Periodic Systems and Disturbances

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1: Proceedings of CDC2000
Discrete Event Systems
Control in Communication Systems
Optimal Control and Applications I
Optimisation Approaches and Methods
Model Predictive Control
Advances in Linear Estimation
Stochastic and Uncertain Systems
Nonlinear Control and Applications
Nonlinear Estimation and Filtering
Formation Control and its Applications
New Approaches to Fuzzy Control
Manufacturing Systems
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Stability Issues in Hybrid Control
Recent Advances in Stochastic Networks
Optimal Control and Applications II
Robust Controller Design - mu, L1 and H2
Constrained and Receding Horizon Control
Identification and Control around the World
Markov Decision Processes
Nonlinear Optimisation
Observers for Nonlinear Systems
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Control of Quantum Phenomena I
Hybrid Systems Methods
Control in Communication Networks
Robustness and Optimisation
Bumpless Transfer, Antiwindup and Saturation
Adaptive Control: Linear Systems
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Control of Markov Processes
Nonlinear Filtering and Control
Modelling, Identification and Validation of Nonlinear Systems
Differential Geometric Control Theory for Mechanical Systems
Nonlinear Output Feedback Control
Pneumatics and Compression Systems
Control of Quantum Phenomena II
Stability of Hybrid Systems
Performance Analysis in Communication Networks
Adaptive Control of Nonlinear Systems
LMI Methods in Design
Robust Control of Time Delay Systems
Subspace Identification Methods
Nonlinear Stochastic Filtering and Estimation
Bifurcations, Chaos and Control I
New Progress in Synthesis of Nonlinear Systems I
Implementation Issues of Sliding Mode Control Theory
Control of Mixing in Shear Flows
Novel Neural Network Control Techniques for Industrial Motion Control Systems
Physiological Control Systems
Optimal Control of Hybrid Systems
Stochastic Models for Communication Networks
Control and Stabilisation of Nonlinear Systems
New Directions in Robust Control
Linear Systems Theory
Advanced Topics in Systems Theory
Estimation in Action
Bifurcations, Chaos and Control II
New Progress in Synthesis of Nonlinear Systems II
Numerical Design and Analysis Techniques for Nonlinear Systems
Analysis and Control of Underactuated Systems
Sliding Mode Control I
Challenges in the Application of Control to Computer Systems
Estimation and Diagnosis of Discrete Event Systems
Communications and Games
Optimal Control
Stochastic Systems
Model Reduction Methodologies
Identification and Subspace Methods
Applications of Nonlinear Adaptive Control
Advances in Nonlinear Output Feedback Design
The Behavioural Approach to Systems and Control
Vision Based Estimation and Control: Recent Advances and Open Problems
Agile Control of Military Operations
Sliding Mode Control II
Model-based Fault Diagnosis of Industrial Processes
Discrete Event Systems / Petri Nets
System Identification and Confidence Estimation
New Approaches to H-Infinity Control I
Probabilistic Approaches to Robust Control
Time Delay System Stabilisation
Identification Methods
Controlled Stochastic Processes
Output Feedback of Nonlinear Systems
Topics in Nonlinear Stabilisation
Mobile Robots: Tracking Control
Robust Control of Nonlinear Systems
Power Systems Stabilisation and Control
Disk Drive Control
Hybrid Control Applications
Discrete Time Systems
New Approaches to H-Infinity Control II
Linear Systems with Saturating Actuators
New Theories in Distributed Parameter Systems
Applications of Estimation and Identification
Stochastic Control and Tuning Methodologies
Control of Nonlinear Systems
Iterative Learning and Control
Coordinating Robot Systems
Nonlinear Time Varying Systems
Novel Applications of Neural Networks
Aerospace Applications
Switched Systems
Implicit and Descriptor Systems
LQG
Periodic Systems and Disturbances
New Horizons for Distributed Parameter Systems
State Estimation
Learning and Neuro-Control
Nonlinear Control and Stabilisation I
Tracking
Vision Servoing
Controllability of Nonlinear Systems
Control of Flexible Systems
Electro-Mechanical Systems
Robust Control Methods and Applications
Fault Detection and Diagnosis
Optimisation and Applications
Robust Stability Analysis
Numerical Methods in Control
Filtering in Continuous Time Stochastic Systems
Interplay between Control and Signal Processing
Fault Detection and Analysis
Nonlinear Dynamical Systems
Nonlinear Time Delay Systems
Computational Issues in Nonlinear Control
Disturbance Rejection
Process Control Industry Applications
Linear Parameter Varying Systems
Linear Control Systems
Dynamic and Nonlinear Programming
Model Reduction Applications
New Techniques for Control and Systems: Numerical Linear Algebra
Estimation and Identification using Hidden Markov Models
Applications of Stochastic Control
Topics in Linear Design
Nonlinear Control and Stabilisation II
Ambulatory Robot Systems
Chaotic and Oscillatory Systems
Biomedical System Control
Integrated Control and CPU Scheduling
Linear Design Techniques
Adaptive Disturbance / Noise Compensation
Nonlinear Model Predictive Control
Sensitivity Design, Analysis and Limitations
Analysis of Linear Systems
Linear Matrix Inequalities in Design
Lyapunov's 2nd Method
Robotics: Tracking Control
Lagrangian and Hamiltonian Theory
Variable Structure Control
Machine Vision
Signal Processing Methods in Control
Applied Nonlinear Control

Author Index
A B C D E F G H I
J K L M N O P Q R
S T U V W X Y Z

Performance Limitations in the Robust Servomechanism Problem for Discrete Time Periodic Systems

Authors:

Lamia Ben Jemaa, Edward J. Davison,

Volume: 1, Page 3708 Paper number 59

Abstract:

Fundamental limitations for error tracking/regulation are obtained for the robust servomechanism problem (RSP) for discrete time periodic systems. In studying this problem, the RSP for a multi-input/multi-output discrete time system is considered. Application of these results is then made to the ``periodic system robust servomechanism problem'', and explicit expressions for the limiting costs for error tracking regulation are obtained. These limitations can be characterized completely by the number and location of the non-minimum phase transmission zeros.

