Prototype Angle Domain Repetitive Control: Design and Robustness

2015 ◽  
Author(s):  
Perry Y. Li
Keyword(s):  
Design Methodology ◽  
Repetitive Control ◽  
Control Design ◽  
Periodic Case ◽  
Periodic Disturbances ◽  
Compensator Design ◽  
The Stability ◽  
Control Methodology ◽  
Time Periodic ◽  
Model Approach

Angle-domain repetitive disturbances refer to disturbances that are periodic in a generic angle variable which is monotonically increasing with time but not uniformly. This paper extends the classical prototype repetitive control methodology for time periodic disturbances to this situation. Instead of using an internal model approach to derive the control, an affine parameterization approach is adopted which reduces the control design methodology to one of estimating and canceling the disturbance. While the resulting control architectures are similar to the classical time-domain periodic case, the stability conditions are different and depend on the choice of signal norms. Compensator design for non-minimum phase plants also need to be modified. Robustness is also considered in the L2 setting and an affine Q-filter concept is introduced to achieve robust stability.

Prototype Angle-Domain Repetitive Control-Affine Parameterization Approach

2015 ◽  
Vol 137 (12) ◽  
Author(s):  
Perry Y. Li
Keyword(s):  
Robust Stability ◽  
Repetitive Control ◽  
Periodic Case ◽  
Nonminimum Phase ◽  
Periodic Disturbances ◽  
Compensator Design ◽  
The Stability ◽  
Control Methodology ◽  
Time Periodic ◽  
Model Approach

Angle-domain repetitive disturbances refer to disturbances that are periodic in a generic angle variable which is monotonically increasing with time but not uniformly. This paper extends the classical prototype repetitive control methodology for time periodic disturbances to this situation. Instead of using an internal model approach to derive the control, an affine parameterization approach is adopted which reduces the control design methodology to one of estimating and canceling the disturbance. While the resulting control architectures are similar to the classical time-domain periodic case, the stability conditions are different and depend on the choice of signal norm. This necessitates an alternate compensator design approach for the nonminimum phase terms. Robust stability is also considered in the L2 setting and an affine Q-filter concept is introduced to achieve robust stability.

Repetitive Control for Rejection of Periodic Multiplicative Disturbances and Adaptive Identification of the Unknown Period

2004 ◽  
Author(s):  
Sandipan Mishra ◽  
Manabu Yamada ◽  
Masayoshi Tomizuka
Keyword(s):  
Control Algorithm ◽  
Closed Loop ◽  
Design Method ◽  
Repetitive Control ◽  
Adaptive Controller ◽  
Least Mean Square ◽  
Closed Loop System ◽  
Internal Model Principle ◽  
Periodic Disturbances ◽  
The Stability

Repetitive control has been used extensively for rejection of periodic disturbances, in systems that have to follow periodic trajectories. To date, most repetitive controllers have focused on rejection of additive periodic disturbances. This paper suggests the use of a repetitive control algorithm for rejection of periodic multiplicative disturbances. The first result is a simple design method of a new controller to reject the multiplicative disturbance effectively, provided that the period of the disturbance is known. This controller is based on the internal model principle and the design method consists of a simple norm condition. It is shown that this repetitive-type controller can reject the disturbance. The second result is an extension of the first one to the case that the period of the disturbance is unknown. A period estimator is added to the control system to identify the period of the multiplicative disturbance. The algorithm, consisting of an adaptive recursive least mean square method, is simple. It is shown that this adaptive controller can reject the disturbance with an uncertain period and guarantee the stability of the adaptive closed-loop system including the period estimator.

