Interval observers for continuous-time linear systems with discrete-time outputs

2012 ◽  
Author(s):  
F. Mazenc ◽  
M. Kieffer ◽  
E. Walter
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Interval Observers ◽  
Time Linear

Disturbance Decoupling by Feedforward and Preview Control

1983 ◽  
Vol 105 (1) ◽  
pp. 11-17 ◽  
Author(s):  
H. Imai ◽  
M. Shinozuka ◽  
T. Yamaki ◽  
D. Li ◽  
M. Kuwana
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Simulation Study ◽  
Continuous Time ◽  
Floating Structure ◽  
Preview Control ◽  
Disturbance Decoupling ◽  
Time Linear

The problem of disturbance decoupling is formulated and solved for continuous-time linear systems in which feedforward of disturbance input and its derivatives is allowed. The problem of disturbance decoupling by preview control is also formulated for discrete-time linear systems and it is shown that these two problems are algebraically equivalent. The result is applied to the design of a disturbance absorber for an open bottom floating structure and a simulation study is carried out to demonstrate the effectiveness of the result.

scholarly journals SINGULAR FRACTIONAL CONTINUOUS-TIME AND DISCRETE-TIME LINEAR SYSTEMS

2013 ◽  
Vol 7 (1) ◽  
pp. 26-33 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
State Equation ◽  
Electrical Circuit ◽  
The State ◽  
Continuous Time Systems ◽  
Definition Of ◽  
Time Systems ◽  
Time Linear

Abstract New classes of singular fractional continuous-time and discrete-time linear systems are introduced. Electrical circuits are example of singular fractional continuous-time systems. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and Laplace transformation the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional systems if it contains at least one mesh consisting of branches with only ideal supercondensators and voltage sources or at least one node with branches with supercoils. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional discrete-time linear systems is derived. The considerations are illustrated by numerical examples.

scholarly journals Descriptor fractional linear systems with regular pencils

2013 ◽  
Vol 23 (2) ◽  
pp. 309-315 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Laplace Transform ◽  
Linear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
The State ◽  
Transition Matrices ◽  
State Equations ◽  
Numerical Examples ◽  
The Laplace Transform ◽  
Time Linear

Methods for finding solutions of the state equations of descriptor fractional discrete-time and continuous-time linear systems with regular pencils are proposed. The derivation of the solution formulas is based on the application of the Z transform, the Laplace transform and the convolution theorems. Procedures for computation of the transition matrices are proposed. The efficiency of the proposed methods is demonstrated on simple numerical examples.

scholarly journals Comparison of approximation methods of positive stable continuous-time linear systems by positive stable discrete-time systems

2013 ◽  
Vol 62 (2) ◽  
pp. 345-355 ◽  
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Electrical Circuit ◽  
Approximation Methods ◽  
Asymptotically Stable ◽  
Numerical Examples ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Time Linear

Abstract The positive asymptotically stable continuous-time linear systems are approximated by corresponding asymptotically stable discrete-time linear systems. Two methods of the approximation are presented and the comparison of the methods is addressed. The considerations are illustrated by three numerical examples and an example of positive electrical circuit.

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