By Jing Zhou, Changyun Wen

ISBN-10: 3540778063

ISBN-13: 9783540778066

From the reviews:

"‘The publication is useful to profit and comprehend the basic backstepping schemes’. it may be used as an extra textbook on adaptive keep an eye on for complicated scholars. keep an eye on researchers, particularly these operating in adaptive nonlinear regulate, also will largely reap the benefits of this book." (Jacek Kabzinski, Mathematical stories, factor 2009 b)

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**Extra resources for Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities, interactions or time-variations**

**Sample text**

In [82], a ﬂat zone was used to handle the problem of nonlinear time invariant systems with unknown sign of high frequency gain in the presence of disturbances. The bound of the disturbance and all the unknown J. Zhou & C. Wen: Adapt. Backstepping Ctrl. of Uncertain Systems, LNCIS 372, pp. 33–50, 2008. com 34 Adaptive Control of Time-Varying Nonlinear Systems parameters need to be estimated at every step in the backstepping process. This results in the problem of overparametrization and makes the implementation complicated.

The disturbance rejection problem in this chapter is based on the internal model principle in Appendix D. 1. 7) Bp where π1 (d) is the ﬁrst r elements of π(d) and satisﬁes π1 (d) = 0 ∈ Rr . Proof. 7) follows from the fact that A is a shift matrix. Details are given in Appendix D and also in [91, 92, 93]. 9). The control objective is that the output y(t) can track a given bounded reference output yd (t) asymptotically and all closed-loop signals are bounded. Regarding the system and the reference signal, the following assumptions are made: Assumption 1.

DTv ]T ∈ Rn and di ∈ Rr , (i = 1, . . , v). 6) where S is an unknown n × n matrix having distinct eigenvalues with zero real parts. The disturbance rejection problem in this chapter is based on the internal model principle in Appendix D. 1. 7) Bp where π1 (d) is the ﬁrst r elements of π(d) and satisﬁes π1 (d) = 0 ∈ Rr . Proof. 7) follows from the fact that A is a shift matrix. Details are given in Appendix D and also in [91, 92, 93]. 9). The control objective is that the output y(t) can track a given bounded reference output yd (t) asymptotically and all closed-loop signals are bounded.

### Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities, interactions or time-variations by Jing Zhou, Changyun Wen

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