Eigenvalue assignment in linear descriptor systems via output feedback
نویسنده
چکیده
An approach for eigenvalue assignment in linear descriptor systems via output feedback is proposed. Sufficient conditions in order that a given set of eigenvalues is assignable are established. Parametric form of the desired output feedback gain matrix is also given. The approach assigns the full number of generalised eigenvalues, guarantees the closed-loop regularity and overcomes the defects of some previous works.
منابع مشابه
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...
متن کاملEigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays
Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...
متن کاملRobust Eigenvalue Assignment in Descriptor Systems via Output Feedback
Based on a recently proposed parametric approach for eigenstructure assignment in descriptor linear systems via output feedback, the robust eigenvalue assignment problem in descriptor linear systems via output feedback is solved. The problem aims to assign a set of finite closed-loop eigenvalues which have minimum sensitivities with respect to perturbations in the closed-loop coefficient matric...
متن کاملPole 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 ...
متن کاملEigenvalue assignment via state observer for descriptor systems
The problem of eigenvalue placement via state observer for generalized linear time invariant systems is considered. The main contribute is to whow that even if the well-known Luenberger eigenvalue separation theorem may be easily extended to the generalized case, the solvability of the resulting compensator is not in general assured. It is shown that regularity may be reached by a suitable choi...
متن کامل