Optimal Stochastic SD Control With Preview

Polyakov, K. Yu.; Rosenwasser, Efim N.; Lampe, Bernhard P.

doi:10.1109/tac.2007.900845

Cited by 7 publications

(1 citation statement)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, preview control has drawn greater attention [2,7]. It has been integrated with other control theories to propose some new conceptions such as ∞ preview control in [8,9], FI (full-information) preview control in [9], and stochastic optimal preview control in [10,11].…”

Section: Introductionmentioning

confidence: 99%

Novel Approach to Preview Control for a Class of Continuous-Time Systems

Liao

2015

Journal of Control Science and Engineering

View full text Add to dashboard Cite

This paper explicates a new method of designing a preview controller for a class of continuous-time systems. The augmented error system is constructed by the error system with the derivative of the tracking error signal, the state equation, and an identical equation of the derivative of the control input, which transforms a tracking problem into a regulation problem. Therefore, in the paper, the performance index contains the derivative of the control input. Based on the theory of optimal control, the regulator problem of the augmented error system is solved. Thus, the controller with preview compensation for the original system is deduced. The response speed of the closed-loop system is accelerated by the previewed demand output. A final numerical example is given to illustrate the validity of the proposed method.

show abstract

Section: Introductionmentioning

confidence: 99%

Novel Approach to Preview Control for a Class of Continuous-Time Systems

Liao

2015

Journal of Control Science and Engineering

View full text Add to dashboard Cite

show abstract

Linear quadratic optimal sampled data control of linear systems with unknown switched modes and stochastic disturbances

Lei

Song

2015

Optim. Control Appl. Meth.

View full text Add to dashboard Cite

Summary It is nontrivial to control a dynamic system that is switched consistently with a completely unknown switched modes. This problem is further complicated if the system is subject to stochastic disturbance. This paper studies the linear quadratic optimal control problem of linear continuous systems with stochastic disturbance and unknown switched process. By integrating one‐step adaptive estimator with optimal control theory, a linear quadratic optimal stabilization controller based on sampled feedback is developed for systems that are continuous in nature yet switched consistently with unknown modes. It is shown that with the proposed control scheme, both parameter estimate error and system stabilization error are ensured to be bounded, and the existence of the upper bound is explicitly confirmed. The results compliment and extend the existing works on digital feedback control of switched linear continuous systems with unknown switched processes and stochastic disturbances. Copyright © 2015 John Wiley & Sons, Ltd.

show abstract

Optimal Control Applications and Methods Literature Survey (No. 2)

2007

Optim Control Appl Methods

View full text Add to dashboard Cite

In order to keep readers up to date, the journal will contain a list of recently published journal articles relevant to optimal control six times a year. This list is compiled from a wide range of journals. Please note that even though the list has been broadly categorized these classifications are by no means strict, and are there to assist the reader. Please also note that inclusion in the list is not an endorsement of a paper's quality. If you have any suggestions or comments, please

show abstract

Optimal Stochastic SD Control With Preview

Cited by 7 publications

References 13 publications

Novel Approach to Preview Control for a Class of Continuous-Time Systems

Novel Approach to Preview Control for a Class of Continuous-Time Systems

Linear quadratic optimal sampled data control of linear systems with unknown switched modes and stochastic disturbances

Optimal Control Applications and Methods Literature Survey (No. 2)

Contact Info

Product

Resources

About