title: Linear optimal control of continuous time chaotic systems.
abstract: In this research study, chaos control of continuous time systems has been performed by using dynamic programming technique. In the first step by crossing the response orbits with a selected Poincare section and subsequently applying linear regression method, the continuous time system is converted to a discrete type. Then, by solving the Riccati equation a sub-optimal algorithm has been devised for the obtained discrete chaotic systems. In the next step, by implementing the acquired algorithm on the quantized continuous time system, the chaos has been suppressed in the Rossler and AFM systems as some case studies.
authors.affiliation: Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11155-9567, Tehran, Iran.
authors.forename: Kaveh
authors.initials: K
authors.lastname: Merat
authors.affiliation: Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11155-9567, Tehran, Iran.
authors.forename: Jafar
authors.initials: J
authors.lastname: Abbaszadeh Chekan
authors.affiliation: Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11155-9567, Tehran, Iran. Electronic address: salarieh@sharif.edu.
authors.forename: Hassan
authors.initials: H
authors.lastname: Salarieh
authors.affiliation: Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11155-9567, Tehran, Iran.
authors.forename: Aria
authors.initials: A
authors.lastname: Alasty
keywords: AFM system; Chaos; Continuous time system; Optimal control; Rossler system