Optimal Control of Hybrid Systems with Regional Dynamics
A Hybrid Bellman Approach with Applications to Multi-Agent Systems
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Recently, hybrid control has become increasinglyrelevant thanks to modern application domainsinvolving complex systems, sub-systeminterconnections, mode-transitions, and heterogeneouscomputational devices. Hybrid models, in whichcontinuous and discrete dynamics interact, haveproved useful for capturing these types of phenomena.In this book, we consider hybrid systems withregional dynamics where transitions between differentregimes occur as the state of the system crossesgiven switching surfaces. In particular, we focus onthe associated optimal control problem and present ahybrid Bellman equati...
Recently, hybrid control has become increasingly
relevant thanks to modern application domains
involving complex systems, sub-system
interconnections, mode-transitions, and heterogeneous
computational devices. Hybrid models, in which
continuous and discrete dynamics interact, have
proved useful for capturing these types of phenomena.
In this book, we consider hybrid systems with
regional dynamics where transitions between different
regimes occur as the state of the system crosses
given switching surfaces. In particular, we focus on
the associated optimal control problem and present a
hybrid Bellman equation that provides a
characterization of global optimality. The main
benefit of the proposed approach lies in the fact
that it presents both a theoretical representation of
the solution''s structure, and, from a more
application-driven point of view, a practical
algorithm that yields globally optimal solutions in a
regional dynamics framework. The recursive algorithm
is explored through numerous examples including a
heterogeneous multi-agent problem. The results should
be of interest to anyone working in: computer
science, control theory, system dynamics, and
operations research.
relevant thanks to modern application domains
involving complex systems, sub-system
interconnections, mode-transitions, and heterogeneous
computational devices. Hybrid models, in which
continuous and discrete dynamics interact, have
proved useful for capturing these types of phenomena.
In this book, we consider hybrid systems with
regional dynamics where transitions between different
regimes occur as the state of the system crosses
given switching surfaces. In particular, we focus on
the associated optimal control problem and present a
hybrid Bellman equation that provides a
characterization of global optimality. The main
benefit of the proposed approach lies in the fact
that it presents both a theoretical representation of
the solution''s structure, and, from a more
application-driven point of view, a practical
algorithm that yields globally optimal solutions in a
regional dynamics framework. The recursive algorithm
is explored through numerous examples including a
heterogeneous multi-agent problem. The results should
be of interest to anyone working in: computer
science, control theory, system dynamics, and
operations research.
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