A subsystem design approach to continuous-time input-output performance of decentralized multirate sampled-data systems

1994 ◽  
Author(s):  
H. Ito
Keyword(s):  
Continuous Time ◽  
Design Approach ◽  
Data Systems ◽  
Sampled Data ◽  
Input Output ◽  
Output Performance ◽  
Subsystem Design

Stability Criteria for Distributed Nonlinear Sampled-Data Systems Defined by Green’s Functions

1974 ◽  
Vol 96 (3) ◽  
pp. 315-321 ◽  
Author(s):  
G. Jumarie
Keyword(s):  
Stability Criterion ◽  
Feedback Gain ◽  
Continuous Systems ◽  
Mean Square ◽  
Data Systems ◽  
Sampled Data ◽  
Input Output ◽  
Output Stability ◽  
Lumped Parameter ◽  
The Mean

Sampled-data, nonlinear, distributed systems, which exhibit a structure similar to that of the standard closed loop with lumped parameter, are investigated from the viewpoint of their input-output stability. These systems are governed by operational equations involving discrete Laplace-Green kernels. Their feedback gains are bounded by upper and lower values which depend explicitly on the time and the distributed parameter. The main result is: an input-output stability theorem is given which applies both in L∞ (O, ∞) and L2 (O, ∞). This criterion, which may be considered as being an extension of the ≪circle criterion≫, involves the mean square value on the bounds of the feedback gain. Stability conditions for continuous systems are derived from this result. In the special case of systems with distributed periodical time-varying feedback gains, a stability criterion is given which applies in Marcinkiewicz space M2 (O, ∞). This result which involves the mean square value of the feedback gain is generally less restrictive than the L2 (O, ∞) stability criterion mentioned above.

Continuous-time deadbeat control for sampled-data systems

1996 ◽  
Vol 41 (10) ◽  
pp. 1478-1481 ◽  
Author(s):  
H. Katoh ◽  
Y. Funahashi
Keyword(s):  
Continuous Time ◽  
Data Systems ◽  
Sampled Data ◽  
Deadbeat Control

Asymptotic Properties of Zeros of Sampled-Data Systems for Continuous-Time Plants With Nondecouplability

2013 ◽  
Author(s):  
Mitsuaki Ishitobi ◽  
Sadaaki Kunimatsu
Keyword(s):  
Fractional Order ◽  
Continuous Time ◽  
Asymptotic Properties ◽  
Sampling Period ◽  
Approximate Expression ◽  
Zero Order ◽  
Data Systems ◽  
Sampled Data ◽  
Static State ◽  
Power Series Expansions

When a continuous-time linear system is discretized using a hold, stability of poles are preserved. However, the transformations of zeros are much more complicated and the number of the zeros increases in some cases in the discretization process. This paper is concerned with the zeros of a sampled-data model resulting from a continuous-time multivariable system which is not decouplable by static state feedback and has all of the relative degrees one. Two cases of a zero-order hold and a fractional-order hold are treated. An approximate expression of the zeros is given as power series expansions with respect to a sampling period in the zero-order hold case. Further, the limiting zeros are analyzed in the fractional-order hold case. Then, the advantage of the fractional-order hold to the zero-order hold is discussed from the viewpoint of stability of the zeros.

Stability analysis for complicated sampled-data systems via descriptor remodelling

2018 ◽  
Vol 36 (4) ◽  
pp. 1347-1373 ◽  
Author(s):  
Jun Zhou ◽  
Ketian Gao ◽  
Xinbiao Lu
Keyword(s):  
Stability Analysis ◽  
Frequency Domain ◽  
Continuous Time ◽  
Transfer Functions ◽  
Open Loop ◽  
Spectral Features ◽  
Data Systems ◽  
Sampled Data ◽  
Digital Controllers ◽  
Lifting Technique

AbstractA new stability analysis technique is developed in this paper for complicated sampled-data systems with both analogue and digital controllers, by frequency-domain equivalence in the continuous-time sense and time-delayed descriptor (or singular) state-space realization remodelling. The technique is independent of the lifting technique and thus employs neither structural nor spectral features of any discrete-time transfer functions of continuous-time plants. The suggested criteria are stated with frequency-domain conditions, involving neither open-loop unstable poles nor contour/locus-orientation-related encirclements counting. The criteria are implementable graphically with locus plotting or numerically tractable without locus plotting. The descriptor remodelling advantages are further exploited in surmounting infinite dimensionality and structural/spectral features unavailability in multi-rate and time-delayed sampled-data systems. Numerical examples are included to illustrate the main results.

Sign in / Sign up

Export Citation Format

Share Document