Observer-based control MIMO linear systems with providing output in given set

The paper proposes a method for synthesizing the control of linear plants with a guarantee of finding the controlled variable in a given set under the condition that only the system output is measurable. In this work, the output feedback control is not used because of its complexity of synthesis, but the observer-based control using the Luenberger observer is used. A change of coordinates is applied to transfer the original problem with output constraints to a problem of control by an auxiliary variable without constraints. The controller’s adjustable parameter is selected from the solution of linear matrix inequalities, which enhances the practical applicability of the proposed method. Numerical simulations using Matlab confirm the effectiveness of the proposed method by demonstrating the boundedness of all signals in the control system and the presence of controlled signals within the given set.