Adaptive robust H ∞ filter design for linear systems with time-varying uncertainty

DOI10.1080/00207170802179947zbMath1168.93408OpenAlexW2012849956MaRDI QIDQ5323248

Dan Ye, Guang-Hong Yang

Publication date: 23 July 2009

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

Full work available at URL: http://www.informaworld.com/smpp/./content~db=all~content=a903533036

zbMATH Keywords

linear matrix inequalities (LMIs)robust filteringtime-varying uncertainty\(\mathcal H_\infty\) filterindirect adaptive method

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Control/observation systems with incomplete information (93C41) Linear systems in control theory (93C05)

Related Items (8)

Pathwise stochastic control with applications to robust filtering ⋮ New globally asymptotical synchronization of chaotic systems under sampled-data controller ⋮ Robust switching-type \(H_{\infty }\) filter design for linear uncertain systems with time-varying delay ⋮ Parameter Uncertainty in the Kalman--Bucy Filter ⋮ filtering for stochastic systems driven by Poisson processes ⋮ Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control ⋮ Stabilisation of time-varying linear systems via Lyapunov differential equations ⋮ Derandomisation-based multiple frequency control for stochastic Markov jump systems

Uses Software

• LMI toolbox

Cites Work

• Improved robust \(H_{2}\) and \(H_{\infty}\) filtering for uncertain discrete-time systems
• Optimal linear filtering under parameter uncertainty
• Robust H/sub 2//H/sub ∞/ filtering for linear systems with error variance constraints
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• A New Approach to the H_∞ Design of Optimal Digital Linear Filters
• Filtering and smoothing in an H/sup infinity / setting
• H_∞ estimation for discrete‐time linear uncertain systems
• H∞ estimation for uncertain systems
• Parameterized LMIs in Control Theory
• LPV system analysis via quadratic separator for uncertain implicit systems
• New approach to mixed H/sub 2//H/sub /spl infin// filtering for polytopic discrete-time systems

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