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The problem of guaranteed cost (GC) control using static-state feedback controllers for uncertain linear discrete time-delayed systems subjected to actuator saturation is studied in this paper. The stability analysis of closed-loop systems is carried out using a Lyapunov-Krasovskii functional. Conditions for the existence of state-feedback GC controllers are developed using a linear matrix inequality (LMI)-based criterion. The approach ensures a sufficient performance bound over all the acceptable parameter uncertainties. The scheme of the optimal GC controller problem is framed as a convex optimization problem with LMI constraints. The design of GC controllers for discrete-time systems subjected to actuator saturation without considering the effect of state-delay is also discussed. The effectiveness of the proposed approach is illustrated using suitable examples.

The effect of adding several nanofillers such as montmorillonite (nanoclay), multi-walled carbon nanotube (MWCNT) and reduced graphene oxide on electrical and optical properties of polycarbazole (PCz) has been experimentally characterised. Polymerisation and deposition of PCz-based nanocomposite films on Indium Tin Oxide (ITO) coated glass substrate were performed using electrochemical method. Different nanocomposite films were characterised with respect of morphology, bandgap, and conductivity. The effect of nanofillers on the electrical characteristics of Al/PCz Schottky diodes was subsequently studied with devices fabricated in the laboratory. The experimental results demonstrate a radical improvement in the electrical behaviour of the semiconducting polymer after incorporation of nanofillers. It is found from the experimental results that the conductivity is highest and the bandgap is smallest in the case of PCz nanocomposite film using MWCNT as a nanofiller.

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