On the synthesis of linear \(H_\infty\) filters for polynomial systems

DOI10.1016/j.sysconle.2011.09.003zbMath1250.93119OpenAlexW81416335MaRDI QIDQ450688

Graziano Chesi, Ping Li, James Lam

Publication date: 14 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.09.003

zbMATH Keywords

iterative algorithmpolynomial systems\(H_{\infty }\)-filteringfixed-order filteringsum of squares (SOS)

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Nonlinear systems in control theory (93C10) Estimation and detection in stochastic control theory (93E10) Synthesis problems (93B50) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

An LMI-based discrete time nonlinear observer for light-emitting diode optical communication ⋮ Filtering and fault detection for nonlinear systems with polynomial approximation ⋮ Filter design for continuous-time linear systems subject to sensor saturation ⋮ \(\mathcal{H}_\infty\) filter design for nonlinear polynomial systems ⋮ and filter design for polytopic continuous‐time Markov jump linear systems with uncertain transition rates ⋮ Peak-to-peak filtering for periodic piecewise linear polytopic systems

Uses Software

• Sostools
• SeDuMi
• GloptiPoly
• YALMIP

Cites Work

• Unnamed Item
• Unnamed Item
• \(H_ \infty\) filtering for a class of uncertain nonlinear systems
• \(H_\infty \) filtering for nonlinear discrete-time stochastic systems with randomly varying sensor delays
• Positive polynomials in control.
• Robust nonlinear \(\mathcal H_ \infty\) filtering
• Homogeneous polynomial forms for robustness analysis of uncertain systems
• \(H_\infty\) filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities
• Central suboptimalH_∞filter design for nonlinear polynomial systems
• Central suboptimalH_∞controller design for linear time-varying systems with unknown parameters
• GloptiPoly 3: moments, optimization and semidefinite programming
• Fault-tolerant control synthesis for a class of nonlinear systems: Sum of squares optimization approach
• LMI optimization approach to robustH_∞observer design and static output feedback stabilization for discrete-time nonlinear uncertain systems
• Filtering and smoothing in an H/sup infinity / setting
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Robust H/sub /spl infin// filtering for stochastic time-delay systems with missing measurements
• Simultaneous Stabilization and Robust Control of Polynomial Nonlinear Systems Using SOS Techniques
• LMI Techniques for Optimization Over Polynomials in Control: A Survey
• Delay-dependent robust H/sub ∞/ and L/sub 2/-L/sub ∞/ filtering for a class of uncertain nonlinear time-delay systems
• Nonlinear Control Synthesis by Convex Optimization
• Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach
• Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback
• On the Gap Between Positive Polynomials and SOS of Polynomials
• Reduced-order H/sub ∞/ filtering for stochastic systems

This page was built for publication: On the synthesis of linear \(H_\infty\) filters for polynomial systems