Virginia TechBall, Joseph A.Chudoung, Jerawan A.Day, Martin V.2014-05-282014-05-282002-09Ball, J. A.; Chudoung, J. A.; Day, M. V., "Robust optimal switching control for nonlinear systems," SIAM J. Control Optim., 41(3), 900-931, (2002). DOI: 10.1137/s03630129003726110363-0129http://hdl.handle.net/10919/48135We formulate a robust optimal control problem for a general nonlinear system with finitely many admissible control settings and with costs assigned to switching of controls. e formulate the problem both in an L-2-gain/dissipative system framework and in a game-theoretic framework. We show that, under appropriate assumptions, a continuous switching-storage function is characterized as a viscosity supersolution of the appropriate system of quasi-variational inequalities (the appropriate generalization of the Hamilton-Jacobi-Bellman Isaacs equation for this context) and that the minimal such switching-storage function is equal to the continuous switching lower-value function for the game. Finally, we show how a prototypical example with one-dimensional state space can be solved by a direct geometric construction.application/pdfenIn Copyrightrunning costswitching costworst-case disturbance attenuationdifferential gamestate-feedback controlnonanticipating strategystorage functionlower-value functionsystem of quasi-variationalinequalitiesviscosity solutionh-infinity controlviscosity solutionsdifferential-gamesstrategiesequationsautomation & control systemsmathematics, appliedArticle - Refereedhttp://epubs.siam.org/doi/abs/10.1137/S0363012900372611https://doi.org/10.1137/s0363012900372611