Controllability and Observability of Input /Output Delayed Discrete Systems

Author(s):  
C. Ionete ◽  
A. Cela ◽  
M.B. Gaid
2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Mouhcine Naim ◽  
Fouad Lahmidi ◽  
Abdelwahed Namir

This article studies the controllability and observability of nonlinear positive discrete systems. These properties play a fundamental role in system analysis before controller and observer design is engaged. We solve these problems by a technique based on the fixed point theory.


Author(s):  
Paulo Tabuada ◽  
Ayca Balkan ◽  
Sina Y. Caliskan ◽  
Yasser Shoukry ◽  
Rupak Majumdar

2018 ◽  
Vol 12 (1) ◽  
pp. 44-48
Author(s):  
Tadeusz Kaczorek

AbstractThe notions of invariant, decoupling and blocking zeros are extended to the fractional linear systems. It is shown that: 1) The zeros are closely connected with the controllability and observability of the linear systems and their transfer functions matrices. 2) The state vector of the fractional system for any input and zero initial conditions is independent of the input decoupling zeros of the system. 3) The output of the fractional system for any input and zero initial conditions is independent of the input-output decoupling zeros of the system.


1996 ◽  
Vol 122 (3) ◽  
pp. 507-513 ◽  
Author(s):  
Douglas G. Walker ◽  
Jeffrey L. Stein ◽  
A. Galip Ulsoy

Model order deduction algorithms have been developed in an effort to automate the production of accurate, minimal complexity models of dynamic systems in order to aid in the design of these systems. Previous algorithms, MODA and Extended MODA, deduce models independent of system inputs and outputs. FD-MODA uses frequency response methods to deduce models of a single input-output pair. In this paper, an input-output criterion based on controllability and observability is combined with the frequency based criterion used by MODA. The new model deduction algorithm, IO-MODA, compares the ratio of the adjacent diagonal values of the system gramian to a user specified threshold. The gramian is computed from a balanced realization of the system. IO-MODA generates an accurate multiple-input multiple-output model of minimum order with physically meaningful states. This model is called a proper MIMO model. An example problem is used to demonstrate this new model deduction algorithm. [S0022-0434(00)02103-1]


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