On parameterized dissipation inequalities and receding horizon robust control

M. Lazar, R.H. Gielen

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

4 Citations (Scopus)

Abstract

This paper considers the standard input-to-state stability (ISS) inequality for discrete-time nonlinear systems, which involves a candidate Lyapunov function (LF) and a supply function that dictates the ISS gain of the system. To reduce conservatism, a set of parameters is assigned to both the LF and the supply function. A set-valued map, which generates admissible sets of parameters for each state and input, is defined such that the corresponding parameterized LF and supply function enjoy the standard ISS inequality. It is demonstrated that the so-obtained parameterized ISS inequality offers non-conservative analysis conditions, even when LFs and supply functions with a particular structure, such as quadratic forms, are considered. For bounded inputs, it is then shown how parameterized ISS inequalities can be used to synthesize a closed-loop system with an optimized envelope of trajectories. An implementation method based on receding horizon optimization is proposed, along with a recursive feasibility and complexity analysis. The advances provided by the proposed synthesis methodology are illustrated for a continuous stirred tank reactor.
Original languageEnglish
Title of host publicationPreprints of the 18th IFAC World Congress, August 28 - September 02, 2011, Milano, Italy
Pages172-178
DOIs
Publication statusPublished - 2011
Event18th World Congress of the International Federation of Automatic Control (IFAC 2011 World Congress) - Milano, Italy
Duration: 28 Aug 20112 Sep 2011
Conference number: 18
http://www.ifac2011.org/

Conference

Conference18th World Congress of the International Federation of Automatic Control (IFAC 2011 World Congress)
Abbreviated titleIFAC 2011
Country/TerritoryItaly
CityMilano
Period28/08/112/09/11
Internet address

Fingerprint

Dive into the research topics of 'On parameterized dissipation inequalities and receding horizon robust control'. Together they form a unique fingerprint.

Cite this