English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  On the Maximum Principle for Impulsive Hybrid Systems

Azhmyakov, V., Attia, S. A., & Raisch, J. (2007). On the Maximum Principle for Impulsive Hybrid Systems. In Proceedings of the 13th Czech-French-German Conference on Optimization (pp. 53-54).

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-990D-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-A1CE-9
Genre: Meeting Abstract

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Azhmyakov, Vadim1, Author
Attia, Sid Ahmed2, Author
Raisch, Jörg2, 3, Author              
Affiliations:
1Dep. of Control Automation, CINVESTAV, Mexico City, Mexico, persistent:22              
2TU Berlin, persistent:22              
3Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738154              

Content

show
hide
Free keywords: hybrid systems; optimal control; Maximum principle; optimal control algorithms
 Abstract: Hybrid systems consist of dynamical systems where both continuous and discrete event dynamics are interacting. These are widely accepted as realistic models of diverse technical systems and processes, for instance, industrial electronics, power systems, maneuvering aircrafts, automotive control systems, chemical processes and communication networks. Recently optimization problems and variants of the Maximum Principle (MP) for hybrid systems have attracted a great deal of attention. Both theoretical results and computational techniques were developed see e.g.,[1]-[14]. These results are extended here to a general class of hybrid systems with state jumps and the corresponding constrained optimal control problems. The family of hybrid optimization problems under consideration (called Impulsive Hybrid Optimal Control Problems IHOCP) include dynamical systems with internally forced switchings and continuous control signals. The discrete state transitions are triggered by the continuous state and are accompanied by a discontinuous change in the latter variable. This class captures phenomena arising e.g., in cyclically operated batch processes and certain epidemic propagation models. Using the mathematical techniques of distributional derivatives and impulsive differential equations, we extend the necessary optimality conditions to the above class of problems (IHOCPs). We obtain specific elements of the Impulsive Hybrid MP (IHMP), namely, the corresponding boundary-value problem and some additional relations. As in the classical case, the proposed IHMP provides a basis for diverse computational algorithms for the treatment of IHOCPs.

Details

show
hide
Language(s): eng - English
 Dates: 2007
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 327664
 Degree: -

Event

show
hide
Title: 13th Czech-French-German Conference on Optimization
Place of Event: Heidelberg, Germany
Start-/End Date: 2007-09-17 - 2007-09-21

Legal Case

show

Project information

show

Source 1

show
hide
Title: Proceedings of the 13th Czech-French-German Conference on Optimization
Source Genre: Proceedings
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 53 - 54 Identifier: -