scholarly journals Controllability Properties and Invariance Pressure for Linear Discrete-Time Systems

2021 ◽  
Author(s):  
Fritz Colonius ◽  
João A. N. Cossich ◽  
Alexandre J. Santana
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Linear Control ◽  
Linear Control Systems ◽  
Hyperbolic Case ◽  
Discrete Time Systems ◽  
Control Set ◽  
Time Systems ◽  
Invariance Pressure

AbstractFor linear control systems in discrete time controllability properties are characterized. In particular, a unique control set with nonvoid interior exists and it is bounded in the hyperbolic case. Then a formula for the invariance pressure of this control set is proved.

Stability Analysis of Finite-Level Quantized Discrete-Time Linear Control Systems

2010 ◽  
Vol 16 (3) ◽  
pp. 258-271 ◽  
Author(s):  
Carlos E. de Souza ◽  
Daniel F. Coutinho ◽  
Minyue Fu
Keyword(s):  
Stability Analysis ◽  
Control Systems ◽  
Discrete Time ◽  
Linear Control ◽  
Linear Control Systems ◽  
Time Linear

scholarly journals On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
El-Sayed M. E. Mostafa ◽  
Abdallah W. Aboutahoun ◽  
Fatma F. S. Omar
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Minimization Problem ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Assignment Problem ◽  
Local Solution ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Eigenvalue Assignment

The output feedback eigenvalue assignment problem for discrete-time systems is considered. The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local solution. In addition, a cut to the objective function is included, yielding an inequality constrained minimization problem, where a logarithmic barrier method is proposed for finding the local solution. The conjugate gradient method is further extended to tackle the eigenvalue assignment problem for the two cases of decentralized control systems and control systems with time delay. The performance of the methods is illustrated through various test examples.

scholarly journals Finite-Horizon Optimal Control of Discrete-Time Switched Linear Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Qixin Zhu ◽  
Guangming Xie
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Discrete Time ◽  
Finite Horizon ◽  
Linear Control ◽  
Linear Control Systems ◽  
Control Input ◽  
Optimal Switching ◽  
Control Laws ◽  
Control Factors

Finite-horizon optimal control problems for discrete-time switched linear control systems are investigated in this paper. Two kinds of quadratic cost functions are considered. The weight matrices are different. One is subsystem dependent; the other is time dependent. For a switched linear control system, not only the control input but also the switching signals are control factors and are needed to be designed in order to minimize cost function. As a result, optimal design for switched linear control systems is more complicated than that of non-switched ones. By using the principle of dynamic programming, the optimal control laws including both the optimal switching signal and the optimal control inputs are obtained for the two problems. Two examples are given to verify the theory results in this paper.

Sign in / Sign up

Export Citation Format

Share Document