@article {Garcia:Tarbouriech:GomesdaSilva:Eckhard:2009,
	title = {Finite {L2} gain and internal stabilisation of linear systems subject to actuator and sensor saturations},
	journal = {IET Control Theory Applications},
	volume = {3},
	number = {7},
	year = {2009},
	note = {n/a},
	pages = {799{\textendash}812},
	abstract = {<p>This study addresses the control of linear systems subject to both sensor and actuator saturations and additive L2-bounded disturbances. Supposing that only the output of the linear plant is measurable, the synthesis of stabilising output feedback dynamic controllers, allowing to ensure the internal closed-loop stability and the finite L2-gain stabilisation, is considered. In this case, it is shown that the closed-loop system presents a nested saturation term. Therefore, based on the use of some modified sector conditions and appropriate variable changes, synthesis conditions in a quasi-linear matrix inequality (LMI) form are stated in both regional (local) as well as global stability contexts. Different LMI-based optimisation problems for computing a controller in order to maximise the disturbance tolerance, the disturbance rejection or the region of stability of the closed-loop system are proposed.</p>
},
	issn = {1751{\textendash}8644},
	doi = {10.1049/iet-cta.2008.0221},
	author = {G. Garcia and S. Tarbouriech and J. M. {Gomes da Silva Jr.} and D. Eckhard}
}
