Controllability and Minimum Energy Control Problem of Infinite Dimensional Fractional Discrete-Time Systems with Delays

2009 ◽  
Author(s):  
Jerzy Klamka
Keyword(s):  
Control Problem ◽  
Discrete Time ◽  
Minimum Energy ◽  
Energy Control ◽  
Infinite Dimensional ◽  
Discrete Time Systems ◽  
Minimum Energy Control ◽  
Time Systems

scholarly journals Minimum energy control of descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition

2016 ◽  
Vol 26 (2) ◽  
pp. 177-187 ◽  
Author(s):  
Tadeusz Kaczorek ◽  
Kamil Borawski
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Discrete Time ◽  
Performance Index ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Energy Control ◽  
Minimum Energy Control ◽  
Necessary And Sufficient ◽  
Time Linear

Abstract The minimum energy control problem for the descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition is formulated and solved. Necessary and sufficient conditions for the reachability of descriptor discrete-time linear systems are given. A procedure for computation of optimal input and a minimal value of the performance index is proposed and illustrated by a numerical example.

scholarly journals Minimum energy control of fractional descriptor positive discrete-time linear systems

2014 ◽  
Vol 24 (4) ◽  
pp. 735-743 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Discrete Time ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Energy Control ◽  
Existence Of A Solution ◽  
Minimum Energy Control ◽  
Necessary And Sufficient ◽  
Time Linear

Abstract Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution to the minimum energy control problem are given. A procedure for computation of optimal input sequences and a minimal value of the performance index is proposed and illustrated by a numerical example.

scholarly journals Minimum energy control of positive discrete-time linear systems with bounded inputs

2013 ◽  
Vol 23 (2) ◽  
pp. 205-211 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Discrete Time ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Existence Of Solution ◽  
Energy Control ◽  
Numerical Example ◽  
Minimum Energy Control ◽  
Time Linear

The minimum energy control problem for the positive discrete-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by a numerical example.

scholarly journals An extension of Klamka’s method of minimum energy control to fractional positive discrete-time linear systems with bounded inputs

2014 ◽  
Vol 62 (2) ◽  
pp. 227-231 ◽  
Author(s):  
T. Kaczorek
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Discrete Time ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Existence Of Solution ◽  
Energy Control ◽  
Numerical Example ◽  
Minimum Energy Control ◽  
Time Linear

Abstract The Klamka’s method of minimum energy control problem is extended to fractional positive discrete-time linear systems with bounded inputs. Sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by numerical example.

Minimum energy control of descriptor positive discrete-time linear systems

2014 ◽  
Vol 33 (3) ◽  
pp. 976-988 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Discrete Time ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Energy Control ◽  
Content Type ◽  
Minimum Energy Control ◽  
Necessary And Sufficient ◽  
Time Linear

Purpose – The purpose of this paper is to formulate and solve the minimum energy control problem of descriptor positive discrete-time linear systems. Design/methodology/approach – A procedure for computation of the optimal input sequences and the minimal value of the performance index is proposed. Findings – Necessary and sufficient conditions for the positivity and reachability of descriptor positive discrete-time linear systems and sufficient conditions for the existence of solution to the minimum energy control problem are given. Originality/value – A method for solving of the minimum energy control problem of descriptor positive discrete-time linear systems is proposed.

Sign in / Sign up

Export Citation Format

Share Document