Fuzzy-Affine-Model-Based Sliding-Mode Control for Discrete-Time Nonlinear 2-D Systems via Output Feedback
Wenqiang Ji, Jianbin Qiu, Hak‐Keung Lam
Abstract
This work investigates the issue of output-feedback sliding-mode control (SMC) for nonlinear 2-D systems by Takagi-Sugeno fuzzy-affine models. Via combining with the sliding surface, the sliding-mode dynamical properties are depicted by a singular piecewise-affine system. Through piecewise quadratic Lyapunov functions, new stability and robust performance analysis of the sliding motion are carried out. An output-feedback dynamic SMC design approach is developed to guarantee that the system states can converge to a neighborhood of the sliding surface. Simulation studies are given to verify the validity of the proposed scheme.
Topics & Concepts
Control theory (sociology)Sliding mode controlAffine transformationNonlinear systemDiscrete time and continuous timeOutput feedbackFuzzy logicMode (computer interface)Variable structure controlComputer scienceMathematicsControl (management)PhysicsArtificial intelligencePure mathematicsOperating systemStatisticsQuantum mechanicsAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsFuzzy Logic and Control Systems