Robustness and Optimisation

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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
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Nonlinear Control and Applications
Nonlinear Estimation and Filtering
Formation Control and its Applications
New Approaches to Fuzzy Control
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Recent Advances in Stochastic Networks
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Robust Controller Design - mu, L1 and H2
Constrained and Receding Horizon Control
Identification and Control around the World
Markov Decision Processes
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Observers for Nonlinear Systems
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Control of Quantum Phenomena I
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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
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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
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Implicit and Descriptor Systems
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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

On Avoiding Vertexization of Robustness Problems: The Approximate Feasibility Concept

Authors:

B. Ross Barmish, Pavel S. Shcherbakov,

Volume: 1, Page 1031 Paper number 1967

Abstract:

For a large class of robustness problems with uncertain parameter vector q confined to a box Q, there are many papers providing results along the following lines: The desired performance specification is robustly specified for all q in Q if and only if it is satisfied at each vertex q_i of Q. Since the number of vertices of G explodes combinatorically with the dimension of q, the computation associated with the implementation of such results is often intractable. The main point of this paper is to introduce a new approach to such problems. To this end, the definition of approximate feasibility is introduced, and the theory which follows from this definition is vertex-free.

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Probabilistic Robust Design with Linear Quadratic Regulators

Authors:

Boris T. Polyak, R. Tempo,

Volume: 1, Page 1037 Paper number 1212

Abstract:

In this paper, we study robust design of uncertain systems in a probabilistic setting by means of Linear Quadratic Regulators. We consider systems affected by random bounded nonlinear uncertainty so that classical optimization methods based on Linear Matrix Inequalities cannot be used without conservatism. The approach followed here is a blend of randomization techniques for the uncertainty together with convex optimization for the controller parameters. In particular, we propose an iterative algorithm for designing a controller which is based upon subgradient iterations. At each step of the sequence, we first generate a random sample and then we make a subgradient step for a convex constraint defined by the LQR problem. The main result of the paper is to prove that this iterative algorithm provides a controller which quadratically stabilizes the uncertain system with probability one in a finite number of steps. In addition, at a fixed step, we compute a lower bound of the probability that a quadratically stabilizing controller is found.

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Global Uniqueness Tests for H-Infinity Optima

Authors:

J. William Helton, Marshall A. Whittlesey,

Volume: 1, Page 1043 Paper number 1720

Abstract:

Optimization of sup norm type performance functions over the space of H-infinity functions is central to the subject of H-infinity design. Problems with a large amount of plant uncertainty are often highly non-convex and therefore may have many solutions. In this article, even for highly non-convex problems, we give a test one can perform, once a local optimum f has been computed, to see if it is a global optimum. The uniqueness phenomena we discovered uses H-infinity properties (stability properties) heavily and are considerably stronger than what occurs in other types of general optimization. One of the least intuitive properties of SISO control is that a (local) optimum for a carefully set up H-infinity problem even with large amounts of plant uncertainty is unique. Such problems can be quite non -convex so the fact is surprising. While the result is false in general for MIMO control, in this note we are describing MIMO situations where uniqueness holds. The setting in this paper is simultaneous (Pareto) optimization of several competing performances and we obtain uniqueness results for its solutions.

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Generalized Design of Mixed H-Infinity/Deadbeat Suboptimal Controllers for SISO Continuous-Time Servo Systems

Authors:

Satoru Tanaka, Katsuhisa Furuta,

Volume: 1, Page 1049 Paper number 9906

Abstract:

This paper is concerned with a mixed H-infinity/deadbeat suboptimal control problem for SISO continuous servo systems. By considering the deadbeat tracking, time domain performance may improve. Simultaneously, to improve frequency domain performance of the closed loop system, H-infinity norm constraint is introduced. This problem gives the deadbeat tracking control with H-infinity norm constraint and has been studied by Nobuyama et al. and Tsumura et al. individually. However, there is a structural difference between their designs. This paper proposes a new controller design of the mixed H-infinity/deadbeat suboptimal control problem. The controller is more general since the structure of the controller covers those of the previous two designs.

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Risk-Sensitive and Robust Control of Discrete Time Hybrid Systems

Authors:

Thordur Runolfsson,

Volume: 1, Page 1055 Paper number 1912

Abstract:

In this paper we study systems that are subject to sudden structural changes due to either changes in the operational mode of the system or due to failure. We consider linear dynamical that depend on a modal variable which is either modeled as a finite state Markov chain or generated by an automaton that is subject to an external disturbance. In the Markov chain case the objective of the control is to minimize a risk sensitive cost functional. The risk sensitive cost functional measures the risk sensitivity of the system to transitions caused by the random modal variable. In the case when a disturbed automaton describes the modal variable, the objective of the control is to make the system as robust to changes in the external disturbance as possible. Optimality conditions for both problems are derived and it is shown that the disturbance rejection problem is closely related to a certain risk sensitive control problem for the hybrid system.

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A Disk ``Optimal'' Robust Pole Assignment Using Genetic Algorithms

Authors:

Giuseppe Franzé, Pietro Maria Muraca,

Volume: 1, Page 1061 Paper number 1084

Abstract:

This paper presents a method for determining the maximum allowable perturbation, for m.i.m.o. linear-invariant uncertain system, such that the closed-loop poles are assigned in a specifie disk by static output feedback; the uncertainty being norm-2 bounded. A sufficient condition for d-stabilizability is derived. Hence, in order to solve the related optimization problem a genetic-like algorithm is performed. An illustrative example shows the effectiveness of the proposed procedure.

CD001084.PDF (From Author)

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