Search results for: Błażej Cichy

Items from 1 to 19 out of 19 results

chapter

A practically tractable iterative learning control scheme for a circular deformable mirror

Błazej Cichy, Krzysztof Gałkowski, Andreas Rauh, Harald Aschemann, more

2017 10th International Workshop on Multidimensional (nD) Systems (nDS) > 1 - 6

2017 10th International Workshop on Multidimensional (nD) Systems (nDS)

This paper continues the development of an iterative learning control law for a class of spatially distributed systems based on the particular case of a circular deformable mirror. This system is described by a fourth-order partial differential equation but in many cases the design and implementation of control laws is based on a discrete model. In this paper, an unconditionally stable finite difference...

chapter

Iterative learning control applied to a deformable mirror

BlazeJ Cichy, Petr Augusta, Krzysztof Galkowski, Eric Rogers

2017 36th Chinese Control Conference (CCC) > 3485 - 3490

2017 36th Chinese Control Conference (CCC)

An unconditionally stable finite difference discretization motivated by the well-known Crank-Nicolson method is used to develop an iterative learning control design for systems whose dynamics are described by a fourth-order partial differential equation. A discrete in time and space model of a deformable rectangular mirror is derived in this setting and forms the basi s for the new design, where a...

article

Parameter‐dependent Lyapunov function‐based robust iterative learning control for discrete systems with actuator faults

Jian Ding, Blazej Cichy, Krzysztof Galkowski, Eric Rogers, more

International Journal of Adaptive Control and Signal Processing > 30 > 12 > 1714 - 1732

This paper considers iterative learning control for a class of uncertain multiple‐input multiple‐output discrete linear systems with polytopic uncertainties and actuator faults. The stability theory for linear repetitive processes is used to develop control law design algorithms that can be computed using linear matrix inequalities. A class of parameter‐dependent Lyapunov functions is used with the...

chapter

An unconditionally stable approximation of a circular flexible plate described by a fourth order partial differential equation

Petr Augusta, Blazej Cichy, Krzysztof Galkowski, Eric Rogers

2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR) > 1039 - 1044

2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR)

An unconditionally stable finite difference scheme for systems whose dynamics are described by a second-order partial differential equation is developed with use of regular hexagonal grid. The scheme is motivated by the well-known Crank-Nicolson discretization which was developed for first-order systems. The stability of the finite-difference scheme is analyzed by von Neumann's method. Using the new...

chapter

Control Laws for Discrete Linear Repetitive Processes with Smoothed Previous Pass Dynamics

Błażej Cichy, Krzysztof Gałkowski, Eric Rogers

Operator Theory: Advances and Applications > Topics in Operator Theory > 175-193

Repetitive processes are a distinct class of two-dimensional (2D) systems (i.e., information propagation in two independent directions occurs) of both systems theoretic and applications interest. In particular, a repetitive process makes a series of sweeps or passes through dynamics defined on a finite duration. At the end of each pass, the process returns to the starting point and the next pass begins...

chapter

Robust Control of Discrete Linear Repetitive Processes with Parameter Varying Uncertainty

Błażej Cichy, Krzysztof Gałkowski, Eric Rogers, Anton Kummert

Lecture Notes in Electrical Engineering > Numerical Linear Algebra in Signals, Systems and Control > 165-183

Repetitive processes propagate information in two independent directions where the duration of one of these is infinite. They pose control problems that cannot be solved by application of results for other classes of 2D systems. This paper develops robust controller design algorithms for discrete linear processes based on the poly-quadratic stability that produce less conservative results than...

article

Iterative Learning Control of an Electrostatic Microbridge Actuator With Polytopic Uncertainty Models

Blazej Cichy, Lukasz Hladowski, Krzysztof Galkowski, Andreas Rauh, more

IEEE Transactions on Control Systems Technology > 2015 > 23 > 5 > 2035 - 2043

In this brief, a robust control design is presented for an electrostatic microbridge actuator. For this system, a spatially distributed electrostatic force serves as control input. Moreover, a spatially distributed measurement of the bridge displacement is assumed to be available. For an accurate tracking of a reference trajectory—repeated periodically during the operation of the microbridge—an iterative...

chapter

An unconditionally stable finite difference scheme systems described by second order partial differential equations

Petr Augusta, Blazej Cichy, Krzysztof Galkowski, Eric Rogers

2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS) > 1 - 6

2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS)

