Fuzzy-Affine-Model-Based Sampled-Data Filtering Design for Stochastic Nonlinear Systems
Jianbin Qiu, Wenqiang Ji, Hak‐Keung Lam, Meng Wang
Abstract
This article addresses the sampled-data piecewise affine (PWA) filter design problem for Itô stochastic nonlinear systems represented by Takagi–Sugeno fuzzy affine models. An input delay method is used to describe the sample-and-hold behavior of the measurement output. Based on a novel piecewise quadratic Lyapunov–Krasovskii functional, some new results on the robust sampled-data PWA filtering design are proposed through a linearization procedure by using some convexification techniques. Simulation studies on a tunnel diode circuit system, and an inverted pendulum system are given to illustrate the effectiveness of the proposed method.
Topics & Concepts
Control theory (sociology)Affine transformationNonlinear systemLinearizationFuzzy control systemFuzzy logicMathematicsPiecewiseFilter (signal processing)Inverted pendulumQuadratic equationComputer scienceArtificial intelligenceMathematical analysisQuantum mechanicsControl (management)GeometryPure mathematicsComputer visionPhysicsStability and Control of Uncertain SystemsControl Systems and IdentificationFault Detection and Control Systems