Abstract: This paper provides an idea, resulting from linear matrix inequality representation of parameter constraints of discrete-time linear positive systems, to formulate state-feedback synthesis for this class of systems. The design conditions are imposed to obtain control respecting existing strictly positivity or non-negativity in the system matrix description. Formulated as a linear matrix inequality feasibility problem it is reiterated that approach leads iteratively to estimation of norms of closed-loop system.
Dušan Krokavec, Anna Filasová, ""Mixed H2/H1 Control Synthesis for Discrete-time Linear Positive Systems using Enhanced Set of Linear Matrix Inequalities"," WSEAS Transactions on Systems and Control, vol. 15, pp. 270-281, 2020, DOI:10.37394/23203.2020.15.28
Dušan Krokavec, Anna Filasová. "Mixed H2/H1 Control Synthesis for Discrete-time Linear Positive Systems using Enhanced Set of Linear Matrix Inequalities".
WSEAS Transactions on Systems and Control. 2020;15:270-281. 10.37394/23203.2020.15.28