Abstract
This chapter deals with the finite-time analysis and design problems for CT-LTV systems. Necessary and sufficient conditions for FTS are provided. One condition is based on the state transition matrix and is of poor usefulness in practice; the other conditions involve either DLMIs or DLEs. It is shown that the DLE-based condition is more efficient from the computational point of view; however, DLMIs are useful in the context of the design problem. Indeed, by the latter approach, we solve both the state and output feedback finite-time stabilization problems. The model of the car suspension system is used as a test case to show the effectiveness of the proposed techniques.
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Amato, F., Ambrosino, R., Ariola, M., Cosentino, C., De Tommasi, G. (2014). FTS Analysis of Continuous-Time Linear Systems. In: Finite-Time Stability and Control. Lecture Notes in Control and Information Sciences, vol 453. Springer, London. https://doi.org/10.1007/978-1-4471-5664-2_2
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DOI: https://doi.org/10.1007/978-1-4471-5664-2_2
Publisher Name: Springer, London
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