A general approach for solving structurally constrained H∞ suboptimal control problems is proposed. The structurally constrained problems include static output feedback control, decentralized control, and fixed controllers for different operating conditions. The approach uses a dual design formulation based on an H∞ state-feedback controller parametrization result. The dual design condition is in the form of a biaffine matrix inequality (BMI). To solve for the control gains from the BMI, an iterative algorithm based on the linear matrix inequality (LMI) technique is developed. In this new approach, the control gains are independent of any Riccati equation solutions.
Tamkang Journal of Science and Engineering=淡江理工學刊 1(2), pp.133-143