Pole Assignment and Decoupling of Descriptor Systems

Robust pole assignment for descriptor systems

By using a generalized Sylvester equation based parametrization, three minimum norm robust pole assignment problems for descriptor systems are formulated as unconstrained minimization problems for suitably chosen cost functions. The derived explicit expressions of the gradients of the cost functions allow the efficient solution of the minimization problems by using powerful gradient search base...

Pole Assignment Of Linear Discrete-Time Periodic Systems In Specified Discs Through State Feedback

The problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. The former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. Nevertheless, now we can obtain the location of eigenvalues ...

Partial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback

A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...

Dominant Pole Assignment for Time Delay Systems

The paper presents an original method of designing state variable feedback in time delay systems assigning the dominant system poles on prescribed positions in the splane. For the feedback parameter adjustment a design method has been developed based on application of sensitivity functions, i.e. gradient derivatives of the characteristic quasipolynomial. The prescription of desired zeros as cru...

Strong decoupling of descriptor systems via proportional state feedback