English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This article presents tools for the design of control laws inducing robustcontrolled forward invariance of a set for hybrid dynamical systems modeled ashybrid inclusions. A set has the robust controlled forward invariance propertyvia a control law if every solution to the closed-loop system that starts fromthe set stays within the set for all future time, regardless of the value ofthe disturbances. Building on the first part of this article, which focuses onanalysis (Chai and Sanfelice, 2019), in this article, sufficient conditions forgeneric sets to enjoy such a property are proposed. To construct invarianceinducing state-feedback laws, the notion of robust control Lyapunov functionfor forward invariance is defined. The proposed synthesis results rely onset-valued maps that include all admissible control inputs that keepclosed-loop solutions within the set of interest. Results guaranteeing theexistence of such state-feedback laws are also presented. Moreover, conditionsfor the design of continuous state-feedback laws with minimum point-wise normare provided. Major results are illustrated throughout this article in aconstrained bouncing ball system and a robotic manipulator application.

Forward Invariance of Sets for Hybrid Dynamical Systems (Part II)