Extended LMI characterizations for stability and performance of linear systems
From MaRDI portal
Publication:2390529
DOI10.1016/j.sysconle.2009.03.001zbMath1166.93014OpenAlexW2080183610MaRDI QIDQ2390529
Bram Demeulenaere, Lieven Vandenberghe, Goele Pipeleers, Jan Swevers
Publication date: 23 July 2009
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://lirias.kuleuven.be/handle/123456789/224417
Linear inequalities of matrices (15A39) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Robust stability (93D09)
Related Items
Stochastic fault and cyber-attack detection and consensus control in multi-agent systems ⋮ A novel two-stage strategy for robust \(H_\infty\) filter design of uncertain discrete-time systems ⋮ Linear matrix inequalities for analysis and control of linear vector second‐order systems ⋮ On exploiting inexact scheduling parameters for gain-scheduled control of linear parameter-varying discrete-time systems ⋮ On some relaxations commonly used in the study of linear systems ⋮ Robust and nonlinear control literature survey (No. 14) ⋮ Static output-feedback robust gain-scheduling control with guaranteed \(\mathcal H_2\) performance ⋮ \(H_{\infty}\) gain-scheduled control for LPV stochastic systems ⋮ Characterization of feedback Nash equilibria for multi-channel systems via a set of non-fragile stabilizing state-feedback solutions and dissipativity inequalities ⋮ Extended LMI representatives for stability and stabilization of discrete-time Takagi-Sugeno fuzzy systems ⋮ One-shot design of performance scaling matrices and observer-based gain-scheduled controllers depending on inexact scheduling parameters ⋮ Boundary control design for conservation laws in the presence of measurement disturbances ⋮ Control co-design for discrete-time switched linear systems ⋮ State estimation of linear systems in the presence of sporadic measurements ⋮ L2-based static output feedback controller design for a class of polytopic systems with actuator saturation ⋮ A single dynamic observer-based module for design of simultaneous fault detection, isolation and tracking control scheme ⋮ Less conservative optimal robust control of a 3-DOF helicopter ⋮ RobustH∞filtering for singular Markovian jump systems via decoupling and substitution principles ⋮ Discretization and event triggered digital output feedback control of LPV systems ⋮ Conservatism reduction for linear parameter‐varying control design facing inexact scheduling parameters illustrated on flight tests ⋮ New iterative linear matrix inequality based procedure for H2 and H∞ state feedback control of continuous‐time polytopic systems ⋮ Stabilization of continuous-time linear systems subject to input quantization ⋮ Simultaneous design of robust gain‐scheduled static output‐feedback controller and scaling matrices for linear parameter varying systems with inexact scheduling parameters ⋮ Periodic switching control under quantized state feedback based on spherical polar coordinate quantizer ⋮ Mixed H2/H∞ model reference control of linear parameter‐varying discrete‐time systems with real‐time application to aeropendulum system ⋮ H∞ performance of multi‐agent consensus with output feedback and saturated input ⋮ Observer-based mixed \(\mathcal H_2/\mathcal H_{\infty}\) tracking control for continuous-time systems with integral action and pole placement ⋮ Less conservative control design for linear systems with polytopic uncertainties via state-derivative feedback ⋮ Optimal fuzzy control for a class of nonlinear systems ⋮ Improved synthesis conditions for mixed H2/H∞ gain-scheduling control subject to uncertain scheduling parameters ⋮ Robust control with finite frequency specification for uncertain discrete linear repetitive processes ⋮ \(H_\infty\) control of pairwise distributable large-scale TS fuzzy systems ⋮ Dilated LMI characterisations for linear time-invariant singular systems ⋮ On bounded real matrix inequality dilation ⋮ Robust \(H_\infty\)~filtering for a class of discrete-time Lipschitz nonlinear systems ⋮ Robust gain-scheduling \(\mathcal{H}_\infty\) control of uncertain continuous-time systems having magnitude- and rate-bounded actuators: an application of full block S-procedure ⋮ Dynamic output feedback control synthesis for stochastic time-delay systems ⋮ Simultaneous fault detection and control for stochastic time-delay systems ⋮ Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties ⋮ Simultaneous fault detection and containment control design for multi-agent systems with multi-leaders ⋮ Positive real control for discrete-time singular systems with affine parameter dependence ⋮ Generalized \(H_{\infty}\) model reduction for stable two-dimensional discrete systems ⋮ Robust Input Covariance Constraint Control for Uncertain Polytopic Systems ⋮ Digital redesign of analogue dynamic output-feedback controllers for polytopic systems ⋮ Event-triggered simultaneous fault detection and tracking control for multi-agent systems ⋮ Synthesis of strictly positive real ℋ2 controllers using dilated LMIs ⋮ Observer design for Takagi-Sugeno descriptor models: an LMI approach ⋮ Simultaneous fault detection and consensus control design for a network of multi-agent systems ⋮ Simultaneous actuator fault estimation and fault-tolerant tracking control for multi-agent systems: a sliding-mode observer-based approach
Cites Work
- Unnamed Item
- Unnamed Item
- Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
- Robust \(H_{2}\) and \(H_{\infty }\) filtering for uncertain linear systems
- An equivalent LMI representation of bounded real Lemma for continuous-time systems
- LMI characterization of structural and robust stability
- LMI characterization of structural and robust stability: The discrete-time case
- Alexander Mikhailovitch Lyapunov: On the centenary of his doctoral dissertation on stability of motion
- On the Kalman-Yakubovich-Popov lemma
- A new robust D-stability condition for real convex polytopic uncertainty
- New dilated LMI characterizations for continuous-time multiobjective controller synthesis
- Improved robust \(H_{2}\) and \(H_{\infty}\) filtering for uncertain discrete-time systems
- A new discrete-time robust stability condition
- New characterization of positive realness and control of a class of uncertain polytopic discrete-time systems
- Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems
- Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
- A linear matrix inequality approach to H∞ control
- Linear Matrix Inequalities in System and Control Theory
- Multiobjective output-feedback control via LMI optimization
- Continuous-time analysis, eigenstructure assignment, and H/sub 2/ synthesis with enhanced linear matrix inequalities (LMI) characterizations
- Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty
- Robust Filtering of Discrete-Time Linear Systems with Parameter Dependent Lyapunov Functions
- H/sub ∞/ design with pole placement constraints: an LMI approach
- Alternative proofs for improved lmi representations for the analysis and the design of continuous-time systems with polytopic type uncertainty: a predictive approach
