L(1)-Optimal Control Using State Space, Controlled Invariance Based Methods

The application of this controlled invariance based solution method to linear time-invariant systems (LTI) is presented first. Also included is a discussion of a related estimation technique which utilizes a set-valued estimation approach to produce an estimate which is optimal in an $\ell\sp{\infty}$-induced norm sense. The controlled invariance based solution method is then generalized to linear periodically time varying (LPTV) systems. The resulting control law construction method can be used to produce a memoryless periodically varying nonlinear controller, which achieves near-optimal performance. The controlled invariance based solution method is also generalized to linear multirate systems (LMR) systems. As the structure of multirate systems inherently precludes access to the entire state at every time step, the aforementioned set-valued estimation technique is utilized in this solution method. It is shown that this control law construction method can be used to produce a memoryless nonlinear multirate controller, which achieves near-optimal performance.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Aubrecht, Johannes Aumack Schmidt

Contributors dc:contributor

• Petros Voulgaris

• Engineering, Electronics and Electrical

Language dc:language

eng

Identifier

(MiAaPQ)AAI9812524

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/83953