H. Bouguerra - IEEE Xplore Author Profile

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An H∞ mixed sensitivity problem is formulated for the control of uncertain large flexible structures. The plant model is based on the driving point mobility (inverse of the mechanical impedance) for the structure at the junction where the collocated dual actuators and sensors meet the structure. One way to obtain an expression for the point mobility for the structure is by analyzing the wave mode ...Show More
The state-space H/sup 2//H/sup infinity / theory is employed to develop a design procedure that addresses the performance-robustness problem. A numerical example is used to illustrate both the advantages and limitations of the procedure and how it compares to linear-quadratic-Gaussian loop transfer recovery (LQG/LTR). A less rigorous procedure that compares favorably to the LQG/LTR is also constru...Show More
A fast algorithm is proposed for checking the stability of the edges of a polytope where most of the computations involved depend on the number of vertices rather than on the number of edges. This algorithm is based on the segment lemma derived by H. Chapellat et al. (1988). Although the segment lemma is an important result on its own, no explicit algorithm was given there. Some important properti...
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The approach to the stability of uncertain plants by means of polytopic polynomials often leads to a combinatorial explosion of the number of edges of a polytope whose stability has to be checked. To reduce the computational burden of this combinatorial explosion to a minimum a fast algorithm for checking the stability of the edges of a polytope is proposed. The major computation involved is the s...
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