Control and Stabilisation of Nonlinear Systems

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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
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

Global Stabilization of a Class of Uncertain Systems with Saturated Adaptive Robust Control

Authors:

J. Q. Gong, Bin Yao,

Volume: 1, Page 1882 Paper number 2176

Abstract:

In this paper, a class of saturated adaptive robust control (SARC) laws are developed for nonlinear systems in the ``chain-of-integrator'' form with both parametric uncertainties and non-repeatable uncertainties. A guaranteed transient performance and final tracking accuracy is achieved in general. Furthermore, asymptotic output tracking is also achievable provided that the system undergoes parametric uncertainties only. Discontinuous projection method is used in the adaptation law for a controlled learning. Given the saturation limits of control authority, certain criteria are obtained to predict the achievable high-performance working range of the closed-loop system by taking into account the order of system, the bounds of both parametric uncertainties and non-repeatable nonlinearities, and the required performance, such as reaching time. At the same time, these criteria can also be used in the trajectory planning to obtain realizable desired trajectories. Consequently, an integrated design of achievable desired trajectory and control law is achieved. The proposed SARC is then applied to the control of a linear motor drive system, and excellent output tracking performance is obtained in experiments.

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Controller Synthesis For Stabilizing Periodic Orbits In Forced Nonlinear Systems

Authors:

Michele Basso, Roberto Genesio, Alberto Tesi,

Volume: 1, Page 1888 Paper number 2058

Abstract:

Delayed feedback controllers are an appealing tool for the stabilization of periodic orbits in nonlinear systems. Unfortunately, their inherent infinite dimensional structure prevents from the definition of reliable design procedures. This paper considers the use of finite dimensional linear time invariant controllers for the stabilization of periodic solutions in a general class of sinusoidally forced nonlinear systems. Such controllers -- which can be interpreted as rational approximations of the delayed ones -- provide an LMI-based synthesis technique, by mixing results concerning absolute stability of nonlinear systems and robustness of uncertain linear systems. In particular, the synthesis algorithm is able to select the controller maximizing a lower bound of the maximum amplitude of the forcing input, for which the corresponding periodic solutions are guaranteed to be stable. A single-mode CO2 laser is employed to illustrate the main features of the developed synthesis technique.

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Finite Time Stability And Stabilization

Authors:

Wilfrid Perruquetti, Serguey Drakunov,

Volume: 1, Page 1894 Paper number 1629

Abstract:

In this paper, finite time stability and stabilization are investigated for systems described by ordinary differential equations (ODE) or differential inclusions: some sufficient conditions are given for scalar and n-dimensional cases. Then, a stabilization result for i/o linearizable systems is derived from these results.

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Sufficient Conditions for Invariance Control of a Class of Nonlinear Systems

Authors:

Jörg Mareczek, Martin Buss, Günther Schmidt,

Volume: 1, Page 1900 Paper number 1421

Abstract:

This paper addresses control of nonlinear, control input affine systems coupled with a controllable linear subsystem via state and control variables. The proposed method of Invariance Control achieves positive invariance of a state space region and exponential stability of the linear subsystem. A design method for a switching controller and sufficient conditions for positive invariance are presented. The proposed theory is illustrated by simulations of a non-minimum phase system with partly stable zero-dynamics.

CD001421.PDF (From Author)

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Stabilization Of Nonholonomic Chained Systems Via Nonregular Feedback Linearization

Authors:

Zhendong Sun, Shuzhi Sam Ge, Wei Huo, Tong-Heng Lee,

Volume: 1, Page 1906 Paper number 1175

Abstract:

This paper addresses the problem of feedback stabilization of nonholonomic chained systems within the framework of nonregular feedback linearization. Firstly, the nonsmooth version of nonregular feedback linearization is formulated, and a criterion for nonregular feedback linearization is provided. Then, it is proved that a chained form is linearizable via nonregular feedback control, thus enable us to design feedback control laws using standard techniques for linear systems. The obtained discontinuous control laws guarantee convergence of the closed-loop system with exponential rates. Finally, simulation results are presented to show the effectiveness of the approach.

CD001175.PDF (From Author)

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Smooth Exponential Stabilization of Nonholonomic Systems via Time-Varying Feedback

Authors:

Yu-Ping Tian, Shihua Li,

Volume: 1, Page 1912 Paper number 1054

Abstract:

The problem of global exponential stabilization of a class of nonholonomic systems via smooth time-varying control is addressed. It is shown that smooth aperiodic time-varying controls for globally exponentially stabilizing a nonholonomic system can be easily synthesized if the system is augmented with some auxiliary state(s). The proposed method proves to be effective for a wide class of nonholonomic systems including the chained form system, multiple chained form system, power form system, Brockett system, etc. Simulation examples are introduced to demonstrate the effectiveness of the method.

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