Abstract
Direct adaptive control covers schemes where the parameters of the controller are directly updated from a signal error (adaption error) reflecting the performance error. The chapter presents strategies for direct adaptive control in a deterministic and in a stochastic environment and the corresponding analysis. This includes adaptive tracking and regulation with independent objectives, adaptive minimum variance control and their extensions. Robustification of direct adaptive control schemes is also discussed.
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Notes
- 1.
The term \([\hat{\theta}_{C}(t)-\hat{\theta}_{C}(t+d+1)]^{T}\phi_{C}(t)\) is sometimes termed “auxiliary error” and ε(t+d+1) is sometimes termed “augmented error” in MRAC literature.
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Landau, I.D., Lozano, R., M’Saad, M., Karimi, A. (2011). Direct Adaptive Control. In: Adaptive Control. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-664-1_11
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