Guaranteed phase margin performance in closed-loop control of linear irrational systems

Recently stability of linear irrational systems has been formulated as a constraint satisfaction problem in (Malti, Rapai ' c & Turkulov, 2023) and a guaranteed solution has been obtained using algorithms from interval arithmetics. This paper extends the aforementioned result to compute controller parameters of irrational systems with prescribed phase margins (based on interval arithmetics) which is the main contribution of the paper. It is applied to control temperature of a one-dimensional heat diffusion equation at a given distance subject to a heating thermal flux applied to its boundary. Copyright (c) 2023 The Authors.