scholarly journals On the Stability Bounds of Kalman Filters for Linear Deterministic Discrete-Time Systems

2020 ◽  
Vol 65 (10) ◽  
pp. 4434-4439
Author(s):  
Mark Haring ◽  
Tor Arne Johansen
Keyword(s):  
Discrete Time ◽  
Kalman Filters ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems

Stability and robustness for discrete-time systems with control signal saturation

2000 ◽  
Vol 214 (1) ◽  
pp. 65-76 ◽  
Author(s):  
A R Plummer ◽  
C S Ling
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Control Signal ◽  
Design Stage ◽  
System Control ◽  
Stability Robustness ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems ◽  
Signal Saturation

All practical control systems exhibit control signal saturation. The effect that this saturation has on the control system performance, especially stability and robustness, can be significant and must be understood at the controller design stage. This paper presents conditions for global asymptotic stability and measures of stability robustness for such systems. These are demonstrated through simulation examples, and it is shown how an understanding of the stability conditions can inform the controller design process. The off-axis circle criterion is used as the basis for a sufficient condition for stability, and it is argued that this is not overly restrictive in practice. The derivations are carried out in discrete time, and servo-system control is envisaged as an important application area for the techniques; however, the results are applicable more widely.

A delay-partitioning approach to the stability analysis of discrete-time systems

Automatica ◽  
2010 ◽  
Vol 46 (3) ◽  
pp. 610-614 ◽  
Author(s):  
Xiangyu Meng ◽  
James Lam ◽  
Baozhu Du ◽  
Huijun Gao
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems ◽  
Delay Partitioning

Switching Control Design for Switched Fuzzy Discrete-Time Systems

2014 ◽  
Vol 1006-1007 ◽  
pp. 711-714
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Control Method ◽  
Control Design ◽  
Switching Control ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems

This paper investigates the problems of stability analysis and stabilization for a class of switched fuzzy discrete-time systems. Based on a common Lyapunov functional, a switching control method has been developed for the stability analysis of switched discrete-time fuzzy systems. A new stabilization approach based on a switching parallel distributed compensation scheme is given for the closed-loop switched fuzzy systems. Finally, the illustrative example is provided to demonstrate the effectiveness of the techniques proposed in this paper.

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.

On stability for discrete-time non-linear singular systems with switching actuators via average dwell time approach

2016 ◽  
Vol 39 (12) ◽  
pp. 1771-1776 ◽  
Author(s):  
Yunlong Liu ◽  
Juan Wang ◽  
Cunchen Gao ◽  
Zairui Gao ◽  
Xiaojin Wu
Keyword(s):  
Discrete Time ◽  
Dwell Time ◽  
Closed Loop ◽  
Singular Systems ◽  
Average Dwell Time ◽  
Discrete Time Systems ◽  
Non Linear ◽  
The Stability ◽  
Relationship Of ◽  
Time Systems

This paper aims to study stability for discrete-time non-linear singular systems with switching actuators. A sufficient condition is addressed to ensure that non-linear closed-loop singular systems are input-to-state stable via average dwell time approach and the iterative relationship of discrete-time systems. In the stability criterion, we neither construct a certain Lyapunov function, nor design the specific structure of the control inputs. It is much easier to design each sub-controller of switching actuators via the proposed condition. Finally, a numerical example is provided to demonstrate the feasibility and effectiveness of the results obtained.

scholarly journals Entwurf von zeitkontinuierlichen ΣΔ-Modulatoren – Äquivalenz zwischen zeitkontinuierlichen und zeitdiskreten Systemen

2007 ◽  
Vol 5 ◽  
pp. 221-224
Author(s):  
J. Anders ◽  
W. Mathis ◽  
M. Ortmanns
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Input Signal ◽  
Continuous Time ◽  
Wird Eine ◽  
Loop Delay ◽  
Discrete Time Systems ◽  
Excess Loop Delay ◽  
The Stability ◽  
Time Systems

Abstract. Im vorliegenden Artikel wird eine vollstängige, d.h. unter Einbeziehung des Eingangssignals, Äquivalenz zwischen zeitkontinuierlichen und zeitdiskreten ΣΔ-Modulatoren im Zustandsraum hergeleitet. Es wird ebenfalls gezeigt, wie eine wichtige Nichtidealität, das sog. "excess loop delay", in den Berechnungen berücksichtigt werden kann. Die dargestellte Methode dient dazu, den Entwurf und dabei vor allem die Stabilitätsuntersuchungen, von zeitkontinuierlichen ΣΔs auf die bereits empirisch intensiv erforschten zeitdiskreten Systeme zurückzuführen. In the article at hand a complete equivalency, i.e. including the input signal, between continuous-time and discrete-time ΣΔ-modulators in state-space is derived. In addition, it is shown, how one can incorporate the important non-ideality of "excess loop delay" into the formalism. The method introduced is supposed to facilitate the design, especially the stability analysis part of the design, of continuous-time ΣΔs by making use of the empirically thoroughly examined discrete-time systems.

Sign in / Sign up

Export Citation Format

Share Document