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Hybrid dynamical systems: robust control synthesis problems |
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| Authors: | Andrey V. Savkin Ian R. Petersen Efstratios Skafidas Robin J. Evans |
| Affiliation: | aDepartment of Electrical and Electronic Engineering and Cooperative Research Center for Sensor Signal and Information Processing, University of Melbourne, Parkville, Victoria 3052, Australia;bDepartment of Electrical Engineering, Australian Defence Force Academy, Campbell, 2600, Australia |
| Abstract: | The paper presents a new approach to robust control synthesis problems for hybrid dynamical systems. The hybrid system under consideration is a composite of a continuous plant and a discrete event controller. State and output feedback problems are considered. The main results are given in terms of the existence of suitable solutions to a dynamic programming equation and a Riccati differential equation of the H∞ filtering type. These results show a connection between the theories of hybrid dynamical systems and robust and nonlinear control. |
| Keywords: | Hybrid dynamical systems Controlled switching Robust nonlinear control |
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