How can we efficiently handle uncertainties, perturbations on the control signal, control constraints and state delays? UC3M Aerospace Engineering PhD student Fateme Baneshi together with Valiollah Ghaffari and Manuel Soler answer this question in the research article “Non-fragile robust model predictive controller design for uncertain time-delay systems with input constraints”.
This paper addresses a non-fragile robust model predictive control design for a class of continuous time uncertain systems with multiple state-delay and constrained control signals. The parameters of the system and the control gain are assumed to have perturbation in the additive form. The Lyapunov–Krasovskii functional approach is employed to derive sufficient conditions for determining a non-fragile robust state-feedback controller for all admissible uncertainties by minimising the upper bound of the defined quadratic cost function with respect to some linear matrix inequalities (LMIs). An additional inequality condition is imposed to address the constraint associated with the control signals. Numerical simulations are provided to assess the performance of the proposed controller.
Non-fragile robust model predictive controller design for uncertain time-delay systems with input constraints. Fateme Baneshi, Valiollah Ghaffari & Manuel Soler (2023). International Journal of Systems Science, DOI: 10.1080/00207721.2023.2169060