Abstract
An overview is presented of control design methods for linear time-delay systems, which are grounded in numerical linear algebra techniques such as large-scale eigenvalue computations, solving Lyapunov equations and eigenvalue optimization. The methods are particularly suitable for the design of controllers with a prescribed structure or order. The analysis problems concern the computation of stability determining characteristic roots and the computation of \(\mathcal{H}_2\) and \(\mathcal{H}_{\infty}\) type cost functions. The corresponding synthesis problems are solved by a direct optimization of stability, robustness and performance measures as a function of the controller parameters.
Keywords
- Delay Differential Equation
- Characteristic Root
- Synthesis Problem
- Nonlinear Eigenvalue Problem
- Wolfe Line Search
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Michiels, W. (2012). Design of Fixed-Order Stabilizing and \(\mathcal{H}_2\) - \(\mathcal{H}_\infty\) Optimal Controllers: An Eigenvalue Optimization Approach. In: Sipahi, R., Vyhlídal, T., Niculescu, SI., Pepe, P. (eds) Time Delay Systems: Methods, Applications and New Trends. Lecture Notes in Control and Information Sciences, vol 423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25221-1_15
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DOI: https://doi.org/10.1007/978-3-642-25221-1_15
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