Abstract
This paper is concerned with feedback stabilization of linear delay systems of neutral type. When the unstable characteristic roots of the systems are far from the imaginary axis, the discretization of unstable differential equations results in a large error. In this case, it is difficult to seek stabilizing control laws via a direct extension of the algorithm provided in the literature. In order to remedy the difficulty, a modified state equation is constructed through a shifting parameter such that it is asymptotically stable. Then, basing on the modified state equation, we present some numerical algorithms to design the stabilizing controller and the observer of the neutral systems, respectively. Furthermore, we derive a separation property for the observer-based stabilizing controller of the neutral systems which extends the result in the literature.
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The author was supported by the National Natural Science Foundation of China (11871330).
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Hu, G.D. An Observer-Based Stabilizing Controller for Linear Neutral Delay Systems. Sib Math J 63, 789–800 (2022). https://doi.org/10.1134/S003744662204019X
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DOI: https://doi.org/10.1134/S003744662204019X
Keywords
- linear neutral delay systems
- modified state equation
- numerical optimization
- observer-based controller
- separation property