Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-spline models

Guo, Lei; Wang, Hong

doi:10.1080/00207170412331326972

Cited by 47 publications

(32 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example, the initial conditions of the dynamical weights are always nonzero due to the constraint of the stochastic distribution modeled by neural networks (see, e.g., [7] for the continuous-time system and [8] for the discrete-time case). In this paper, with the proposed generalized H ∞ performance index, the compatible mixed H 2 /H ∞ filtering problem can be formulated for time-delay systems with nonzero initial conditions.…”

Section: Introductionmentioning

confidence: 99%

Multiobjective Filtering for Nonlinear Time-Delay Systems with Nonzero Initial Conditions Based on Convex Optimization

Guo

Yang

Fang

2006

Circuits Syst Signal Process

Self Cite

View full text Add to dashboard Cite

A multiobjective filtering problem is investigated for a class of continuous-time time-delay systems with nonzero initial conditions. The plant is supposed to have nonlinear dynamics and multiple time delays in both the state and the measured output. In order to address the compatible mixed H 2 and H ∞ performance measure for the filtering problem, the generalized H ∞ performance index is introduced instead of the standard one. The novel mixed H 2 and H ∞ filtering problem is formulated as an optimization problem, where the solvability conditions are provided via convex computation approaches. After some algebraic transformations and decompositions, the involved nonlinear constraints can be eliminated and linear matrix inequality-based convex algorithms can be given for the filter design. A simple example is given to illustrate the optimization algorithms.

show abstract

Section: Introductionmentioning

confidence: 99%

Multiobjective Filtering for Nonlinear Time-Delay Systems with Nonzero Initial Conditions Based on Convex Optimization

Guo

Yang

Fang

2006

Circuits Syst Signal Process

Self Cite

View full text Add to dashboard Cite

show abstract

“…CONTROLLER ALGORITHM DESIGN PI controllers are widely used in both theoretical studies and practical applications of industrial control over the last five decades [20]. The popularity of PI controller can be attributed to its robust performance in a wide range of operating conditions and to its very simple structure.…”

Section: Problem Formulationmentioning

confidence: 99%

Minimum entropy approach for robot manipulator

Skaf

AI-Bayati

Wang

2011

IEEE Conference on Decision and Control and European Control Conference

View full text Add to dashboard Cite

Abstract-In this paper, a new algorithm for an adaptive PI controller for nonlinear systems subject to stochastic nonGaussian disturbance is studied. The minimum entropy control is applied to decrease the closed-loop tracking error on an ILC basis. The key issue here is to divide the control horizon into a number of equal time intervals called batches. Within each interval, there are a fixed number of sample points. The design procedure is divided into two main algorithms, within each batch and between any two adjacent batches. A D-type ILC law is employed to tune the PI controller coefficients between two adjacent batches. However, within each batch, the PI coefficients are fixed. A sufficient condition is established to guarantee the stability of the closed-loop system. An analysis of the ILC convergence is carried out. Two-link robot manipulator example is included to demonstrate the use of the control algorithm, and satisfactory results are obtained.

show abstract

“…By substituting γ(y, u k (i)) with (3) and solving the equation for ν n,k (i) similar to [1], [12], it can be shown that the following state constraint shall be satisfied within each batch to guarantee that the measured γ(y, u k (i)) is a probability density function [1].…”

Section: A Problem Formulationmentioning

confidence: 99%

“…Substituting (12) in (8) yields the following closed-loop system for the weight control loop with the k th batch:…”

Section: Controller Designmentioning

confidence: 99%

Iterative fault tolerant control based on Stochastic Distribution

Skaf

AI-Bayati

Wang

et al. 2011

IEEE Conference on Decision and Control and European Control Conference

View full text Add to dashboard Cite

Abstract-A new design of a fault tolerant control (FTC)-based an adaptive, fixed-structure PI controller, with constraints on the state vector for nonlinear discrete-time system subject to stochastic non-Gaussian disturbance is studied. The objective of the reliable control algorithm scheme is to design a control signal such that the actual probability density function (PDF) of the system is made as close as possible to a desired PDF, and make the tracking performance converge to zero, not only when all components are functional but also in case of admissible faults. A Linear Matrix Inequality (LMI)-based FTC method is presented to ensure that the fault can be estimated and compensated for. A radial basis function (RBF) neural network is used to approximate the output PDF of the system. Thus, the aim of the output PDF control will be a RBF weight control with an adaptive tuning of the basis function parameters. The key issue here is to divide the control horizon into a number of equal time intervals called batches. Within each interval, there are a fixed number of sample points. The design procedure is divided into two main algorithms, within each batch, and between any two adjacent batches. A P-type ILC law is employed to tune the parameters of the RBF neural network so that the PDF tracking error decreases along with the batches. Sufficient conditions for the proposed fault tolerance are expressed as LMIs. An analysis of the ILC convergence is carried out. Finally, the effectiveness of the proposed method is demonstrated with an illustrated example.

show abstract

Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-spline models

Cited by 47 publications

References 21 publications

Multiobjective Filtering for Nonlinear Time-Delay Systems with Nonzero Initial Conditions Based on Convex Optimization

Multiobjective Filtering for Nonlinear Time-Delay Systems with Nonzero Initial Conditions Based on Convex Optimization

Minimum entropy approach for robot manipulator

Iterative fault tolerant control based on Stochastic Distribution

Contact Info

Product

Resources

About