Title
Prescribing transient and asymptotic behaviour to deterministic systems with stochastic initial conditions
Author
Dresscher, M.
Jayawardhana, B.
Publication year
2020
Abstract
We study a containment control problem (CCP) and a shape control problem (SCP) for systems whose initial condition is a random variable with known distribution. The two control problems both require exponential convergence to a desired trajectory, which is complemented by either; (i) a required cumulative distribution over a prescribed containment set at a specific transient time for the CCP, or;(ii)a maximum distance between an attained and a desired probability density function of the state for the SCP. For the CCP, we obtain solutions for both linear and nonlinear systems by designing the closed-loop such that the initial pdf shrinks or contracts to a desired trajectory. For the SCP, we obtain solutions for linear systems and an admissible desired pdf, by designing the closed-loop such that the evolution of the pdf at the transient time is similar to the target pdf.
Subject
Control systems with prescribed transient behaviour
Systems with stochastic initial conditions
Contraction-based control method
Robotic manipulator
Process control
High Tech Systems & Materials
Industrial Innovation
To reference this document use:
http://resolver.tudelft.nl/uuid:b5da6e0b-a0c4-4ff4-b118-715bfd8785e4
DOI
https://doi.org/10.1080/00207179.2020.1774077
TNO identifier
878634
Publisher
Taylor & Francis, Abingdon, Oxfordshire, UK
ISSN
0020-7179
Source
International journal of control, 2-14
Document type
article