Abstract
We introduce a new controller design condition formulated in terms of linear matrix inequalities, ensuring the local input-to-state stabilization of discrete-time systems under magnitude and rate saturating actuators. Such a contribution plays a relevant role in practical applications by relaxing design conditions to couple with input-to-state stability and, thus, allowing the Lyapunov function to increase whenever the process is affected by energy-bounded exogenous signals. Moreover, such a controller design requires a local stability approach due to the nonlinear effects of magnitude and rate saturating actuators. An example illustrates the application of the proposed techniques and suggest exploring the convexity of the formulation to handle more general systems such as uncertain and time-varying ones.
Authors thanks the partial support from CEFET-MG and Brazilian Agencies CAPES and CNPq (311208/2019-3).
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Oliveira, L.A.L., Leite, V.J.S., Silva, L.F.P. (2022). Regional Input-To-State Stabilization of Discrete-Time Systems Under Saturating Actuators. In: Brito Palma, L., Neves-Silva, R., Gomes, L. (eds) CONTROLO 2022. CONTROLO 2022. Lecture Notes in Electrical Engineering, vol 930. Springer, Cham. https://doi.org/10.1007/978-3-031-10047-5_17
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