Design of Hybrid Regrouping PSO-GA based Sub-optimal Networked Control System with Random Packet Losses

摘要

In this paper, a new approach has been presented to design sub-optimal statefeedback regulators over Networked Control Systems (NCS) with random packetlosses. The optimal regulator gains, producing guaranteed stability aredesigned with the nominal discrete time model of a plant using Lyapunovtechnique which produces a few set of Bilinear Matrix Inequalities (BMIs). Inorder to reduce the computational complexity of the BMIs, a Genetic Algorithm(GA) based approach coupled with the standard interior point methods for LMIshas been adopted. A Regrouping Particle Swarm Optimization (RegPSO) basedmethod is then employed to optimally choose the weighting matrices for thestate feedback regulator design that gets passed through the GA based stabilitychecking criteria i.e. the BMIs. This hybrid optimization methodology putforward in this paper not only reduces the computational difficulty of thefeasibility checking condition for optimum stabilizing gain selection but alsominimizes other time domain performance criteria like expected value of theset-point tracking error with optimum weight selection based LQR design for thenominal system.