An unconditionally stable finite difference scheme for systems whose dynamics are described by a second-order partial differential equation is developed. The scheme is motivated by the well-known Crank-Nicolson discretization which was developed for first-order systems. The stability of the finite-difference scheme is analysed by von Neumann's method. Using the new scheme, a discrete in time and space...

chapter

Reducing conservativeness in robust iterative learning control (ILC) design using parameter-dependent Lyapunov functions

Blazej Cichy, Krzysztof Galkowski, Eric Rogers

2015 American Control Conference (ACC) > 4898 - 4903

2015 American Control Conference (ACC)

Iterative learning control was developed for systems that repeat the same task over a finite duration with resetting to the starting point once each execution is complete. The distinguishing feature of this form of control is the use of information from previous executions of the task to update the control signal to be applied on the next execution and thereby sequentially improve performance. Once...

article

Robust fault-tolerant iterative learning control for discrete systems via linear repetitive processes theory

Jian Ding, Blazej Cichy, Krzysztof Galkowski, Eric Rogers, more

International Journal of Automation and Computing > 2015 > 12 > 3 > 254-265

This paper addresses the problem of robust iterative learning control design for a class of uncertain multiple-input multiple-output discrete linear systems with actuator faults. The stability theory for linear repetitive processes is used to develop formulas for gain matrices design, together with convergent conditions in terms of linear matrix inequalities. An extension to deal with model uncertainty...

article

2D systems based robust iterative learning control using noncausal finite-time interval data

Błażej Cichy, Krzysztof Gałkowski, Eric Rogers

Systems & Control Letters > 2014 > 64 > Complete > 36-42

This paper uses a 2D system setting in the form of repetitive process stability theory to design an iterative learning control law that is robust against model uncertainty. In iterative learning control the same finite duration operation, known as a trial over the trial length, is performed over and over again with resetting to the starting location once each is complete, or a stoppage at the end...

chapter

Iterative Learning Control of the electrostatic microbridge actuator

Blazej Cichy, Krzysztof Galkowski, Andreas Rauh, Harald Aschemann

2013 European Control Conference (ECC) > 1192 - 1197

2013 European Control Conference (ECC)

In this paper, we consider the control of an electrostatic microbridge actuator with a distributed electrostatic force input and distributed displacement sensing. A bounded desired trajectory is achieved by using an Iterative Learning Control (ILC) method based on discrete linear repetitive processes with the use of Linear Matrix Inequalities (LMI). Space and time discretization is accomplished by...

article

Control law design for discrete linear repetitive processes with non-local updating structures

Błażej Cichy, Krzysztof Gałkowski, Eric Rogers, Anton Kummert

Multidimensional Systems and Signal Processing > 2013 > 24 > 4 > 707-726

Repetitive processes are a class of 2D systems where information propagation in one direction is of finite duration. These processes make a series of sweeps, termed passes, through a set of dynamics and on completion of each pass resetting to the starting position occurs ready for the start of the next pass. The control problem is that the previous pass output, termed the pass profile, acts as a forcing...

chapter

Wave repetitive process approach to a class of ladder circuits

Bartosz Palucki, Krzysztof Galkowski, Anton Kummert, Blazej Cichy

2012 IEEE International Symposium on Circuits and Systems > 950 - 953

2012 IEEE International Symposium on Circuits and Systems - ISCAS 2012

In this paper a 2D systems setting is used to develop new results on modeling and the stability analysis of electrical multi element ladder circuits from the repetitive process standpoint.

chapter

Control of discrete linear repetitive processes using non-local previous pass information

Blazej Cichy, Krzysztof Galkowski, Eric Rogers, Anton Kummert

IEEE Conference on Decision and Control and European Control Conference > 4023 - 4028

2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011)

A repetitive process makes a series of sweeps or passes through dynamics defined on a finite duration termed the pass length. The process output is termed the pass profile and when each pass is completed, resetting to the starting location ready for the start of the next one. On any pass the previous pass profile acts as a forcing function on, and hence contributes to, the dynamics of the next one...

chapter

Smoothing control of discrete linear repetitive processes

Blazej Cichy, Krzysztof Galkowski, Eric Rogers, Anton Kummert

2011 Chinese Control and Decision Conference (CCDC) > 3704 - 3709

2011 23rd Chinese Control and Decision Conference (CCDC)

