This paper presents a transfer matrix framework approach to the now well‐known Riccati solution to the nonsingular H∞ control problem. The approach taken is a frequency‐domain one based on the concepts of coprime factorization and J‐lossless transfer matrices that lead to the development of relatively simple method for obtaining the state‐space solutions. Using two dual pairs of coupled coprime factorizations of certain chain scattering‐matrices which describe the problem, we derive an identity, analogous to the Bezout identity for all stabilizing controllers, to generate all proper real‐rational H∞ controllers. We also point out the connections between algebraic Riccati solutions and J‐lossless matrices.
|頁（從 - 到）||155-173|
|期刊||International Journal of Robust and Nonlinear Control|
|出版狀態||Published - 1995|
All Science Journal Classification (ASJC) codes
- 化學工程 (全部)