A generalized nonlinear \(\mathcal{H}_\infty\) order filter design for discrete-time Lipschitz descriptor systems

DOI10.1016/j.nonrwa.2013.04.003zbMath1291.93230OpenAlexW1999902676MaRDI QIDQ2253305

Zexu Zhang, Jingcheng Xu, Lin Li

Publication date: 25 July 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2013.04.003

zbMATH Keywords

Lyapunov stabilityLipschitz condition\(\mathcal{H}_\infty\) full-order filterLMI-based conditionnonlinear discrete-time descriptor systems

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (8)

Dissipative sampled-data controller design for singular networked cascade control systems ⋮ Perturbed Ishikawa-hybrid quasi-proximal point algorithm with accretive mappings for a fuzzy system ⋮ \(H_{\infty}\) filtering for discrete-time singular Markovian jump systems with generally uncertain transition rates ⋮ Super-twisting-algorithm-based terminal sliding mode control for a bioreactor system ⋮ Reliable \(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) control for nonlinear singular systems via dynamic output feedback ⋮ \( \mathcal{H}_\infty\) filtering for discrete-time nonlinear singular systems with quantization ⋮ Robust generalized filtering of uncertain Lipschitz nonlinear systems under measurement delays ⋮ New results onH_∞filtering for nonlinear large-scale systems with interconnected time-varying delays

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