Analysis and synthesis of single-input-single-output Lurie type systems via H∞ mixed-sensitivity

Pinheiro, Rafael Fernandes; Colón, Diego

doi:10.1177/01423312211025953

Cited by 4 publications

(1 citation statement)

References 30 publications

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“…Lurie systems are a type of feedback system with linear dynamics and nonlinear, static (but potentially time-varying) feedback. Lurie systems enjoy a well-grounded theory of stability [28], but are still a thriving field of study [29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Observer Design for a Variable Moment of Inertia System

Baranowski¹

2021

Energies

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Variable moment of inertia systems are common, and a popular laboratory system of this type is the “ball-and-beam”. Such systems are, however, nonlinear and often unstable. Efficient control requires full state information (or at least partial velocities), which are generally difficult to measure. That is why the design of state observers is a relevant problem. In this paper, a new design of an observer is proposed. This new nonlinear observer uses partial output injection and the circle criterion to ensure semiglobal stability. Moreover, we present a complete modeling of the system and systematic testing of the observer in comparison to a baseline in the form of a linear observer. The results show that the designed observer outperforms its linear counterpart and does not impede control.

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Section: Introductionmentioning

confidence: 99%

Observer Design for a Variable Moment of Inertia System

Baranowski¹

2021

Energies

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On theμ-analysis and synthesis for uncertain time-delay systems with Padé approximations

Pinheiro,

Colón

2024

Journal of the Franklin Institute

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DMAIC Model’s Relative Efficiency Analysis of Input and Output in Cultural Construction of University Library and Mental Health Education of College Students

Huang

Zheng

2023

Applied Mathematics and Nonlinear Sciences

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To solve the problems in the construction of the internal quality assurance system in some colleges and universities, such as the difficulty in forming the quality culture, the imperfection of the system construction, and the insufficiency of the information platform construction, etc. By analyzing the five stages of the DMAIC model, the process of diagnosis and improvement is proposed, and from the definition stage, measurement stage, analysis stage, improvement stage, control stage, the improvement strategy of diagnosis, and improvement of internal quality assurance system is described. Through the application of the DMAIC model in actual cases, it can provide ide reference for the construction of internal quality assurance systems in colleges and universities. According to the BCC model in the DEA model, the author studies the relative effectiveness of the input and output of 12 university libraries in China. The results show that university libraries with effective technology accounted for 66.67%, while those without effective technology accounted for 33.33%, it also analyzes the investment changes of non-technical effective university libraries. This has an important reference and inspiration to improve the management of university libraries.

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Analysis and synthesis of single-input-single-output Lurie type systems via H∞ mixed-sensitivity

Cited by 4 publications

References 30 publications

Observer Design for a Variable Moment of Inertia System

Observer Design for a Variable Moment of Inertia System

On theμ-analysis and synthesis for uncertain time-delay systems with Padé approximations

DMAIC Model’s Relative Efficiency Analysis of Input and Output in Cultural Construction of University Library and Mental Health Education of College Students

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