Prescribing transient and asymptotic behaviour to deterministic systems with stochastic initial conditions
article
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.
Topics
TNO Identifier
878634
ISSN
0020-7179 (Print)
1366-5820 (Online)
1366-5820 (Online)
Source
International journal of control, pp. 2-14.
Publisher
Taylor & Francis
Collation
14 p.
Place of publication
Abingdon, Oxfordshire, UK
Pages
2-14