Probability-guaranteed robust \(H_{\infty }\) performance analysis and state-feedback design

DOI10.1016/S0167-6911(02)00289-XzbMath1157.93373OpenAlexW2068960577MaRDI QIDQ2503477

Isaac Yaesh, Uri Shaked, S. Boyarski

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(02)00289-x

zbMATH Keywords

Robustness\(H\)-infinity optimizationProbabilistic performanceState-feedback design

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) (H^infty)-control (93B36)

Related Items

An approach to output-feedback MPC of stochastic linear discrete-time systems, Probability-guaranteed state estimation for nonlinear delayed systems under mixed attacks, Probability-guaranteed set-membership filtering for systems with incomplete measurements, Dynamic‐event‐based state estimation of complex networks against attacks and innovation outliers: The probability constraint case, Probability-guaranteed \(H_\infty\) finite-horizon filtering for a class of nonlinear time-varying systems with sensor saturations, Recent advances on recursive filtering and sliding mode design for networked nonlinear stochastic systems: a survey, Finite-time control in probability for time-varying systems with measurement censoring, Discrete-timeH_∞andH₂control with structured disturbances and probability-relaxed requirements, Probability-guaranteed robust \(H_{\infty }\) performance analysis and state-feedback design, Robust \(H_{\infty }\) control design for best mean performance over an uncertain-parameters box, Reliability Modeling of Fault Tolerant Control Systems, An efficient reliability method for probabilistic H-infinity robust control of uncertain linear dynamic systems, Polytopic best-meanH_∞performance analysis, An efficient methodology for robust control of dynamic systems with interval matrix uncertainties

Cites Work

• Unnamed Item
• Unnamed Item
• Quadratic stabilizability of uncertain linear systems containing both constant and time-varying uncertain parameters
• Necessary and sufficient conditions for quadratic stabilizability of an uncertain system
• A survey of extreme point results for robustness of control systems
• The complex structured singular value
• A Monte Carlo approach to the analysis of control system robustness
• A new discrete-time robust stability condition
• Probability-guaranteed robust \(H_{\infty }\) performance analysis and state-feedback design
• Regulators for linear, time invariant plants with uncertain parameters
• Linear Matrix Inequalities in System and Control Theory
• Continuous-time analysis, eigenstructure assignment, and H/sub 2/ synthesis with enhanced linear matrix inequalities (LMI) characterizations
• Stabilization of Uncertain Systems with Norm Bounded Uncertainty—A Control Lyapunov Function Approach
• Structured and simultaneous Lyapunov functions for system stability problems
• Affine parameter-dependent Lyapunov functions and real parametric uncertainty
• Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
• Probabilistic robust design with linear quadratic regulators
• Randomized algorithms for robust controller synthesis using statistical learning theory