Output-Feedback Control for Nonlinear Stochastic Systems With Successive Packet Dropouts and Uniform Quantization Effects

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 47; no. 7; pp. 1181 - 1191
• Main Authors: Li Sheng, Zidong Wang, Weibo Wang, Alsaadi, Fuad E.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.07.2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control systems; Controllers; Current measurement; Discrete time systems; Disturbances; Dropouts; Dynamical systems; Feedback control; input-to-state stability; Measurement; Nonlinear control; Nonlinear dynamics; nonlinear stochastic systems; Numerical stability; Output feedback; Probabilistic methods; Probability theory; Quantization (signal); Stability analysis; Stochastic systems; successive packet dropouts; Switching; Symmetric matrices; uniform quantization; v)-dependent noises
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2016.2563393

In this paper, the dynamic output-feedback control problem is studied for a class of discrete-time nonlinear stochastic systems with successive packet dropouts and uniform quantization effects. The stochastic system under investigation involves state-, control-, and disturbance-dependent noises (also called (x, u, v)-dependent noises) that bring in substantial difficulties in the stability analysis. The phenomenon of successive packet dropouts is governed by a binary switching random sequence. The measurement output is subject to the uniform quantization which results in the norm-bounded disturbances, and the concept of input-to-state stability in probability is introduced to deal with this kind of disturbances. In virtue of intensive stochastic analysis, several sufficient conditions are established to guarantee that the closed-loop system is input-to-state stable in probability under the effects of probabilistic packet dropouts as well as uniform quantizations. As an easy consequence, the design problem with linear output-feedback controllers is discussed for the benefits of practical applications and some simplified conditions are derived. Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.