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A linear matrix inequality approach toH∞ control

A linear matrix inequality approach toH∞ control (Citations: 934)


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DOI: 10.1002/rnc.4590040403

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- ...1 in Gahinet and Apkarian (1994) and Lemma 3...
Xiwang Dong, et al. Practical consensus for high-order linear time-invariant swarm systems...
- ...3 (Projection lemma; Gahinet and Apkarian 1994)
  @@@@Given a symmetric matrix Ψ and two matrices Γ and Λ with appropriate dimensions...
Xiangyu Gao, et al. Non-fragile robust H∞ control for uncertain spacecraft rendezvous syst...
- ...see Gahinet and Apkarian 1994; Chilali and Gahinet 1996; Scherer, Gahinet, and Chilali 1997)...
Solmaz Sajjadi-Kia, et al. On bounded real matrix inequality dilation
- ...
  Lemma 1 (Gahinet and Apkarian <xref rid="CIT0006" ref-type="bibr">1994</xref>)
  @@@@ The system in (<0003" ref-type="disp-formula">3) is asymptotically stable and the H _∞ norm of its transfer function is less than a prescribed scalar γ > 0 if and only if there exists a matrix X > 0 such that
  ...
Zhiguang Feng, et al. Dissipative control for linear systems by static output feedback
- ...In order to transform the matrix inequality (<0026" ref-type="disp-formula">26) into an LMI, which can be solved in a computationally efficient manner using a convex optimisation technique such as the interior point method (Gahinet and Apkarian 1994; Scherer and Gahinet 1997), we can rewrite (<0026" ref-type="disp-formula">26) in the following form: with
  ...
Ali Sghaier Tlili, et al. Robust decentralised observer based guaranteed cost control for nonlin...

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Journal: International Journal of Systems Science - IJSySc , vol. 43, no. 9, pp. 1713-1727, 2012


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