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DOI: 10.23952/cot.2024.35
Received October 18, 2023; Accepted January 2, 2024; Published online June 20, 2024
Abstract. Stabilization of systems with multiple uncertain parameters is a challenging problem, but when particular performance characteristics are desired at the same time, the design problem becomes even more complex. In this work, we propose a novel way to achieve stability and performance of linear systems by generalizing the classical D-decomposition method. We propose designing continuous-time and discrete-time controllers for simultaneous stability and dynamic performance using the same methodology. The examples show its applicability to practical problems and provide relatively easy ways to extend the methodology to new kinds of uncertain systems.
How to Cite this Article:
A. Nakhmani, H. Brinyark, A. Singh, I. J. Yoon, R. J. Smith, Stability and performance analysis of systems with parameter uncertainties using generalized D-decomposition method, Commun. Optim. Theory 2024 (2024) 35.