On The Computation Of The Optimal H-Infinity Norm For Discrete-Time Feedback Control Problems

• Main Authors: Lee, Tsung-Lin, 李宗錂
• Other Authors: Lin, Wen-Wei
• Format: Others
• Language: en_US
• Published: 1998
• Online Access: http://ndltd.ncl.edu.tw/handle/64126351013645170149

碩士 === 國立清華大學 === 數學研究所 === 86 === 　　The numerical computation of the optimal H∞ norms of the discrete-time state feedback and the discrete-time output feedback control problem is considered. A standard H∞ control problem: for a given γ> 0, to find all controllers such that the H∞ norm of the closed-loop transfer matrix is less than γ. In 1991, Iglesias and Glover derived the state-space soliutions to a discrete-time H∞ problem. The approach taken is based on the solution of two parametrized, with parameter γ, algebraic Riccati equations using the stable deflating subspace of a parametrized symplectic pencil. We explore numerical methods to find the infimum of parameter γ that solves the state feedback case first, then extend the technique to the general output feedback problem.