a$)$ A Proton engineer needs to fill in the procedures for Genetic Algorithms $($GA$)$ technique shown in Fig. $3$ for power train output accurate prediction. Define the binary bits generated in the next genetic steps $C1$ and $C2$ based on binary bits from parents, $P1$ and $P2.$

$3$

MCTE $4322$ Intelligent Control

Hint: Initial $P1$ and $P2$ are:

$\backslash$table$[[1,1,0,1,0,1,0,1,0],[,1,1,0,0,1,1,0,0]]$

b$)$ With the help of block diagram, discuss how the Genetic Algorithm $($GA$)$ technique can be used in search of unknown parameters estimation.

c$)$ Design a model prediction for data signals tabulated in Table $2$ with probability of crossover, $P_C=0\mathrm{.}5$ and the probability of mutation, $P_M=0\mathrm{.}1.$ The weighted roulette wheel is used in the selection criteria and the objective function is $E(k)=\frac{1}{2}(d(k)-y(k){)}^2.$ In which part, is the Stochastic characteristic of random search exist?

Table $2$

$\backslash$table$[[$Starting Generation$],[$Phenotypes$,$Genotypes,Fitness$],[302130583240,000101010011101011110000,0\mathrm{.}67],[301730593165,000100010011101110100101,0\mathrm{.}23],[303631853120,001001001011100101111000,0\mathrm{.}45],[319730883106,110001010101100001101010,0\mathrm{.}94]]$