A new algorithm was developed to make a discrete-time dynamical system chaotic or hyperchaotic by adjusting the placement of Lyapunov exponents. The controlled system created using this algorithm exhibits chaotic behavior according to Devaney's definition, with at least one Lyapunov exponent being greater than a specified constant. The algorithm can also generate multiple positive Lyapunov exponents, leading to chaotic systems. Two examples were provided to demonstrate the effectiveness of the algorithm, showing that it can successfully induce chaos in the system.