A. L. Tits, V. Balakrishnan, and L. Lee, "Robustness under Bounded Uncertainty with Phase Information," IEEE Transactions on Automatic Control,Vol. 44, No. 1, pp. 50-65, 1999. Home/Search Document Details and Download
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Robust Stability and Performance of Uncertain Delay Systems.. - Huang, Zhou (Correct)
....that the uncertainties are only norm bounded. However, in many applications, the uncertainties involved are constrained, for example, the uncertain parameters are nonnegativeorhave restricted phase angles. The structured singular value with phase information has been considered in a recent paper [19] where the block structured uncertainties are considered and a computable upper bound 1 This research was supported in part by grants from AFOSR (F49620 99 1 0179) ARO (DAAH04 96 1 0193) and LEQSF (DOD LEQSF(1996 99) 04) is derived. In this paper, we generalize the results in [19] to include ....
....recent paper [19] where the block structured uncertainties are considered and a computable upper bound 1 This research was supported in part by grants from AFOSR (F49620 99 1 0179) ARO (DAAH04 96 1 0193) and LEQSF (DOD LEQSF(1996 99) 04) is derived. In this paper, we generalize the results in [19] to include repeated scalar blocks. We then apply these generalized results to the stability and performance problem of uncertain delay systems [10, 11] The stability of uncertain delay systems has received much attention recently and many sufficient conditions have been derived, see e.g. 7, ....
[Article contains additional citation context not shown here]
A. L. Tits, V. Balakrishnan, and L. Lee, "Robustness under Bounded Uncertainty with Phase Information," IEEE Transactions on Automatic Control,Vol. 44, No. 1, pp. 50-65, 1999.
Uncertainty with Phase Information and the Stability of.. - Yun-Ping Huang And (2000) (Correct)
....that the uncertainties are only norm bounded. However, in many applications, the uncertainties involved are constrained, for example, the uncertain parameters are nonnegative or have restricted phase angles. The structured singular value with phase information has been considered in a recent paper [2] where the block structured uncertainties are considered and a computable upper bound is derived. In this paper, we generalize the results in [2] to include repeated scalar blocks. We then apply these generalized results to the stability problem of uncertain delay systems. The stability of ....
....parameters are nonnegative or have restricted phase angles. The structured singular value with phase information has been considered in a recent paper [2] where the block structured uncertainties are considered and a computable upper bound is derived. In this paper, we generalize the results in [2] to include repeated scalar blocks. We then apply these generalized results to the stability problem of uncertain delay systems. The stability of uncertain delay systems has received much attention recently and many su#cient conditions have been derived. Unfortunately, most of the existing ....
A. L. Tits, V. Balakrishnan, and L. Lee, "Robustness under Bounded Uncertainty with Phase Information," IEEE Transactions on Automatic Control, Vol. 44, No. 1, pp. 50-65, 1999. 3
Stability Multipliers and µ Upper Bounds: Connections and.. - Chou, Tits, al. (1998) Self-citation (Tits Balakrishnan) (Correct)
....the feasible solutions are themselves functions of a certain form. Therefore, the first step in our treatment is to establish a general interpolation style result for a class of parameterized (by frequency) family of complex LMIs (many frequency dependent conditions for stability and robustness [11, 15, 16, 17, 18, 19] belong to this class) This result is of independent interest. Thus, we show that the standard mixed upper bound condition in [11] is mathematically equivalent to the passivity multiplier based condition in [10, 12, 13, 14] Concurrently, we explicitly characterize the relationship between the ....
....simple form, given in (4) and in (5) This fact has important ramifications for the numerical verification of these robust stability conditions; we describe this briefly next. 4 State Space Verification of Frequency Domain Conditions Many frequency domain conditions for stability and robustness [11, 15, 16, 17, 18, 19] belong to the class of parameterized families of complex LMIs that were studied in Section 2. From the viewpoint of numerical optimization, these conditions amount to infinite dimensional convex feasibility problems, with the optimization variables being functions of frequency. There have been ....
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A. L. Tits, V. Balakrishnan, and L. Lee. Robustness under bounded uncertainty with phase information. IEEE Trans. Aut. Control, 43(11), 1998. to appear.
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