CDC2000 Robust Controller Design - mu, L1 and H2

Robust Controller Design - mu, L1 and H2
Home Full List of Titles 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 Automotive Applications 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 Motion Planning Neural / Fuzzy Stability and Control Motor Control Control of Quantum Phenomena I Hybrid Systems Methods Control in Communication Networks Robustness and Optimisation Bumpless Transfer, Antiwindup and Saturation Adaptive Control: Linear Systems Estimation and Closed Loop Identification 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	Maximally Robust Controllers for Multivariable Systems Authors: S.K. Gungah, G.D. Halikias, Imad M. Jaimoukha, Volume: 1, Page 595 Paper number 1279 Abstract: The set of all optimal controllers which maximize a robust stability radius for unstructured additive perturbations may be obtained using Hankel-norm approximation methods. These controllers guarantee robust stability for all perturbations which lie inside an open ball in the uncertainty space (say of radius r_1). Necessary and sufficient conditions are obtained for a perturbation lying on the boundary of this ball to be destabilizing for all maximally robust controllers. It is thus shown that a ``worst-case direction'' exists along which all boundary perturbations are destabilizing. By imposing a parametric constraint such that the permissible perturbations cannot have a ``projection'' of magnitude larger than (1-(delta) ) r_1,0<(delta)<= 1, in the most critical direction, the uncertainty region guaranteed be be stabilized by a subset of all maximally robust controllers can be extended beyond the ball of radius r_1. The choice of the ``best'' maximally robust controller - in the sense that the uncertainty region guaranteed to be stabilized becomes as large as possible - is associated with the solution of a superoptimal approximation problem. Expressions for the improved stability radius are obtained and some links with µ-analysis are pursued. CD001279.PDF (From Author) TOP A Strict LMI Condition for H_2 Control of Descriptor Systems Authors: Masao Ikeda, TickWoon Lee, Eiho Uezato, Volume: 1, Page 601 Paper number 1146 Abstract: This paper presents a new LMI condition for H2 control of linear time-invariant descriptor systems. The condition is expressed in terms of definite LMIs with no equality constraint, which is much more tractable in numerical computation than existing conditions for descriptor systems, that is, definite LMIs with equality constraints or semidefinite LMIs. Using the results of this paper, we can analyze and design descriptor systems in the almost same way as in the case of state-space representations. CD001146.PDF (From Author) TOP Fixed-Structure Controller Synthesis for Real and Complex Multiple Block-Structured Uncertainty Authors: Joseph R. Corrado, Wassim M. Haddad, VijaySekhar Chellaboina, Volume: 1, Page 605 Paper number 106 Abstract: This paper uses a unifying absolute stability result for mixed uncertainty in conjunction with a quasi-Newton numerical optimization routine to obtain fixed-structure controllers and fixed-order stability multipliers which provide robust stability and performance. The robust controller synthesis technique proposed here permits the treatment of fully populated real uncertain blocks which may, in addition, possess internal structure. CD000106.PDF (From Author) TOP A State-Space Algorithm for the Simultaneous Optimisation of Performance Weights and Controllers in µ-Synthesis Authors: Alexander Lanzon, Michael Cantoni, Volume: 1, Page 611 Paper number 1310 Abstract: A conceptually new approach to the µ-synthesis robust performance problem is proposed in this paper. Performance weights, maximised with respect to a suitable cost function that captures the desired closed-loop performance, are synthesised simultaneously with an internally stabilising controller to immediately achieve robust performance. The designer is only required to specify the plant set and an optimisation directionality. This directionality only appears in the cost function and reflects the desired closed-loop properties in particular frequency regions. Correspondingly, this approach greatly simplifies the often long and tedious process of designing ``good'' performance weights directly. CD001310.PDF (From Author) TOP Q Domain Sub/Super-Optimization Linear Programming Methods For MIMO l_1 Control Problems Authors: Alessandro Casavola, Domenico Famularo, Volume: 1, Page 617 Paper number 1589 Abstract: In this paper, the MIMO multi-block l1-optimal control problem is considered. It is shown that it can be converted via polynomial equation techniques to an infinite dimensional linear programming (LP) problem. Finite dimensional sub/super approximations can be determined by considering two sequences of modified finite dimensional linear programming problems derived directly from the YJBK parameterization by exploiting the underlying algebraic structure. This approach induces the application of a consistent truncation strategy that leads to a redundancy-free constraint formulation and, as a consequence, to linear programming problems less affected by degeneracy. Further, more insight on the algebraic structure of the problem and on the achievement of exact rational solutions is provided, allowing the development of a simple and conceptually attractive theory. CD001589.PDF (From Author) TOP Virtual Reference Feedback Tuning (VRFT): a New Direct Approach to the Design of Feedback Controllers Authors: Marco C. Campi, Andrea Lecchini, Sergio M. Savaresi, Volume: 1, Page 623 Paper number 1306 Abstract: In this paper we discuss a new method for the data-based design of feedback controllers in a linear setting. The main features of the method are that it is a direct method (no model identification of the plant is needed) and that it can be applied using a single set of data generated by the plant with no need for specific experiments nor iterations. It will be shown that the method searches for the global optimum of the design criterion and that, in the significant case of restricted complexity controller design, the achieved controller is a sensible approximation (under some reasonable hypotheses) of the restricted complexity global optimal controller. As an extra contribution it is also presented a controller validation test aiming at ascertain the closed-loop stability before that the designed controller is applied to the plant. A numerical example ends the paper. CD001306.PDF (From Author) TOP Generalized Lyapunov Equations for Stable Singular System Authors: Zhou Gang, Zhang Qinging, Jing Haiying, Wanquan Liu, Volume: 1, Page 630 Paper number 9036 Abstract: Linear time-invariant singular system E(dot-)x(t)=Ax(t)+Bu(t), y(t)=Cx(t) is treated. Two generalized Lyapunov equations for the stable system, one for controllability and the other one for observability, are constructed. The sufficient and necessary conditions for the existence of unique, positive definite solutions to the two equations are derived. CD009036.PDF (From Author) TOP