Repetitive processes are a distinct class of two-dimensional (2D) systems (i.e. information propagation in two independent directions occurs) of both systems theoretic and applications interest. In particular, a repetitive process makes a series of sweeps or passes through dynamics defined on a finite duration. At the end of each pass, the process returns to the starting point and the next pass begins...

article

An approach to iterative learning control for spatio-temporal dynamics using nD discrete linear systems models

Błażej Cichy, Krzysztof Gałkowski, Eric Rogers, Anton Kummert

Multidimensional Systems and Signal Processing > 2011 > 22 > 1-3 > 83-96

Iterative Learning Control (ILC) is now well established in terms of both the underlying theory and experimental application. This approach is specifically targeted at cases where the same operation is repeated over a finite duration with resetting between successive executions. Each execution is known as a trial and the key idea is to use information from previous trials to update the control input...

article

On the control of distributed parameter systems using a multidimensional systems setting

Blazej Cichy, Petr Augusta, Eric Rogers, Krzysztof Galkowski, more

Mechanical Systems and Signal Processing > 2008 > 22 > 7 > 1566-1581

The unique characteristic of a repetitive process is a series of sweeps, termed passes, through a set of dynamics defined over a finite duration with resetting before the start of the each new one. On each pass an output, termed the pass profile is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This leads to the possibility that the output,...

article

On the development of SCILAB compatible software for the analysis and control of repetitive processes

Łukasz Ładowski, Błażej Cichy, Krzysztof Gałkowski, Eric Rogers

International Journal of Applied Mathematics and Computer Science > 2008 > 18 > 3 > 377-387

In this paper further results on the development of a S CILAB compatible software package for the analysis and control of repetitive processes is described. The core of the package consists of a simulation tool which enables the user to inspect the response of a given example to an input, design a control law for stability and/or performance, and also simulate the response of a controlled process...

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Keywords

STABILITY ANALYSIS (8)
ITERATIVE LEARNING CONTROL (7)
MATHEMATICAL MODEL (6)
ACTUATORS (5)
CONTROL LAW DESIGN (4)
MIRRORS (4)
VECTORS (4)
ASYMPTOTIC STABILITY (3)
LINEAR MATRIX INEQUALITIES (3)
NUMERICAL STABILITY (3)
PARTIAL DIFFERENTIAL EQUATIONS (3)
PROCESS CONTROL (3)
APPROXIMATION METHODS (2)
ELECTRONIC MAIL (2)
ELECTROSTATICS (2)
FORCE (2)
LINEAR REPETITIVE PROCESSES (2)
NUMERICAL MODELS (2)
ROBUST CONTROL (2)
ROBUSTNESS (2)
STATE-SPACE METHODS (2)
SYMMETRIC MATRICES (2)
UNCERTAINTY (2)
ND LINEAR SYSTEMS (1)
2D SYSTEMS (1)
ACTIVE CIRCUITS (1)
ACTUATOR FAULTS (1)
AEROSPACE ELECTRONICS (1)
ALGORITHM DESIGN AND ANALYSIS (1)
CIRCUIT STABILITY (1)
COAL (1)
CRANK--NICOLSON DISCRETIZATION METHOD OF PARTIAL DIFFERENTIAL EQUATIONS (PDES) (1)
CRANK-NICOLSON DISCRETIZATION METHOD (1)
DISCRETE LINEAR REPETITIVE PROCESSES (1)
DISCRETE LINEAR SYSTEMS (1)
DISTRIBUTED PARAMETER SYSTEMS (1)
DISTRIBUTED PARAMETER SYSTEMS (DPSS) (1)
DISTRIBUTED SYSTEMS (1)
EQUATIONS (1)
EXPLICIT DISCRETIZATION (1)
FAULT-TOLERANT CONTROL (1)
INTEGRATED CIRCUIT MODELING (1)
ITERATIVE LEARNING CONTROL (ILC) (1)
LINEAR MATRIX INEQUALITIES (LMIS) (1)
LINEAR MATRIX INEQUALITY (LMI) (1)
LINEAR SYSTEMS (1)
LYAPUNOV METHODS (1)
MODELLING (1)
NONCAUSAL DATA (1)
PDES (1)
POLYTOPIC UNCERTAINTY (1)
POWER SYSTEM STABILITY (1)
REPETITIVE PROCESSES (1)
ROBOTS (1)
ROBUST CONTROL. (1)
SCILAB (1)
SIMULATION (1)
THIN PLATES (1)
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Search results for: Błażej Cichy

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