Nonlinear 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
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
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S T U V W X Y Z

Solutions of Nonlinear Optimal and Robust Control Problems via a Mixed Collocation/DAE's Based Algorithm

Authors:

Mazen Alamir,

Volume: 1, Page 742 Paper number 1119

Abstract:

A new algorithm for computing the solutions of nonlinear optimal and robust H_(infinity) control problems is proposed. The algorithm is based on the use of the collocation method to transform the PDE's into ODE's. The later can be viewed as a perturbed version of some set of ODE's that has an invariant sub-manifold and can Therefore be solved using the post stabilization technique. Some convergence results are given and several examples are presented.

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Finite-Horizon Optimal Control and Stabilization of Time-Scalable Systems

Authors:

J. Alexander Fax, Richard M. Murray,

Volume: 1, Page 748 Paper number 1774

Abstract:

In this paper, we consider the optimal control of time-scalable systems. The time-scaling property is shown to convert the PDE associated with the Hamilton-Jacobi-Bellman (HJB) equation to a purely spatial PDE. Solution of this PDE yields the value function at a fixed time, and that solution can be scaled to find the value function at any point in time. Furthermore, in certain cases the unscaled control law stabilizes the system, and the unscaled value function acts as a Lyapunov function for that system. The PDE is solved for the well-known example of the nonholonomic integrator.

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Optimal Control Of Nonlinear Differential Algebraic Equation Systems

Authors:

Peter D. Roberts, Victor M. Becerra,

Volume: 1, Page 754 Paper number 1262

Abstract:

A novel iterative procedure is described for solving non-linear optimal control problems subject to differential algebraic equations. The procedure iterates on an integrated modified linear quadratic model based problem with parameter updating in such a manner that the correct solution of the original non-linear problem is achieved. The resulting algorithm has a particular advantage in that the solution is achieved without the need to solve the differential algebraic equations . Convergence aspects are discussed and a simulation example is described which illustrates the performance of the technique.

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Efficient Dynamic Optimization for Nonlinear Model Predictive Control - Application to a High-Density Poly-Ethylene Grade Change Problem

Authors:

Rob L. Tousain, Okko H. Bosgra,

Volume: 1, Page 760 Paper number 9602

Abstract:

Nonlinear Model Predictive Control (NMPC) is believed to play an important role in improving the quality and flexibility of the production of many chemical plants. More widespread application can be expected when systematic solutions are found for modeling large-scale nonlinear processes and for efficient solution of the dynamic optimization problems NMPC entails. The control parametrization approach to dynamic optimization solves the dynamic optimization problem as a Nonlinear Program using e.g. the Sequential Quadratic Program (SQP) in the outer loop optimization problem. In the SQP approach, a reduced space Quadratic program is set up based on a quasi-Newton method estimate of the Hessian. We propose, based on an investigation of the structure of the Hessian of the NMPC problem, a different Hessian update procedure: part of the Hessian is calculated explicitly and only the part that relates to the second derivatives of the dynamics is estimated using a Hessian update. The proposed method shows a large improvement in computational efficiency for a semi-large-scale Poly-Ethylene reactor NMPC problem with 27 states and 6 inputs with 15 parameters each.

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Continuation/GMRES Method for Fast Algorithm of Nonlinear Receding Horizon Control

Authors:

Toshiyuki Ohtsuka,

Volume: 1, Page 766 Paper number 1567

Abstract:

This paper proposes a fast algorithm for nonlinear receding horizon control. The control input is updated by a differential equation to trace the solution of an associated two-point boundary-value problem. A linear equation involved in the differential equation is solved by the generalized minimum residual (GMRES) method, one of the Krylov subspace methods, with Jacobians approximated by forward differences. The error in the entire algorithm is analyzed and is shown to be bounded under mild conditions. The proposed algorithm is applied to a two-link arm whose dynamics is highly nonlinear.

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On Trajectory Optimization for Polynomial Systems via Series Expansions

Authors:

Francesco Bullo, W. Todd Cerven,

Volume: 1, Page 772 Paper number 1404

Abstract:

In this paper, we present algorithms for the design of feasible and optimal trajectories of nonlinear control systems. We focus on stable polynomial control systems linear in the controls. We prove existence of local solutions near the minimum energy control for the linearized system and we investigate provably convergent iterative schemes. Finally, we formulate the trajectory optimization problem as a low dimensional nonlinear program.

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