access icon free control for networked stochastic non-linear systems with randomly occurring sensor saturations, multiple delays and packet dropouts

© The Institution of Engineering and Technology
Received 10/03/2017, Accepted 21/08/2017, Revised 18/07/2017, Published 23/08/2017

This study investigates an control problem for a class of stochastic non-linear systems where the measurement outputs subject to randomly occurring sensor saturations are transmitted through the network link and will inevitably encounter the random delays and multiple packet dropouts. The network-induced phenomena have the random nature which is governed by Bernoulli distributed stochastic variables. The existence of transmission delays will lead to the packets arriving at the receiver side with one or multiple or none at each sampling instants, which are stored in a finite buffer and are all used to update the observer. By employing stochastic analysis and Lyapunov functional approaches, an observer-based non-linear controller is designed via linear matrix inequality technique. The asymptotic stability with a given disturbance attenuation level is guaranteed by solving the feasibility of certain LMI. A simulation example is exploited to illustrate the usefulness and effectiveness of the proposed method.

Inspec keywords: Lyapunov methods; linear matrix inequalities; stochastic systems; asymptotic stability; delays; H∞ control; observers; nonlinear control systems; networked control systems; control system synthesis

Other keywords: observer-based nonlinear H∞ controller; asymptotic stability; linear matrix inequality; Lyapunov function; Bernoulli distributed stochastic variables; stochastic analysis; disturbance attenuation; multiple delays; networked stochastic nonlinear systems; randomly occurring sensor saturations; packet dropouts

Subjects: Control system analysis and synthesis methods; Optimal control; Distributed parameter control systems; Algebra; Simulation, modelling and identification; Nonlinear control systems; Time-varying control systems; Stability in control theory

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