access icon free Observer-based H control for discrete-time stochastic systems with quantisation and random communication delays

In this study, the authors are concerned with the observer-based quantised H control problem for a class of discrete-time stochastic systems with random communication delays. The system under consideration involves signals quantisation, state-dependent disturbance as well as random communication delays. The measured output and the control input quantisation are considered simultaneously by using the sector bound approach, while the random communication delays from the sensor to the controller and from the controller to the plant are modelled by a linear function of the stochastic variable satisfying Bernoulli random binary distribution. It is aimed at designing an observer-based controller such that the dynamics of the closed-loop system is guaranteed to be exponentially stable in the mean square, and a prescribed H disturbance attenuation level is also achieved. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.

Inspec keywords: delays; asymptotic stability; discrete time systems; observers; closed loop systems; probability; control system synthesis; stochastic systems; quantisation (signal); H∞ control

Other keywords: closed-loop system; sector bound approach; stochastic variable; discrete-time stochastic systems; control input quantisation; H∞ disturbance attenuation level; simulation example; linear function; observer-based quantised H∞ control problem; state-dependent disturbance; signal quantisation; measured output quantisation; exponential stability; random communication delays; Bernoulli random binary distribution; mean square method

Subjects: Stability in control theory; Discrete control systems; Distributed parameter control systems; Other topics in statistics; Control system analysis and synthesis methods; Time-varying control systems; Signal processing theory; Optimal control

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