Open-loop and feedback bounded control in linear systems

1998 ◽  
Author(s):  
S.A. Mikhailov
Keyword(s):  
Linear Systems ◽  
Open Loop ◽  
Bounded Control

Criteria for Recovery of Zero Initial Condition Responses of Unstable Plants Under Input Saturation

2000 ◽  
Author(s):  
Wei Wu ◽  
Suhada Jayasuriya
Keyword(s):  
Initial Conditions ◽  
Input Saturation ◽  
Input Sequence ◽  
Feedback System ◽  
Open Loop ◽  
Feedback Systems ◽  
Bounded Control ◽  
Analysis And Design ◽  
Study Results ◽  
Unstable Plant

Abstract In this paper, we consider the sufficient and/or necessary conditions under which responses of unstable plants with zero initial conditions would be bounded under step inputs. Several possible unstable pole patterns are examined, and corresponding criteria are derived. It is shown that an unstable plant can be stabilized to have bounded responses using an alternate step input sequence. Step inputs simulate the saturated inputs in a feedback system with bounded control, where the closed-loop stability of an unstable plant is really difficult to study. Results from this open-loop study may lend some insight into the analysis and design of such feedback systems under input saturation nonlinearities.

FIRST HARMONIC ANALYSIS OF PLANAR LINEAR SYSTEMS WITH SINGLE SATURATED FEEDBACK

1996 ◽  
Vol 06 (12b) ◽  
pp. 2605-2610 ◽  
Author(s):  
RODOLFO SUÁREZ ◽  
JOSÉ ALVAREZ-RAMIREZ ◽  
BALTAZAR AGUIRRE
Keyword(s):  
Linear Systems ◽  
Periodic Orbits ◽  
Function Method ◽  
Open Loop ◽  
Control Parameters ◽  
Describing Function ◽  
Open Loop System ◽  
Unstable Eigenvalue ◽  
Unstable Equilibrium Point ◽  
Describing Function Method

A first harmonic approach (describing function method) is used here to analyze the dependence of periodic orbits on the control parameters of planar linear systems with single saturated feedback. It is shown that, if the open-loop system has at least one unstable eigenvalue, periodic orbits converge monotonically to an unstable equilibrium point as the control gains go to infinity.

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