Robust pole placement direct adaptive control. (English) Zbl 0666.93084

Giri, F.; Dion, J. M.; Dugard, L.; M’Saad, M.

IEEE Trans. Autom. Control 34, No. 3, 356-359 (1989).

This note presents a pole placement direct adaptive control for not necessarily minimum phase plants, which is robust with respect to unmodeled dynamics and bounded disturbances. The robustness is achieved by using both a normalized least-squares algorithm with dead zone and an appropriate nonlinear feedback. The resulting closed-loop system is shown to be globally stable subject to standard assumptions.

MSC:

93C40	Adaptive control/observation systems
93B55	Pole and zero placement problems
93C55	Discrete-time control/observation systems
93C05	Linear systems in control theory
93B40	Computational methods in systems theory (MSC2010)
93B35	Sensitivity (robustness)

Keywords:

pole placement direct adaptive control; unmodeled dynamics; bounded disturbances; robustness; normalized least-squares algorithm; dead zone; nonlinear feedback