Abstract
This chapter presents an LMI-based method for design of control systems in accordance with the principle of matching and the principle of inequalities. The inputs are assumed to be persistent and/or transient. From the exponential convergence conditions of the unit impulse and the unit step responses, matrix inequalities are derived as a sufficient condition for ensuring that the system is matched to the environment. By changing the variables, these matrix inequalities are transformed into the set of LMIs and BMIs. Since the BMI can be viewed as an LMI by fixing a single variable, the problem amounts to a convex admissibility problem with a line search over (0, ∞). The advantages and drawbacks of this method are examined with an example of multiobjective critical control system design.
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© 2005 Springer-Verlag London Limited
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Ono, T. (2005). LMI-based Design. In: Zakian, V. (eds) Control Systems Design. Springer, London. https://doi.org/10.1007/1-84628-215-2_4
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DOI: https://doi.org/10.1007/1-84628-215-2_4
Publisher Name: Springer, London
Print ISBN: 978-1-85233-913-5
Online ISBN: 978-1-84628-215-7
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