturbances. Two new Linear Matrix Inequality (LMI) conditions are developed…

Systems and Control · Electrical Eng. & Systems 2024-07-12 Shivaraj Mohite

Nonlinear pose (\textit{i.e,} attitude and position) filters are characterized with simpler structure and better tracking performance in comparison with other methods of pose estimation. A critical factor when designing a nonlinear pose…

Systems and Control · Electrical Eng. & Systems 2021-09-16 Trenton S Sieb , Ajay Singh , Lorelei Guidos , Hashim A Hashim

This paper presents a convex optimization-based framework for synthesizing time-varying controlled invariant funnels and associated feedback control around a given nominal trajectory for nonlinear systems subject to bounded disturbances.…

Optimization and Control · Mathematics 2025-11-13 Taewan Kim , Dayou Luo , Behçet Açıkmeşe

In a recent study, we reported the results of a new decision making paradigm in which the participants were asked to balance between their speed and accuracy to maximize the total reward they achieve during the experiment. The results of…

Neurons and Cognition · Quantitative Biology 2016-08-26 Arash Khodadadi , Pegah Fakhari , Jerome R Busemeyer

H-infinity controllers are frequently used in control theory due to their robust performance and stabilization. Classical H-infinity controller synthesis methods for finite dimensional LTI MIMO plants result in high-order controllers for…

Systems and Control · Electrical Eng. & Systems 2020-03-25 Suat Gumussoy , Wim Michiels

This paper discusses a target tracking problem in which no dynamic mathematical model is explicitly assumed. A nonlinear filter based on the fuzzy If-then rules is developed. A comparison with a Kalman filter is made, and empirical results…

Artificial Intelligence · Computer Science 2013-03-25 Chin-Wang Tao , Wiley E. Thompson

To improve the problem that the parameter identification for fuzzy neural network has many time complexities in calculating, an improved T-S fuzzy inference method and an parameter identification method for fuzzy neural network are…

Neural and Evolutionary Computing · Computer Science 2014-12-30 Chol Man Ho , Son Il Gwak , Song Ho Pak , Jong Won Ha

Hesitant fuzzy linguistic preference relation (HFLPR) is of interest because it provides an efficient way for opinion expression under uncertainty. For enhancing the theory of decision making with HFLPR, the paper introduces an algorithm…

Artificial Intelligence · Computer Science 2022-10-03 Peijia Ren , Zixu Liu , Wei-Guo Zhang , Xilan Wu

An important constraint of Fuzzy Inference Systems (FIS) is their structured rules defined based on evaluating all input variables. Indeed, the length of all fuzzy rules and the number of input variables are equal. However, in many…

Artificial Intelligence · Computer Science 2024-02-26 Armin Salimi-Badr

This paper introduces a novel $\mathcal{H}_{\infty}$-optimal interval observer synthesis for bounded-error/uncertain locally Lipschitz nonlinear continuous-time (CT) and discrete-time (DT) systems with noisy nonlinear observations.…

Systems and Control · Electrical Eng. & Systems 2022-03-16 Mohammad Khajenejad , Sze Zheng Yong

This paper investigates the robust stability and stabilization analysis of interval fractional-order systems with time-varying delay. The stability problem of such systems is solved first, and then using the proposed results a stabilization…

Systems and Control · Electrical Eng. & Systems 2019-09-19 Pouya Badri , Mahdi Sojoodi

To improve the predictive capacity of system models in the input-output sense, this paper presents a framework for model updating via learning of modeling uncertainties in locally (and thus also in globally) Lipschitz nonlinear systems.…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

This paper deals with the problem of robust dynamic output feedback stabilization of interval fractional-order linear time invariant (FO-LTI) systems with the fractional order $1\le\alpha<2$. In this study, a new formulation based on the…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Pouya Badri , Mahdi Sojoodi