Sentence examples for matrices and controller from inspiring English sources

In order to reach to the desired performance in vibration attenuation, a robust controller is designed by considering the uncertainties that exist in the system matrices and controller itself.

Then, by introducing slack matrices, the Lyapunov matrices are decoupled from the feedback gain matrices and controller affine terms which lead to eliminate the structural constraints of Lyapunov matrices and consequently reduces the conservativeness of the proposed approach.

The drive-response system (9) is said to be synchronized in n dimension under the control matrix (L_{1}) and controller (20).

Based on linear matrix inequality (LMI), the problem of H∞ guaranteed cost control for a class of descriptor system is addressed, where the uncertainties exist in the systematic matrix and the controller gain.

Based on lifting technique and Youla-parametrization, the 2-DOF controller design, i.e., the design of ILC and IFT, is formulated into one constrained optimization problem where an optimal combination of the learning matrix and feedback controller is found in each iteration with guaranteed stability.

The computation-oriented conditions of the disturbance observer gains and controller matrices for the controlled plant are provided based on the piecewise quadratic Lyapunov functional approach.

Simulations show that the controller is capable of suppressing the vibration in existence of both the structured uncertainty in the system matrices and the feedback controller gain.

This makes it possible to use the resulting dynamic PLS model for control system design by employing precompensators and postcompensators constructed from the input and output loading matrices and basing the controller for the compensated plant on the dynamic inner relation of the modified PLS model.

In doing so, the coupling of Lyapunov function and controller matrix can be eliminated effectively.

It is shown that these can be used to determine optimal triangularly decoupling controllers for minimum-time or sum of squared errors performance measures, parametrize admissible controllers, characterize all achievable closed-loop transfer matrices, and design fully decoupling controllers.

Sufficient conditions are derived for the existence of the desired disturbance observer gains, controller matrices, and anti-windup compensation gains, guaranteeing prescribed performances.