Controller Design for Constrained Discrete-Time Uncertain Linear Systems Using Implicit Functions

Controller Design for Constrained Discrete-Time Uncertain Linear Systems Using Implicit Functions. Muñoz-Carpintero, D. A. & Valmorbida, G. IEEE Control Systems Letters, 8:1985–1990, 2024.

Paper doi abstract bibtex

This manuscript shows a controller design procedure for constrained discrete-time uncertain linear systems, where the control law and piece-wise functions implicitly defined by ramps give the associated invariant set and Lyapunov function. This structure enables non-symmetric invariant sets of larger sizes than other structures, yielding symmetric invariant sets. The procedure is iterative, and each iteration solves a semidefinite program. A simulation example illustrates the attributes of the proposed design procedure.

@article{munoz-carpintero_controller_2024,
	title = {Controller {Design} for {Constrained} {Discrete}-{Time} {Uncertain} {Linear} {Systems} {Using} {Implicit} {Functions}},
	volume = {8},
	copyright = {https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html},
	issn = {2475-1456},
	url = {https://ieeexplore.ieee.org/document/10564004/},
	doi = {10.1109/LCSYS.2024.3416475},
	abstract = {This manuscript shows a controller design procedure for constrained discrete-time uncertain linear systems, where the control law and piece-wise functions implicitly defined by ramps give the associated invariant set and Lyapunov function. This structure enables non-symmetric invariant sets of larger sizes than other structures, yielding symmetric invariant sets. The procedure is iterative, and each iteration solves a semidefinite program. A simulation example illustrates the attributes of the proposed design procedure.},
	language = {en},
	urldate = {2024-12-18},
	journal = {IEEE Control Systems Letters},
	author = {Muñoz-Carpintero, Diego A. and Valmorbida, Giorgio},
	year = {2024},
	pages = {1985--1990},
}

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