A new decentralised controller design method for a class of strongly interconnected systems

DOI10.1080/00207179.2016.1173230zbMath1359.93017OpenAlexW2334449897MaRDI QIDQ2978039

Lin Huang, Zhi-Sheng Duan, Zhong-Ping Jiang

Publication date: 21 April 2017

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

Full work available at URL: https://doi.org/10.1080/00207179.2016.1173230

zbMATH Keywords

absolute stabilitydecentralized controlunstable subsystemsstrict positive realness (SPR)large gain coupling

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Decentralized systems (93A14) Robust stability (93D09) Synthesis problems (93B50) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

Construction of a Lyapunov function for a linear large-scale periodic system with possibly unstable subsystems ⋮ An iterative approach toH₋/H_∞Fault Detection Observer Design for Discrete-Time Uncertain Systems ⋮ Structured output-feedback controller synthesis with design specifications ⋮ On asynchronous event-triggered control of decentralized networked systems

Uses Software

• LMI toolbox

Cites Work

• Robust \(H_{2}\) and \(H_{\infty }\) filtering for uncertain linear systems
• On a large-gain theorem
• A combined backstepping and small-gain approach to adaptive output feedback control
• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• Decentralized control through parameter space optimization
• On the Kalman-Yakubovich-Popov lemma
• A new robust D-stability condition for real convex polytopic uncertainty
• Robust stabilization of nonlinear systems: The LMI approach
• A parametrization approach to optimal \(H_ 2\) and \(H_{\infty}\) decentralized control problems
• Characterizations of decentralized fixed modes for interconnected systems
• Small-gain theorem for ISS systems and applications
• Structural properties of large-scale systems possessing similar structures
• A new discrete-time robust stability condition
• Stability analysis and decentralized control of a class of complex dynamical networks
• Some applications of small gain theorem to interconnected systems
• A Heuristic Approach to Static Output-Feedback Controller Synthesis With Restricted Frequency-Domain Specifications
• Stabilization of Linear Time-Invariant Interconnected Systems Using Local State Feedback
• Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
• A revisited Popov criterion for nonlinear Lur'e systems with sector-restrictions
• Decentralized output feedback robust stabilization for a class of nonlinear interconnected systems with similarity
• Design of strictly positive real systems using constant output feedback
• Sufficient LMI conditions for output feedback control problems
• On the stabilization of decentralized control systems
• Optimization of Static Output Feedback Using Substitutive LMI Formulation
• Decentralized \(H_\infty\) controller design: A matrix inequality approach using a homotopy method
• Decentralized control of symmetric systems

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