scholarly journals Discrete-Time Pole-Region Robust Controller for Magnetic Levitation Plant

Symmetry ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 142
Author(s):  
Mária Hypiusová ◽  
Danica Rosinová
Keyword(s):  
Discrete Time ◽  
Time Domain ◽  
Closed Loop ◽  
Magnetic Levitation ◽  
Control Design ◽  
Absolute Error ◽  
Pole Placement ◽  
Design Parameters ◽  
Robust Controller ◽  
Efficient Control

Robust pole-placement based on convex DR-regions belongs to the efficient control design techniques for real systems, providing computationally tractable pole-placement design algorithms. The problem arises in the discrete-time domain when the relative damping is prescribed since the corresponding discrete-time domain is non-convex, having a “cardioid” shape. In this paper, we further develop our recent results on the inner convex approximations of the cardioid, present systematical analysis of its design parameters and their influence on the corresponding closed loop performance (measured by standard integral of absolute error (IAE) and Total Variance criteria). The application of a robust controller designed with the proposed convex approximation of the discrete-time pole region is illustrated and evaluated on a real laboratory magnetic levitation plant.

Simultaneous Structural and Control Design Using Constraint Functions

1988 ◽  
Vol 110 (1) ◽  
pp. 65-72 ◽  
Author(s):  
J. M. Starkey ◽  
P. M. Kelecy
Keyword(s):  
Control System ◽  
System Dynamics ◽  
Structural Design ◽  
Closed Loop ◽  
Control Design ◽  
Pole Placement ◽  
Design Parameters ◽  
Weighted Sum ◽  
Design Technique ◽  
And Control

A design technique is presented which modifies system dynamics by simultaneously considering control system gains and structural design parameters. Constraint functions are devised that become smaller as (1) structural design parameters and feedback gains become smaller, and (2) closed-loop eigenvalues migrate toward more desirable regions. By minimizing a weighted sum of these functions, the interaction between design performance and design parameters can be explored. Examples are given that show the effects of the weighting parameters, and the potential advantages of this technique over traditional pole placement techniques.

scholarly journals Comparison of Nonlinear and Linear Controllers for Magnetic Levitation System

2021 ◽  
Vol 11 (17) ◽  
pp. 7795
Author(s):  
Danica Rosinová ◽  
Mária Hypiusová
Keyword(s):  
Nonlinear Control ◽  
Discrete Time ◽  
Feedback Linearization ◽  
Magnetic Levitation ◽  
Control Design ◽  
Pole Placement ◽  
System Control ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
Pole Placement Controller

Nonlinear system control belongs to advanced control problems important for real plants control design. Various techniques have been developed in this field. In this paper we compare two different approaches to a nonlinear unstable Magnetic levitation system control. The first control design approach further develops our recent results on robust discrete-time pole-placement, based on convex DR-regions. The second studied approach is based on feedback linearization and the simplified development of the corresponding nonlinear control law is provided. Both approaches are compared and evaluated. The efficiency of robust discrete-time pole-placement controller is shown as well as its competitiveness in comparison with nonlinear control for Magnetic levitation system.

scholarly journals Model-Based Control Design of Series Resonant Converter Based on the Discrete Time Domain Modelling Approach for DC Wind Turbine

2018 ◽  
Vol 2018 ◽  
pp. 1-18 ◽  
Author(s):  
Yu-Hsing Chen ◽  
Catalin Gabriel Dincan ◽  
Philip Kjær ◽  
Claus Leth Bak ◽  
Xiongfei Wang ◽  
...  
Keyword(s):  
Discrete Time ◽  
Time Domain ◽  
Closed Loop ◽  
Control Structure ◽  
Control Design ◽  
Closed Loop Control ◽  
Resonant Converter ◽  
Loop Control ◽  
Series Resonant ◽  
Domain Modelling

This paper focuses on the modelling of the series resonant converter proposed as a DC/DC converter for DC wind turbines. The closed-loop control design based on the discrete time domain modelling technique for the converter (named SRC#) operated in continuous-conduction mode (CCM) is investigated. To facilitate dynamic analysis and design of control structure, the design process includes derivation of linearized state-space equations, design of closed-loop control structure, and design of gain scheduling controller. The analytical results of system are verified in z-domain by comparison of circuit simulator response (in PLECS™) to changes in pulse frequency and disturbances in input and output voltages and show a good agreement. Furthermore, the test results also give enough supporting arguments to proposed control design.

scholarly journals LMI Pole Regions for a Robust Discrete-Time Pole Placement Controller Design

Algorithms ◽  
2019 ◽  
Vol 12 (8) ◽  
pp. 167
Author(s):  
Danica Rosinová ◽  
Mária Hypiusová
Keyword(s):  
Discrete Time ◽  
Closed Loop ◽  
Controller Design ◽  
Loop System ◽  
Pole Placement ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Robust Controller ◽  
Pole Placement Controller ◽  
Robust Controller Design

Herein, robust pole placement controller design for linear uncertain discrete time dynamic systems is addressed. The adopted approach uses the so called “D regions” where the closed loop system poles are determined to lie. The discrete time pole regions corresponding to the prescribed damping of the resulting closed loop system are studied. The key issue is to determine the appropriate convex approximation to the originally non-convex discrete-time system pole region, so that numerically efficient robust controller design algorithms based on Linear Matrix Inequalities (LMI) can be used. Several alternatives for relatively simple inner approximations and their corresponding LMI descriptions are presented. The developed LMI region for the prescribed damping can be arbitrarily combined with other LMI pole limitations (e.g., stability degree). Simple algorithms to calculate the matrices for LMI representation of the proposed convex pole regions are provided in a concise way. The results and their use in a robust controller design are illustrated on a case study of a laboratory magnetic levitation system.

Multiobjective Time Domain Input Shaping for Closed-Loop Discrete-Time Systems

2010 ◽  
Vol 43 (18) ◽  
pp. 200-205
Author(s):  
Uwe Boettcher ◽  
Raymond A. de Callafon ◽  
Frank E. Talke
Keyword(s):  
Discrete Time ◽  
Time Domain ◽  
Closed Loop ◽  
Input Shaping ◽  
Discrete Time Systems ◽  
Time Systems

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.

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