Exact(11)
If the pair is controllable then there exists a controller matrix such that the for any given prescribed set of complex numbers As a result, becomes also predefined accordingly.
If the pair is controllable, then there exists a controller matrix such that the for any given prescribed set of complex numbers As a result, is also predefined according to.
The general constrained structure of controller matrix is considered appropriate for both output feedback and decentralized control and the respective guaranteed cost control design scheme is presented.
where the superscript ' ( i ) ' stands for the i th row vector of matrix, '≈' stands for matrix similarity, I p − 1 denotes the ( p − 1 ) identity matrix and g j n T denotes some prefixed p-real row vector by the appropriate choice of the real controller matrix K j n, since ( A j n, B j n ) is controllable, towards the achievement of a suitable closed-loop stability degree.
Two strategies for designing the controller matrix are developed.
Some implementation aspects for the formulation of the ideal controller matrix are discussed.
Similar(49)
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.
We need to take into account this additional constraint when applying the geometric control theory to determine the controller matrices.
Then the controller matrices (20) satisfying Eqs.
Note that this condition does not depend on the controller matrices to be designed.
The controller matrices can be determined in a similar way to Section 3.3 as follows.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com