Controllability minimum principle based construction of the null controllable region for nonlinear systems

The present manuscript addresses the problem of designing a procedure for constructing the null controllable Region (the set of states from where stabilization is achievable subject to constraints). To this end, a controllability minimum principle based computationally tractable approach for constru...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 31; no. 12; pp. 6025 - 6038
Main Authors Mahmood, Maaz, Homer, Tyler, Mhaskar, Prashant
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.08.2021
Subjects
constrained control Lyapunov function
Controllability
input constraints
Nonlinear systems
null controllable region
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ISSN1049-8923
1099-1239
DOI10.1002/rnc.5580

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Summary:The present manuscript addresses the problem of designing a procedure for constructing the null controllable Region (the set of states from where stabilization is achievable subject to constraints). To this end, a controllability minimum principle based computationally tractable approach for constructing the null controllable region is presented. Simulation results are used to illustrate the computation of the NCR for several examples.
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.5580