Quantized output feedback stabilization for nonlinear discrete-time systems subject to saturating actuator

• Published in: Nonlinear dynamics Vol. 83; no. 1-2; pp. 305 - 317
• Main Authors: Song, Gongfei, Li, Tao, Li, Yuanlu, Lu, Junwei
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.01.2016; Springer Nature B.V
• Subjects: Actuators; Automotive Engineering; Classical Mechanics; Constants; Control; Control theory; Convexity; Discrete time systems; Dynamical Systems; Ellipsoids; Engineering; Feedback control; Lipschitz condition; Mechanical Engineering; Nonlinear dynamics; Nonlinear systems; Nonlinearity; Optimization; Original Paper; Output feedback; Stabilization; Static electricity; Vibration; Quantized output; Nonlinear discrete-time systems; Saturating actuator; Quantized control input; Output feedback stabilization
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-015-2327-3

The quantized output feedback stabilization problem for nonlinear discrete-time systems with saturating actuator is investigated. The nonlinearity is assumed to satisfy the local Lipschitz condition. Different from the previous results where the Lipschitz constant is predetermined, a more general case is considered, where the maximum admissible Lipschitz constant through convex optimization is obtained. In this framework, two kinds of quantizations are derived simultaneously: quantized control input and quantized output. Furthermore, sufficient conditions for the existence of static output feedback control laws are given. The desired controllers ensure that all the trajectories of the closed-loop system will converge to a minimal ellipsoid for every initial condition emanating from a large admissible domain. Finally, four illustrative examples are provided to show the effectiveness of the proposed approach.