Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures With Free Body Motion
From MaRDI portal
Publication:2982986
DOI10.1109/TAC.2014.2325692zbMath1360.70011arXiv1305.1079MaRDI QIDQ2982986
Ian R. Petersen, Mohamed Mabrok, Alexander Lanzon, Abhijit G. Kallapur
Publication date: 16 May 2017
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.1079
Automated systems (robots, etc.) in control theory (93C85) Robot dynamics and control of rigid bodies (70E60)
Related Items (34)
Robust formation control for networked robotic systems using negative imaginary dynamics ⋮ Output feedback negative imaginary synthesis under structural constraints ⋮ Forward action to make a system negative imaginary ⋮ Robust stability conditions for feedback interconnections of distributed-parameter negative imaginary systems ⋮ Closed-loop stability analysis of discrete-time negative imaginary systems ⋮ Robust output consensus of homogeneous multi-agent systems with negative imaginary dynamics ⋮ Static output feedback negative imaginary controller synthesis with an \(H_\infty\) norm bound ⋮ An observer-based control scheme using negative-imaginary theory ⋮ Discrete-time negative imaginary systems ⋮ Properties and stability analysis of discrete-time negative imaginary systems ⋮ Retrofitting of bridge superstructures using negative imaginary control theory ⋮ H∞ model reduction for negative imaginary systems ⋮ Static output feedback negative imaginary controller design with H 2 performance ⋮ Making nonlinear systems negative imaginary via state feedback ⋮ Robust output consensus of networked negative imaginary systems via an integral quadratic constraint approach ⋮ Robust cooperative control of multiple heterogeneous negative-imaginary systems ⋮ Strictly negative imaginary state feedback control with a prescribed degree of stability ⋮ Moment matching model reduction for negative imaginary systems ⋮ Negative imaginary synthesis via dynamic output feedback and static state feedback: a Riccati approach ⋮ On LTI output strictly negative-imaginary systems ⋮ Robustness analysis of the feedback interconnection of discrete-time negative imaginary systems via integral quadratic constraints ⋮ Applying negative imaginary systems theory to non-square systems with polytopic uncertainty ⋮ On α- andD-negative imaginary systems ⋮ On non-proper negative imaginary systems ⋮ Solution to negative-imaginary control problem for uncertain LTI systems with multi-objective performance ⋮ On decentralized integral controllability of stable negative-imaginary systems and some related extensions ⋮ Necessary and sufficient conditions for lossless negative imaginary systems ⋮ Stability analysis and controller design for Lur'e system with hysteresis nonlinearities: a negative-imaginary theory based approach ⋮ A frequency-domain approach to nonlinear negative imaginary systems analysis ⋮ Control of negative imaginary systems exploiting a dissipative characterization ⋮ A generalized negative imaginary lemma and Riccati-based static state-feedback negative imaginary synthesis ⋮ Controller synthesis for negative imaginary systems using nonlinear optimisation and H2 performance measure ⋮ Interval frequency negative imaginary systems ⋮ Absolute stability analysis for negative-imaginary systems
This page was built for publication: Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures With Free Body Motion