An \(L\)-lossless factorization approach to the positive real control problem (Q1916957)

The paper deals with a positive real (PR) control problem for a generalized plant used in \(H_\infty\) control theory. Using the \(L\)-lossless factorization concept, the authors propose an approach to the problem of making the closed-loop transfer function matrices positive real by output feedback. An \(L\)-lossless system in this paper is the representation as a chain-scattering matrix of a lossless positive real system. A generalized method of \(L\)-lossless factorization is also presented and the solution to the problem is reduced to solving 2-Riccati equations in the state space.