Abstract
A new method for robust fixed-order \(H_{\infty }\) controller design for uncertain time-delay systems is presented. It is shown that the \(H_{\infty }\) robust performance condition can be represented by a set of convex constraints with respect to the parameters of a linearly parameterized primary controller in the Smith predictor structure. Therefore, the parameters of the primary controller can be obtained by convex optimization . The proposed method can be applied to stable SISO and MIMO models with uncertain dead-time and with multimodel and frequency-dependent uncertainty . It is also shown that how the design method can be extended to unstable SISO models. The design of robust gain-scheduled dead-time compensators is also investigated. The performance of the method is illustrated for both SISO and MIMO systems by simulation examples.
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de Oliveira, V., Nicoletti, A., Karimi, A. (2016). Robust Smith Predictor Design for Time-Delay Systems with \(H_{\infty }\) Performance. In: Witrant, E., Fridman, E., Sename, O., Dugard, L. (eds) Recent Results on Time-Delay Systems. Advances in Delays and Dynamics, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-26369-4_15
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DOI: https://doi.org/10.1007/978-3-319-26369-4_15
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