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A Disturbance-Rejection Problem With Dynamic Compensator For Linear (omega)-Periodic Discrete-Time Systems

Authors:

Naohisa Otsuka,

Volume: 1, Page 3715 Paper number 68

Abstract:

In this paper necessary conditions and / or sufficient conditions for the solvability of the disturbance-rejection problem with dynamic compensator which was investigated by Grasselli and Longhi is given for linear fÖ-periodic discrete-time systems without assuming that the order of dynamic compensator is equal to that of system plant. Further, the minimal order of dynamic compensator which is necessary for the solution of the problem is also investigated under the assumption that the disturbance map does not depent on the time.

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Stability Tests for a Class of Differential Linear Repetitive Processes with Dynamic Boundary Conditions

Authors:

S.E. Benton, Eric Rogers, David H. Owens,

Volume: 1, Page 3721 Paper number 1125

Abstract:

Repetitive processes are a distinct class of 2D systems of both practical and theoretical interest. Their essential characteristic is repeated sweeps, termed passes, through a set of dynamics defined over a finite duration with explicit interaction between the outputs, or pass profiles, produced as the process dynamics evolve. Experience has shown that these processes cannot be studied/controlled by direct application of existing theory (in all but a few very restrictive special cases). This fact, and the growing list of applications areas, has prompted an on-going research programme into the development of a `mature' systems theory for these processes into reliable generally applicable controller design algorithms. This paper develops stability tests for a sub-class of so-called differential linear repetitive processes in the presence of a general set of initial conditions, where it is known that the structure of these conditions is critical to their stability properties.

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Robust LQ Control for Harmonic Reference/Disturbance Signals

Authors:

Hakan Köroglu, Ömer Morgül,

Volume: 1, Page 3727 Paper number 1039

Abstract:

Linear Quadratic (LQ) controller design is considered for continuous- time systems with harmonic signals of known frequencies and it is shown that the design is reducible to an interpolation problem. All LQ optimal loops are parametrized by a particular solution of this interpolation problem and a (free) stable/proper transfer function. The appropriate choice of this free parameter for optimal stability robustness is formulated as a multiobjective design problem and reduced to a Nevanlinna-Pick interpolation problem with some interpolation points on the boundary of the stability domain. Using a related result from the literature, it is finally shown that, if there is sufficient penalization on the power of the control input, the level of optimum stability robustness achievable with LQ optimal controllers is the same as the level of optimum stability robustness achievable by arbitrary stabilizing controllers.

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Repetitive Learning Controller for CVCF PWM DC/AC Converter

Authors:

Keliang Zhou, Danwei Wang,

Volume: 1, Page 3733 Paper number 1277

Abstract:

In this paper, a repetitive learning control (RC) scheme is proposed for const-voltage const-frequency (CVCF) pulsewidth modulated (PWM) AC/DC converter. The repetitive controller is designed to force periodic tracking error approach zero asymptotically. The design theory of repetitive learning controller is described systematically and the stability analysis of overall system is discussed. The proposed DC/AC converter offers minimized voltage total harmonics distortion (THD) under parameter uncertainties and load disturbances. Simulation results are provided to illustrate the validity of the proposed scheme.

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Design of Robust Repetitive Control System For Multiple Periods

Authors:

Manabu Yamada, Zaier Riadh, Yasuyuki Funahashi,

Volume: 1, Page 3739 Paper number 1610

Abstract:

In this paper, a new approach to regulate quickly any periodic signals with multiple periods is proposed and a useful multiple repetitive control system is presented from the practical viewpoint. The contributions are as follows: First, the dead-time length of the periodic generator is reduced to the sum of all the periods. Therefore, the proposed multiple repetitive controller not only can be implemented with much less memory element than the previous ones but also can provide much faster convergence of the controlled error to zero. Secondly, the proposed repetitive controller not only can assure the stability of the multiple repetitive control system but also can assign all poles of the closed loop system on the disk with a given radius whose center is the origin. Thirdly, the proposed controller is obtained in an explicit form and the design method requires to solve no equation. The design effort is very small even if the periods are very large. Fourthly, the robustness of the system is improved by introducing a low pass zero phase filter. Finally, the effectiveness is demonstrated by simulation.

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Vibration Suppression and Optimal Repetitive Disturbance Rejection Control in Semi-Nyquist Frequency Region Using Multirate Sampling Control

Authors:

Hiroshi Fujimoto, Yoichi Hori,

Volume: 1, Page 3745 Paper number 1439

Abstract:

In this paper, novel multirate feedback controllers are proposed for digital control systems with relatively long sampling period. The proposed controllers achieve vibration suppression and disturbance rejection even in the semi-Nyquist frequency region. First, the continuous-time vibration suppression controller is exactly discretized by the multirate sampling control based on the closed-loop characteristics. Second, the multirate repetitive controllers are proposed both by the feedback and feedforward approaches. Moreover, the inter-sample disturbance rejection performance is optimized by the fast sampling approach. The proposed controllers are applied to the settling and following modes of hard disk drive, and the advantages of these approaches are demonstrated by simulations.

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