New methods for mode-independent robust control of Markov jump linear systems

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• 作者：Marcos G. Todorov ^{todorov@lncc.br" class="auth_mail" title="E-mail the corresponding author} ; Marcelo D. Fragoso ; ^{frag@lncc.br" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Robust control ; Markov chain ; Partial observations
• 刊名：Systems & Control Letters
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：90
• 期：Complete
• 页码：38-44
• 全文大小：416 K

文摘

This paper treats the 16000165&_mathId=si1.gif&_user=111111111&_pii=S0167691116000165&_rdoc=1&_issn=01676911&md5=d8102fff05d5d2c64ffd1016d745054e" title="Click to view the MathML source">H₂$H_2$ and 16000165&_mathId=si2.gif&_user=111111111&_pii=S0167691116000165&_rdoc=1&_issn=01676911&md5=95ae1b478006c3ed82cd5130b8b402b8" title="Click to view the MathML source">H_∞$H_{\infty }$ controls of linear systems with Markov jump disturbances, via new design methods based on linear matrix inequalities (LMIs). The proposed techniques are especially tailored to the scenario where the jump process cannot be measured, and apply to homogeneous Markov chains of any structure. In the scenario of polytopic uncertainty affecting the system matrices, new uncertainty-dependent methods are introduced for the design of robust controllers. Several numerical examples illustrate situations where the proposed techniques are less conservative than the ones found in the literature.