A Design Method for Robust Stabilizing Modified Repetitive Controllers for Time-Delay Plants

2010 ◽  
Vol 36 ◽  
pp. 233-242 ◽  
Author(s):  
Yoshinori Ando ◽  
Kou Yamada ◽  
Nobuaki Nakazawa ◽  
Takaaki Hagiwara ◽  
Iwanori Murakami ◽  
...  
Keyword(s):  
Control System ◽  
Time Delay ◽  
Stability Problem ◽  
Design Method ◽  
Repetitive Control ◽  
Control Design ◽  
Uniform Manner ◽  
The Stability ◽  
Reference Input ◽  
Repetitive Controller

In this paper, we examine the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants. The modified repetitive control system is a type of servomechanism designed for a periodic reference input. When modified repetitive control design methods are applied to real systems, the influence of uncertainties in the plant must be considered. The stability problem with uncertainty is known as the robust stability problem. Recently, the parameterization of all stabilizing modified repetitive controllers was obtained. Since the parameterization of all stabilizing modified repetitive controllers was obtained, we can express previous study of robust stabilizing modified repetitive controller in a uniform manner and can design a stabilizing modified repetitive controller systematically. However, the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants has not been obtained. In this paper, we clarify the parameterization of all robust stabilizing modified repetitive controllers for time-delay plants.

scholarly journals A multi-channel $$\varvec{H}_\infty $$ preview control approach to load alleviation design for flexible aircraft

2021 ◽  
Author(s):  
Ahmed Khalil ◽  
Nicolas Fezans
Keyword(s):  
Design Methodology ◽  
Control Design ◽  
Doppler Lidar ◽  
Preview Control ◽  
Reduced Order ◽  
Control Approach ◽  
Structural Fatigue ◽  
Trade Offs ◽  
Gust Load Alleviation ◽  
Near Future

AbstractGust load alleviation functions are mainly designed for two objectives: first, alleviating the structural loads resulting from turbulence or gust encounter, and hence reducing the structural fatigue and/or weight; and second, enhancing the ride qualities, and hence the passengers’ comfort. Whilst load alleviation functions can improve both aspects, the designer will still need to make design trade-offs between these two objectives and also between various types and locations of the structural loads. The possible emergence of affordable and reliable remote wind sensor techniques (e.g., Doppler LIDAR) in the future leads to considering new types of load alleviation functions as these sensors would permit anticipating the near future gusts and other types of turbulence. In this paper, we propose a preview control design methodology for the design of a load alleviation function with such anticipation capabilities, based on recent advancements on discrete-time reduced-order multi-channel $$H_\infty $$ H ∞ techniques. The methodology is illustrated on the DLR Discus-2c flexible sailplane model.

Control-design methodology for drinking-water treatment processes

2010 ◽  
Vol 10 (2) ◽  
pp. 121-127 ◽  
Author(s):  
Kim van Schagen ◽  
Luuk Rietveld ◽  
Alex Veersma ◽  
Robert Babuška
Keyword(s):  
Drinking Water ◽  
Water Treatment ◽  
Design Methodology ◽  
Treatment Plant ◽  
Control Design ◽  
Drinking Water Treatment ◽  
Water Treatment Plant ◽  
Process Characteristics ◽  
Chemical Usage ◽  
Treatment Step

The performance of a drinking-water treatment plant is determined by the control of the plant. To design the appropriate control system, a control-design methodology of five design steps is proposed, which takes the treatment process characteristics into account. For each design step, the necessary actions are defined. Using the methodology for the pellet-softening treatment step, a new control scheme for the pellet-softening treatment step has been designed and implemented in the full-scale plant. The implementation resulted in a chemical usage reduction of 15% and reduction in the maintenance effort for this treatment step. Corrective actions of operators are no longer necessary.

The CRONE Suspension: Modelling and Stability Analysis

2003 ◽  
Author(s):  
Xavier Moreau ◽  
Olivier Altet ◽  
Alain Oustaloup
Keyword(s):  
Stability Analysis ◽  
Transfer Function ◽  
Design Methodology ◽  
Control Design ◽  
Internal Stability ◽  
Function Modelling ◽  
Robust Control Design ◽  
Force Displacement ◽  
Crone Suspension ◽  
Transfer Function Modelling

The CRONE suspension, French acronym of “suspension a` Comportement Robuste d’Ordre Non Entier”, results from a traditional suspension system whose spring and damper are replaced by a mechanical and hydropneumatic system defined by a fractional (so-called non-integer) order force-displacement transfer function. Modelling, frequency-domain robust control design methodology and internal stability analysis are presented in this paper.

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