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ArtikelPareto Optimal Strategy of Linear Multiparameter Singularly Perturbed Systems  
Oleh: Mukaidani, H.
Jenis: Article from Article
Dalam koleksi: Final Program and Book of Abstracts: The 4th Asian Control Conference, September 25-27, 2002 (Sep. 2002), page 886-891.
Topik: Linear Multiparameter; Sirgularly Pertubed System; MSPS
Fulltext: AC021103.PDF (135.79KB)
Isi artikelIn this paper we study the Pareto optimal strategy for multiparameter singularly perturbed systems (MSPS). The attention is focused on the design of a high–order near–optimal strategy. In order to obtain the solution, we must solve the multiparameter algebraic Riccati equation (MARE). The main results in this paper are to propose a new algorithm for solving the MARE and to find sufficient conditions regarding the convergence of our proposed algorithm. Using the new algorithm, it is show that the solution of the MARE converges to a positive semi–definite stabilizing solution with the rate of convergence of O(||µ||2i). Furthermore, it is also shown that the resulting controller achieves O(||µ||2i) approximation of the optimal cost.
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