This study analyses the performance of downlink non-orthogonal multiple-access (NOMA) networks over independent but not necessarily identically distributed Rayleigh fading channels by deriving closed-form expressions ...
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This study analyses the performance of downlink non-orthogonal multiple-access (NOMA) networks over independent but not necessarily identically distributed Rayleigh fading channels by deriving closed-form expressions for the average signal-to-interference-plus-noise ratio (SINR), average achievable rate, and outage probability of all network users. Moreover, SINR-based power allocation strategies are studied. Specifically, the optimisationproblems of max-min SINR, multi-objective SINR, sum-SINR and proportional-fairness-SINR maximisation under minimum SINR constraints are formulated and shown to be non-convex. Additionally, the problems of total power and sum-SINR minimisation are also formulated. Particularly, the formulated problems take the form of linear-fractional programming problems. By applying intelligent reformulation techniques, these problems have been reformulated into convex optimisation problems, and thus efficiently solved. Numerical evaluations are presented to validate the derived closed-form expressions for the different performance metrics, which are found to be in agreement with the network simulation results. More importantly, it has been demonstrated that the user with the best channel conditions achieves full diversity order, whereas all the other users achieve diversity orders equivalent to their ordered channel conditions. Finally, the reformulated power allocation strategies are evaluated, and shown to coincide with the original problem formulations.
This study discusses the issue of the stabilisation of interval type-2 Takagi-Sugeno (T-S) fuzzy fractional order systems by designing the dynamic output feedback controller. In the system model, the system matrix has...
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This study discusses the issue of the stabilisation of interval type-2 Takagi-Sugeno (T-S) fuzzy fractional order systems by designing the dynamic output feedback controller. In the system model, the system matrix has no assuming limitations. Different membership functions are attached to the T-S fuzzy model and fuzzy controller. For fractional order of 0 < alpha < 1 case, sufficient conditions in terms of strict linear matrix inequalities are addressed. Then, for 1 < alpha < 2 order case, by some contragradient transformations, sufficient stability conditions in terms of convex optimisation problems are derived. All of the proposed theorems are strict linear matrix inequalities and can be solved in standard software. Finally, two numerical simulation examples are given to illustrate the effectiveness of the proposed method.
In this study, the authors propose a hybrid power line communication (PLC)/visible light communication (VLC)/radio frequency (RF) fronthaul with a fibre-based wired backhaul system to support massive number of smart d...
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In this study, the authors propose a hybrid power line communication (PLC)/visible light communication (VLC)/radio frequency (RF) fronthaul with a fibre-based wired backhaul system to support massive number of smart devices (SDs). Since a signal-to-noise ratio-based access point (AP) association and bandwidth (BW) allocation for each SD do not necessarily improve the system capacity, they propose novel and efficient AP association and BW allocation strategies to maximise the sum rate capacity (SRC) of the hybrid system under consideration. An optimisation problem is formulated for the SRC with the AP association and BW allocation as the optimisation parameters and a hierarchical decomposition method is used to convert the non-linear optimisation problem into a set of convex optimisation problems. Then, the proposed strategies are used to solve the optimisation problem in an iterative manner until the SRC converges to an optimal value. Further, an analytical approximation for the BW allocated to each SD for a given AP association is derived using the Lagrangian multiplier method. The performance of the proposed system is evaluated through extensive numerical results. Moreover, the effect of the increased number of SDs on the optimal SRC is analysed.
This study deals with the problem of observer-based finite-time H-infinity control for a class of one-sided Lipschitz (OSL) singular systems with uncertainties. The parameter uncertainties are assumed to be time-varyi...
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This study deals with the problem of observer-based finite-time H-infinity control for a class of one-sided Lipschitz (OSL) singular systems with uncertainties. The parameter uncertainties are assumed to be time-varying norm-bounded appearing not only in both the state and output matrices but also in the non-linear function. With the help of some special derivations and transformation, the sufficient conditions ensuring robust finite-time boundedness of the closed-loop system and satisfying the H-infinity performance index are given for OSL singular systems in terms of linear matrix inequalities (LMIs). Based on these, the observer and controller dynamics can be simultaneously involved in the design at one step. Two convex optimisation problems subject to LMIs are formulated to optimise the desired performance indices of interest to us. Finally, two examples are given to demonstrate the effectiveness of the proposed methods.
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