Dear All.
I am interested to receive the opinions on the closed loop balancing technique which is used to reduce the number of states of a control system. What advantages or disadvantages has one by balancing the the Riccati equation solutions of observer and control riccati equations ? When is balancing and model order reduction prohibitive ? The filtering algebraic riccati equation (FARE) is balanced against the control ARE (CARE) exclusively in literature. Are there other applications than only balancing the FARE and CARE solutions when doing LQG based balancing? What is the use of stochastic balancing ?
Dear Kerim,
It seems to me that this issue needs to be dealt with on a case-by-case basis depending on the complexity of the system and the degree of quality of the control desired. So please look at attached publication in topics.
Best regards
Conference Paper Frequency weighted balanced reduction technique: a generaliz...
Article On the numerical solution of algebraic matrix Riccati equations /
Conference Paper Generalized frequency weighted balanced reduction
Article Numerical solution of the continuous and discrete-time algeb...
Article Review and classification of recent observers applied in che...
Article LQR and MPC controller design and comparison for a stationar...
Chapter Advanced Topics in Model Reduction
Article Singular perturbations and time scales in control theory and...
Dear Mohammed, some of the literature I was not aware, I will take a look at it.
Thanks
I believe that you need to use balanced model order reduction. After balancing, remove relatively small Hankle singular values and truncate the system matrices.
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