Optimal control of switched systems based on parameterization of the switching instants

By Xuping Xu, Panos J. Antsaklis. IEEE Transactions on Automatic Control, 2004

637 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/9eae480b375d1c2c05f26df475f8c11e44d2bf4e

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In Control and Systems Engineering

Citations in the corpus

Bang-bang control model for uncertain switched systems (2015, methodology): “By parameterizing the switching instants [12], the optimal switching times there can be obtained optimally by gradient-type of algorithms.”
Modelling and optimal control for a fed-batch fermentation process (2013, background): “Especially, optimal control of such switched system have been an active research area over the past decade, see, for example [22–25].”
On the Hybrid Optimal Control Problem: Theory and Algorithms (2007, methodology): “3) We observe that, as for HMPMAS, the recently proposed hybrid control algorithms of [39], [40], [5] repeatedly compute the optimal control functions in each location.”
Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process (2017, background): “By the way, optimal control of switched systems is an important and challenging research topic for applied mathematicians [21, 22, 23, 24].”
Analysis and synthesis of switched linear control systems (2005, methodology): “The reader is referred to Xu and Antsaklis (2002, 2004) for details in more general schemes.”
STABILIZATION OF SWITCHED SYSTEMS VIA OPTIMAL CONTROL (2005, background): “Other interesting approaches to the optimal control of switched systems have been proposed by Xu and Antsaklis [30], by Egerstedt, Wardi et al.”
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results (2009, background): “, and aim to design controllers with guaranteed stability and performance [5], [14], [43], [67], [84], [90].”
Stability and Stabilization of Continuous-Time Switched Linear Systems (2006, positive): “In some instances, our design procedure for the determination of the minimum dwell time, based on a quadratic guaranteed cost, is related to the results of [22] assuming further that the switching rule is not a priori given but can be taken arbitrarily, among the feasible ones; see [8].”
Stability and stabilization of discrete time switched systems (2006, background): “For discrete-time switched systems, see Daafouz and Bernussou ( 2001 ), Zhai ( 2001 ) and Xie and Wang ( 2003 ).”
Predictive Control for Linear and Hybrid Systems (2017, background): “For continuous-time hybrid systems, most authors either studied necessary conditions for a trajectory to be optimal [235, 271], or focused on the computation of optimal/suboptimal solutions by means of dynamic programming or the maximum principle [128, 245, 143, 144, 80, 292, 192, 261, 264, 266, 273”