Submitted

@unpublished{KariTren25pp,

title = {Funnel-based output tracking control for nonlinear impulsive switched systems},

author = {Atiyeh Karimi-Pour and Stephan Trenn and Moosa Ayati and Mohammad Reza Zakerzadeh},

url = {https://stephantrenn.net/wp-content/uploads/2025/09/Preprint-KTAZ250916.pdf, Preprint},

year  = {2025},

date = {2025-09-16},

urldate = {2025-09-16},

abstract = {We study output tracking for nonlinear impulsive switched systems with global relative degree one under prescribed performance requirements. Classical funnel control is not directly applicable in this setting, since output jumps can cause violations of funnel constraints. To address this, we design an adjusted funnel boundary that contracts prior to jumps and expands afterward, computed offline based on the stability of the internal dynamics and bounded jump maps. We also derive sufficient conditions ensuring bounded control input. To obtain tighter bounds, practical ISS is employed in place of BIBO stability, yielding smaller input requirements. Additional refinements include asymmetric jump bounds, level-set adjustments, and real-time funnel adaptation, which further improve performance. Numerical examples confirm stability and practical tracking under disturbance impulses and switching.},

note = {submitted for publication},

keywords = {},

pubstate = {published},

tppubtype = {unpublished}

}

@unpublished{WijnTren24pp,

title = {Impulse-free linear quadratic optimal control of switched differential algebraic equations},

author = {Paul Wijnbergen and Stephan Trenn},

url = {https://stephantrenn.net/wp-content/uploads/2024/07/Preprint-WT240512.pdf, Preprint},

year  = {2024},

date = {2024-05-12},

urldate = {2024-05-12},

abstract = {In this paper the finite horizon linear quadratic regulator (LQR) problem for switched linear differential algebraic equations is studied. It is shown that for switched DAEs with a switching signal that induces locally finitely many switches, the problem can be solved by recursively solving several LQR problems for non-switched DAE. First, it is shown how to solve the non-switched problems for index-1 DAEs followed by an extension of the results to higher index DAEs. The resulting optimal control can be computed based on the solution of a Riccati differential equation expressed in terms of the differential system matrices. The paper concludes with the extension of the results to the LQR problem for general switched DAEs.},

note = {provisionally accepted in "Communications in Optimization Theory"},

keywords = {},

pubstate = {published},

tppubtype = {unpublished}

}