Stability analysis and controller design for Lur'e system with hysteresis nonlinearities: a negative-imaginary theory based approach

DOI10.1080/00207179.2017.1418909zbMath1421.93103OpenAlexW2778359294MaRDI QIDQ5231394

Arnab Dey, Sourav Patra, Siddhartha Sen

Publication date: 26 August 2019

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2017.1418909

zbMATH Keywords

Lyapunov functionabsolute stabilitypositive feedbackLur'e systemnegative-imaginary systemhysteresis nonlinearity

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51) Multivariable systems, multidimensional control systems (93C35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items

Improved \(H_\infty\) deconvolution filter design for Lur'e singular Markovian jump systems based on sector bounded condition

Uses Software

• CVX

Cites Work

• Absolute stability analysis for negative-imaginary systems
• A strongly strict negative-imaginary lemma for non-minimal linear systems
• Absolute stability analysis of linear systems with Duhem hysteresis operator
• Input-output stability of systems with backlash
• Linear controller analysis and design for systems with input hystereses nonlinearities.
• Hysteresis and phase transitions
• A negative-imaginary lemma without minimality assumptions and robust state-feedback synthesis for uncertain negative-imaginary systems
• Modeling, identification and compensation of complex hysteretic nonlinearities: a modified Prandtl-Ishlinskii approach
• Foundations of Not Necessarily Rational Negative Imaginary Systems Theory: Relations Between Classes of Negative Imaginary and Positive Real Systems
• Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures With Free Body Motion
• A KYP lemma and invariance principle for systems with multiple hysteresis non-linearities
• Systems with hysteresis in the feedback loop: existence, regularity and asymptotic behaviour of solutions
• The asymptotic stability of nonlinear (Lur'e) systems with multiple slope restrictions
• Absolute stability criteria for multiple slope-restricted monotonic nonlinearities
• Robust performance analysis for uncertain negative‐imaginary systems
• Stability Robustness of a Feedback Interconnection of Systems With Negative Imaginary Frequency Response
• A Negative Imaginary Lemma and the Stability of Interconnections of Linear Negative Imaginary Systems
• Systems With Counterclockwise Input–Output Dynamics
• Stability Analysis of Interconnected Systems With “Mixed” Negative-Imaginary and Small-Gain Properties
• Control of hysteretic systems through inverse compensation
• Integral control of infinite-dimensional systems in the presence of hysteresis: an input-output approach
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