Quantum Genetic Lmi-Based H∞ Control With Time Delay

One of the main problems underlying most optimization theories is local optimum. when time delays are presented, this issue becomes much more problematic. in such conditions, evolutionary optimization algorithms are proven to be helpful. in this paper, quantum genetic algorithm (qga) has been used to tackle the stated problem in the framework of delaydependent linear matrix inequality (lmi) robust h∞ control. qga is employed to find suitable feedback gains and delaydependent lmi solvers are concerned to resolve stability issues. in addition, to provide more balance between exploration and exploitation, to increase convergence rate as well as to prevent premature convergence, it is proposed that particle swarm optimization (pso) is augmented with qga. simulation is dealt with lmi-based h∞ control scheme of the qga and qgapso optimization space from the design point of onedegree freedom single link scara robot. the whole controller satisfies the desired properties for uncertain but known constant bounded time delay. furthermore, one of the drawbacks found in tests of most hybrid globallocal strategies, i.e. premature convergence, has been cancelled by the proposed scheme of qga and pso.