FiniteTime Synchronization of FractionalOrder Energy Resources DemandSupply Hyperchaotic Systems Via FractionalOrder PredictionBased Feedback Control Strategy With BioInspired Multiobjective Optimization

Abstract

The concept of fractionalorder control (FoC) is exploited in this paper to synchronize fractionalorder dynamical systems. The addressed systems in this paper reflect the real physical phenomena characterized by the complicated relationship between supply and demand for energy resources in the Shanghai area. Thus, we provide the developed fractional energy resource attractor and the simulation results regarding synchronization under the proposed control law of the same fractional energy resource attractor. Note that most of the synchronization methods achieved excellent performance when dealing with complex continuous systems; however, no method addressed the synchronization problem of fractionalorder energy resource systems based on the FoC and modern optimization techniques, to the best of our knowledge. By designing the finitetime control theory, the finitetime full synchronization of two identical fractionalorder energy resources demandsupply hyperchaotic systems (FoERDSHSs) is investigated due to its performance. The advanced predictionbased fractionalorder control law (PbFoCL) is established for finitetime synchronization of FoERDSHSs. The design procedure becomes a multiobjective optimization problem of the knowledge base of the developed controller while satisfying the desired performance requirements. The FiniteTime Stability (FTS) of the controlloop system is proved by using the finitetime Lyapunov stability theory. Furthermore, the Improved Artificial Hummingbird Algorithm (IAHA) is used to find an optimal knowledge base of PbFoCL while achieving the design constraints. Simulation results are provided to verify the efficiency of the proposed control strategy.