Abstract
One of the fundamental problems in feedback control design is the ability of the control system to maintain stability and performance in the face of system uncertainties. To this end, elegant multivariable robust control design frameworks such as ℋ ∞ control, ℑ control, and μ synthesis have been developed to address the robust stability and performance control problem. An implicit assumption inherent in these design frameworks is that the controller will be implemented exactly. In a recent paper by Keel and Bhattacharyya, it was shown that even though such frameworks are robust with respect to system uncertainty, they are extremely fragile with respect to errors in the controller coefficients. In this chapter, we extend the robust fixed-structure controller synthesis approach to develop controllers which are robust to system uncertainties and non-fragile or resilient to controller gain variations.
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Haddad, W.M., Corrado, J.R. (2001). Robust Resilient Controller Design. In: Istepanian, R.S.H., Whidborne, J.F. (eds) Digital Controller Implementation and Fragility. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-0265-6_11
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DOI: https://doi.org/10.1007/978-1-4471-0265-6_11
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