%0 Journal Article %T State-feedback design for nonlinear saturating systems %+ Dynamical Interconnected Systems in COmplex Environments (DISCO) %+ Laboratoire des signaux et systèmes (L2S) %+ University of Oxford %A Valmorbida, Giorgio %A Papachristodoulou, Antonis %< avec comité de lecture %@ 0018-9286 %J IEEE Transactions on Automatic Control %I Institute of Electrical and Electronics Engineers %8 2021-07-26 %D 2021 %R 10.1109/TAC.2021.3099457 %Z Engineering Sciences [physics]/AutomaticJournal articles %X This paper presents strategies for state-feedback control law design of non-linear control laws with saturating inputs. The input constraints are handled by considering a generalized local sector inequality allowing the study of non-symmetric saturation bounds. A numerical formulation is presented for polynomial systems and is based on the solution of Lyapunov inequalities with sum-of-squares programming. %G English %2 https://hal.science/hal-03485430v1/document %2 https://hal.science/hal-03485430v1/file/synthesisDegree4.pdf %L hal-03485430 %U https://hal.science/hal-03485430 %~ CNRS %~ INRIA %~ INRIA-SACLAY %~ SUP_LSS %~ INRIA_TEST %~ SUP_SYSTEMES %~ TESTALAIN1 %~ CENTRALESUPELEC %~ INRIA2 %~ TDS-MACS %~ UNIV-PARIS-SACLAY %~ TEST-HALCNRS %~ UNIVERSITE-PARIS-SACLAY %~ ANR %~ GS-ENGINEERING %~ GS-COMPUTER-SCIENCE %~ GS-SPORT-HUMAN-MOVEMENT %~ DISCO-L2S %~ INRIAARTDOI %~ INRIA-ROYAUMEUNI