Control of Nonlinear Systems

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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

Design of Linear Dynamic Controllers for a Class of Nonlinear Systems

Authors:

Jure Medanic,

Volume: 1, Page 3375 Paper number 42

Abstract:

Integral transformations are applied to a fourth order nonlinear system with two nonlinearities. The stabilizing control is developed based on an asymptotic analysis that defines the appropriate controller structure, one in which all variables remain bounded and approach well defined limits. The results are generalized to higher order systems with a similar structure, and are the basis for the design of a dynamic controller to stabilize a related class of nonlinear systems.

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Linearization By Prolongations Of Two-Input Driftless Systems

Authors:

Enric C. Fossas, Jaume B. Franch, Sunil K. Agrawal,

Volume: 1, Page 3381 Paper number 1475

Abstract:

This communication deals with the problem of linearization by prolongations of two-input driftless systems. For general two-input systems, the number of computations needed to check if a system is linearizable by prolongations is quite large. However, for driftless systems, the conditions presented in this paper require very few computations. The methodology is illustrated for some engineering systems which fulfill these conditions, e.g., a unicycle, a planar robot, and a hopping robot.

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Control Design Using Jordan Controllable Canonical Form

Authors:

Krishna K. Busawon,

Volume: 1, Page 3386 Paper number 123

Abstract:

In this paper, we present a new control design strategy for a class of single-input nonlinear dynamical systems. The design consists in transforming the system into a new controllable canonical form which we call the Jordan controllable canonical form (JCCF). In fact, the Brunowski controllable canonical form is an special case of the JCCF. We first show that any controllable pair can be transformed into the JCCF. We next, extend the result to a controllable pair which is state dependent. Using this extended Jordan controllable canonical form we propose a control design strategy for a class of single-input control affine systems. The design is simple and systematic and provides two degrees of freedom to fix the convergence of the closed-loop system. An example is given to illustrate the control design.

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Series Expansions for Analytic Systems Linear in the Controls

Authors:

Francesco Bullo,

Volume: 1, Page 3392 Paper number 1360

Abstract:

This paper presents a series expansion for the evolution of nonlinear systems which are analytic in the state and linear in the controls. An explicit recursive expression is obtained assuming that the input vector fields are constant. Additional simplifications take place in the analysis of systems described by second order polynomial vector fields. Sufficient conditions are derived to guarantee uniform convergence over the finite and infinite time horizon. The treatment relies only on elementary notions on analytic functions, number theory and operator norms.

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Discretization of a Non-Linear, Exponentially Stabilizing Control Law Using an L_p-Gain Approach

Authors:

Guido Herrmann, Sarah K. Spurgeon, Christopher Edwards,

Volume: 1, Page 3398 Paper number 9504

Abstract:

This paper considers the input-output stability of exponentially stable, non-linear systems with sampled-data output. Results for linear systems are generalized showing that the Lp-gain with respect to the sampled-data output exists and converges to the Lp-gain associated with the continuous-time output when the sampling period approaches +0. The results are applied to a non-linear control configuration and compared to a Lyapunov function analysis based approach previously developed for a non-linear sliding-mode like control. In contrast to the Lyapunov function technique, the sampling-time constraint vanishes for a stable plant if no control is used.

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Irreducibility Conditions For Nonlinear Input-Output Difference Equations

Authors:

Ülle Kotta,

Volume: 1, Page 3404 Paper number 1863

Abstract:

The purpose of this paper is to present a new necessary and sufficient condition for irreducibility of nonlinear input-output (i/o) difference equation which extends directly the corresponding condition for the linear case. The condition is presented in terms of the common left factors of two polynomials describing the behavior of the system; the basic difference is that unlike the linear case the polynomials related to the nonlinear system belong to a non-commutative polynomial ring. This condition provides a bases for finding the minimal (irreducible) equivalent representation of the i/o equation which is a suitable starting point for constructing a minimal state space representation.

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Homogeneous State Feedback Stabilization Of Homogeneous Systems

Authors:

Lars Grüne,

Volume: 1, Page 3409 Paper number 8

Abstract:

We show that for any asymptotically controllable homogeneous system in euclidian space (not necessarily Lipschitz at the origin) there exists a homogeneous control Lyapunov function and a homogeneous, possibly discontinuous state feedback law stabilizing the corresponding sampled closed loop system. We also show the relation between the degree of homogeneity and the bounds on the sampling rates which ensure asymptotic stability.

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