A1 F. Rasool

A1 S.K. Nguang

PB iet

T1 Quantised robust ℋ

JN IET Control Theory & Applications

VO 4

IS 11

SP 2252

OP 2262

AB In this study, a stability criterion and robust ℋ∞ mode delay-dependent quantised dynamic output feedback controller design problem for discrete-time systems with random communication delays, packet dropouts and quantisation errors are investigated. Random communication delays from the sensor to controller network are modelled using a finite-state Markov chain with a special transition probability. A logarithmic quantiser is used to quantise the measured output. The Lyapunov–Krasovskii (L–K) functional approach is used to derive the stochastic stability criterion for the system with a given attenuation level. Sufficient conditions for the existence of an output feedback controller is formulated in terms of bilinear matrix inequalities (BMIs). Owing to the special transition probability matrix, a new slack matrix is added to BMIs to relax the sufficient conditions for the existence of an output feedback controller. Furthermore, an iterative algorithm is used to convert the BMIs into the quasi-convex optimisation problem which can be solved easily. An example is given to demonstrate the effectiveness of the proposed design.

K1 stochastic stability criterion

K1 iterative algorithm

K1 bilinear matrix inequalities

K1 quasi-convex optimisation problem

K1 finite-state Markov chain

K1 Lyapunov-Krasovskii functional approach

K1 quantised robust H∞ output feedback control

K1 logarithmic quantiser

K1 special transition probability

K1 random communication delays

K1 discrete-time systems

DO https://doi.org/10.1049/iet-cta.2009.0222

UL https://digital-library.theiet.org/;jsessionid=1ha7s2h3ifizh.x-iet-live-01content/journals/10.1049/iet-cta.2009.0222

LA English

SN 1751-8644

YR 2010

OL EN