This paper focuses on the modeling of two mechanical translation systems and the design of a linear quadratic controller. The state-space model for both systems is obtained and implemented, with the purpose of simulating the operation. Related to the design of the linear quadratic controller, the K matrix is obtained, which allows for minimizing the cost function related to the energy costs, produced in the states and inputs present in the state-space models of both mechanical systems. Then the optimized system model is obtained and studied.

This letter derives and discusses the superiority of a simple dc-link capacitor voltage control configuration for multilevel neutral-point-clamped converters with any number of levels. The control involves n−2 control loops regulating the difference between the voltage of neighbor capacitors. These control loops are inherently decoupled; i.e., they are independent and the control action of one loop does not affect the others. The good performance of such control is confirmed through simulations and experiments.