Minimum Energy Control of Fractional Positive Continuous-Time Linear Systems with Two Different Fractional Orders and Bounded Inputs

2015 ◽  
pp. 171-181 ◽  
Author(s):  
Łukasz Sajewski
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Minimum Energy ◽  
Energy Control ◽  
Minimum Energy Control ◽  
Fractional Orders ◽  
Time Linear

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

2014 ◽  
Vol 24 (2) ◽  
pp. 335-340 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Continuous Time ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Energy Control ◽  
Existence Of A Solution ◽  
Numerical Example ◽  
Minimum Energy Control ◽  
Time Linear

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

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

2013 ◽  
Vol 23 (4) ◽  
pp. 725-730 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Continuous Time ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Energy Control ◽  
Existence Of A Solution ◽  
Numerical Example ◽  
Minimum Energy Control ◽  
Time Linear

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

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

2014 ◽  
Vol 63 (1) ◽  
pp. 19-27 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Continuous Time ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Existence Of Solution ◽  
Energy Control ◽  
Numerical Example ◽  
Minimum Energy Control ◽  
Time Linear

Abstract The minimum energy control problem for the positive continuous-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 Minimum energy control of fractional positive continuous-time linear systems

2013 ◽  
Vol 61 (4) ◽  
pp. 803-807 ◽  
Author(s):  
T. Kaczorek
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Continuous Time ◽  
Minimum Energy ◽  
Sufficient Conditions ◽  
Existence Of Solution ◽  
Energy Control ◽  
Numerical Example ◽  
Minimum Energy Control ◽  
Time Linear

Abstract The minimum energy control problem for the fractional positive continuous-time linear systems 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 Minimum energy control of fractional positive continuous-time linear systems using Caputo-Fabrizio definition

2017 ◽  
Vol 65 (1) ◽  
pp. 45-51 ◽  
Author(s):  
T. Kaczorek
Keyword(s):  
Fractional Derivative ◽  
Linear Systems ◽  
Continuous Time ◽  
Minimum Energy ◽  
Energy Control ◽  
Continuous Time Systems ◽  
Minimum Energy Control ◽  
Definition Of ◽  
Time Systems ◽  
Time Linear

Abstract The Caputo-Fabrizio definition of the fractional derivative is applied to minimum energy control of fractional positive continuous- time linear systems with bounded inputs. Conditions for the reachability of standard and positive fractional linear continuous-time systems are established. The minimum energy control problem for the fractional positive linear systems with bounded inputs is formulated and solved.

scholarly journals Minimum Energy Control of Descriptor Fractional Discrete–Time Linear Systems with Two Different Fractional Orders

2017 ◽  
Vol 27 (1) ◽  
pp. 33-41 ◽  
Author(s):  
Łukasz Sajewski
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Minimum Energy ◽  
Decomposition Theorem ◽  
State Equation ◽  
Energy Control ◽  
Minimum Energy Control ◽  
Reachability Condition ◽  
Fractional Orders ◽  
Time Linear

Abstract Reachability and minimum energy control of descriptor fractional discrete-time linear systems with different fractional orders are addressed. Using the Weierstrass–Kronecker decomposition theorem of the regular pencil, a solution to the state equation of descriptor fractional discrete-time linear systems with different fractional orders is given. The reachability condition of this class of systems is presented and used for solving the minimum energy control problem. The discussion is illustrated with numerical examples.

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