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Robust state feedback control of LTV systems: nonlinear is better than linear

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2 Author(s)
F. Blanchini ; Dipt. di Matematica e Inf., Udine Univ., Italy ; A. Megretski

Examples of linear control systems with fast time-varying uncertain coefficients are given, which can be stabilized by a nonlinear memoryless state feedback, but cannot be stabilized by a linear time-invariant dynamic state feedback. By means of one of these examples the authors show that the closed loop quadratic stability margin may be infinitely smaller than the actual stability margin

Published in:

IEEE Transactions on Automatic Control  (Volume:44 ,  Issue: 4 )