scholarly journals Integral constraints and performance limits on complementary sensitivity: Discrete-time systems

1999 ◽  
Vol 32 (2) ◽  
pp. 3490-3495
Author(s):  
Jie Chen
Keyword(s):  
Discrete Time ◽  
Performance Limits ◽  
Integral Constraints ◽  
Discrete Time Systems ◽  
And Performance ◽  
Time Systems

scholarly journals Robust performance results for discrete-time systems

1998 ◽  
Vol 3 (6) ◽  
pp. 517-538 ◽  
Author(s):  
Magdi S. Mahmoud
Keyword(s):  
Discrete Time ◽  
Performance Criterion ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Robust Performance ◽  
Feedback Controllers ◽  
Discrete Time Systems ◽  
And Performance ◽  
Performance Results ◽  
Time Systems

The problems of robust performance and feedback control synthesis for a class of linear discrete-time systems with time-varying parametric uncertainties are addressed in this paper. The uncertainties are bound and have a linear matrix fractional form. Based on the concept of strongly robust H∞-performance criterion, results of robust stability and performance are developed and expressed in easily computable linear matrix inequalities. Synthesis of robust feedback controllers is carried out for several system models of interest.

scholarly journals OPTIMAL TRACKING AND REGULATION ACCURACY OF FEEDBACK CONTROL SYSTEMS

2005 ◽  
Vol 4 (1) ◽  
pp. 41
Author(s):  
T. BAKHTIAR
Keyword(s):  
Feedback Control ◽  
Discrete Time ◽  
Performance Limits ◽  
Optimal Tracking ◽  
Discrete Time Systems ◽  
Feedback Control Systems ◽  
Single Input ◽  
Time Systems ◽  
Analytical Expressions ◽  
Conver Gence

This paper deals with intrinsic performance limits achievable by feedback control. We give analytical expressions of the optimal tracking and regulation problems for linear shift- invariant single-input and multiple-output (SIMO) discrete-time systems. For the former, we modify the existing results by means of the delta operator and show that the continuous-time counter- part results can be properly recovered from this point. For the latter, we derive a discrete-time result first and show the conver- gence property.

A comparison of numerical methods for model reduction of dense discrete-time systems

2021 ◽  
Vol 69 (8) ◽  
pp. 683-694
Author(s):  
Robert Jendersie ◽  
Steffen W. R. Werner
Keyword(s):  
Numerical Methods ◽  
Model Reduction ◽  
Discrete Time ◽  
Digital Signal ◽  
Reduction Techniques ◽  
Use Of Resources ◽  
Discrete Time Systems ◽  
Reduction Methods ◽  
And Performance ◽  
Time Systems

Abstract Discrete-time systems are a common tool in the modeling of processes in many application areas such as digital signal processing and population dynamics. Model reduction is an essential remedy to handle high-fidelity systems in practice. To benefit from the performance gained by using reduced-order models, the computation of these models itself must be done with a reasonable use of resources. In this paper, we consider the case of medium-scale dense discrete-time systems and compare the performance of different numerical methods for the implementation of two basic model reduction techniques. Therefore, we give an overview of the considered model reduction methods and of the techniques used in underlying implementations. The outlined methods are then compared with established implementations in several numerical examples in terms of accuracy and performance.

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