System Theory

Download Adaptive backstepping control of uncertain systems: by Jing Zhou, Changyun Wen PDF

Posted On April 11, 2017 at 3:01 pm by / Comments Off on Download Adaptive backstepping control of uncertain systems: by Jing Zhou, Changyun Wen PDF

By Jing Zhou, Changyun Wen

From the reviews:

"‘The ebook is useful to benefit and comprehend the basic backstepping schemes’. it may be used as an extra textbook on adaptive regulate for complex scholars. regulate researchers, in particular these operating in adaptive nonlinear keep an eye on, also will extensively take advantage of this book." (Jacek Kabzinski, Mathematical experiences, factor 2009 b)

Show description

Read Online or Download Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities, interactions or time-variations PDF

Similar system theory books

Nonparametric Methods in Change-Point Problems

The explosive improvement of data technology and expertise places in new difficulties related to statistical information research. those difficulties end result from better re­ quirements in regards to the reliability of statistical judgements, the accuracy of math­ ematical types and the standard of keep an eye on in advanced structures.

Irregularities and Prediction of Major Disasters (Systems Evaluation, Prediction and Decision-Making)

Even if scientists have successfully hired the strategies of chance to deal with the advanced challenge of prediction, sleek technological know-how nonetheless falls brief in developing real predictions with significant lead instances of zero-probability significant failures. the hot earthquakes in Haiti, Chile, and China are tragic reminders of the severe want for better tools of predicting natural failures.

Analysis and design of nonlinear control systems : in honor of Alberto Isidori

This ebook is a tribute to Prof. Alberto Isidori at the party of his sixty fifth birthday. Prof. Isidori’s proli? c, pioneering and high-impact learn task has spanned over 35 years. all through his profession, Prof. Isidori has built ground-breaking effects, has initiated researchdirections and has contributed towardsthe foundationofnonlinear controltheory.

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

Sample text

Kv−1 s+kv is a Hurwitz polynomial. 18) Preliminary Results 55 where ⊗ is the Kronecker product, and ei is the ith coordinate vector in Rv . We also denote vectors ξv (t), ξ(t), vj (t), as the outputs of the filters ξ˙v = A0 ξv + Ky ξ˙i = A0 ξi + Ev−i y i = 0, 1, . . 20) v˙ j = A0 vj + Ev−j u j = 0, 1, . . 21) T T T where ξv = [ξv,1 , . . , ξv,v ] . 23) j=0 ¯ i = diag[Bi , . . , Bi ] ∈ Rn×n . where A¯i = diag[Ai , . . 3. 25) exponentially. Proof. Based on the special structures of A¯i and A0 , we have A¯i A0 = A0 A¯i , (i = 0, 1, .

In a conclusion, we can find a subsequence that leads to a contradiction in both g(t) > 0 and g(t) < 0. Therefore, χ(t) has upper bound. Case 2): χ has no lower bound on [0, tf ]. Define χ = −w. Accordingly, w has no upper bound. 16) Thus, there must exist a monotone increasing variable {wi = w(ti )} with w0 = |w(t0 )| > 0, limi→∞ ti = tf , and limi→∞ wi = ∞. Following the procedure as in Case 1), we can also construct a subsequence that leads to a contradiction. Accordingly, we can claim that w has upper bound on [0, tf ).

20) State Estimation Filters ⎤ ⎡ φa1 0 ⎢ . ⎢ Φa (y) = ⎢ 0 .. ⎣ 0 0 ⎡ ⎤ ΦTa1 (y) ⎢ ⎥ ⎥ ⎢ . ⎥ ⎥ ⎥ == ⎢ .. ⎥ ⎣ ⎦ ⎦ . . φan ΦTan (y) ... . 39 0 .. θ = [bm (t), . . , b0 (t), θa1 (t), . . , θan (t)]T d(t) = [d1 (t), . . , dn (t)] ψ0 (y) = [ψ01 (y), . . 26) k = [k1 , k2 , . . 27) is chosen such that the matrix A0 is strictly stable. 19). We denote the first m + 1 columns of Ω T by vm , . . , v1 , v0 and the remaining n columns by Ξ as follows Ω T = [vm , . . 29) and show that the equations for the first n + 1 columns of Ω T are governed by v˙ j = A0 vj + en−j u, j = 0, .

Download PDF sample

Rated 4.00 of 5 – based on 35 votes