Sentence examples for matrix of the observer from inspiring English sources

Furthermore, a gain matrix of the observer is given.

Moreover, the gain matrix of the observer is solved by two optimization procedures under the constraints of the linear matrix inequalities.

Complete parameterizations for all the observer gains as well as the eigenvector matrix of the observer system matrix are established in terms of three sets of design parameters which satisfy three basic and simple constraints.

As a result, the gain matrices of the observer and the controller can be calculated separately.

Three algorithms which only involve matrix operations are proposed to assign values to the structure matrices of the observer B and the control unit F. In the framework of the STP of matrices, a new algebraic expression for the dynamics of the separated closed-loop system is established and we can easily verify the results of the model matching problem.

Then, for saving the computing time and effectively reducing the effect of the disturbances to the residual, the main frequencies of the disturbances have been identified by the spectrum analysis of the residual created by the conventional observer and the zeros assignment methodology has been applied to get one feedback matrix of the robust observer.

Taking use of algebraic Riccati equations and linear matrix inequalities, necessary and sufficient conditions for the existence of the state observer based on circularly regional pole assignment is proposed and the formulation of the gain matrix of the state observer is given.

However, a constructive method for the construction of the transformation matrix and the observer gain, making the observation error dynamics positive and stable, is still missing and remains an open problem.

Finally, the rest of the feedback matrices of the robust observer can be obtained by solving an optimal problem with H∞,F/H−,F as the minimizing object.

Studies have demonstrated that observing another person experience pain activates a large part of the pain matrix in the observer and this in turn could result in empathic concern and sympathy in the observer [ 22].

The design of the observer matrix gain is achieved by solving a Linear Matrix Inequality (LMI) feasibility problem, where constraints on the position in the complex plane of the poles of the estimation error dynamics are taken into account.