Synthesis of Modal Control of Multidimensional Linear Systems in Agricultural Production Based on Linear Matrix Inequalities [Текст] / O. Lobok, B. Goncharenko, L. Vihrova, M. Sych
Material type:

The paper gives a solution to the problem of constructing modal regulators for linear multidimensional systemsin agricultural productionthat provide D-stability (asymptotic stability) of the control object. The control is represented as regulators providing feedback on the output of the control object, and uses the full and low order observers of Luenberger. To calculate the matrices of the regulators, we use the technique of linear matrix inequalities and generalize the Lyapunov stability concept (D-stability). The theorems are given which give necessary and sufficient conditions for D-stability of the controlled system. The constructive solution of the synthesis problem D-stabilizing (modal) regulators according to the measured output of the control object, based on the construction of observers of the state of the object of the complete and reduced order, is given.