Optimization of Stochastic Systems: Topics in Discrete-Time Systems

1967 ◽  
Keyword(s):  
Discrete Time ◽  
Stochastic Systems ◽  
Discrete Time Systems ◽  
Time Systems

On Self-Tuning Control of Nonminimum Phase Discrete-Time Systems Using Approximate Inverse Systems

1993 ◽  
Vol 115 (1) ◽  
pp. 12-18 ◽  
Author(s):  
Takashi Yahagi ◽  
Jianming Lu
Keyword(s):  
Discrete Time ◽  
Stochastic Systems ◽  
Output Data ◽  
Approximate Inverse ◽  
Nonminimum Phase ◽  
Discrete Time Systems ◽  
Inverse Systems ◽  
Self Tuning ◽  
The Stability ◽  
Time Systems

This paper presents a new method for self-tuning control of nonminimum phase discrete-time stochastic systems using approximate inverse systems obtained from the least-squares approximation. We show how unstable pole-zero cancellations can be avoided, and that this method has the advantage of being able to determine an approximate inverse system independently of the plant zeros. The proposed scheme uses only the available input and output data and the stability using approximate inverse systems is analyzed. Finally, the results of computer simulation are presented to show the effectiveness of the proposed method.

scholarly journals Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer’s Theorem

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Begoña Cantó ◽  
Rafael Cantó ◽  
Snezhana Kostova
Keyword(s):  
Discrete Time ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Closed Loop System ◽  
Single Input Single Output ◽  
Single Output ◽  
Discrete Time Systems ◽  
Single Input ◽  
Linear State ◽  
Time Systems

The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered. A method based on a Brauer’s theorem is proposed for solving the problem. It allows us to modify some eigenvalues of the system without changing the rest of them. The problem is studied for the single-input single-output (SISO) and for multi-input multioutput (MIMO) cases and sufficient conditions for stability and positivity of the closed-loop system are proved. The results are illustrated by numerical examples and the proposed method is used in stochastic systems.

Global Constrained Holdability of Discrete Time Systems

1986 ◽  
Author(s):  
Robert P. Van Til ◽  
William E. Schmitendorf
Keyword(s):  
Discrete Time ◽  
Discrete Time Systems ◽  
Time Systems
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