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

By Jing Zhou, Changyun Wen

From the reviews:

"‘The booklet is beneficial to benefit and comprehend the elemental 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 watch over, also will commonly reap the benefits 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

The Science of Consciousness

Psychology scholars are enthusiastic about cognizance yet usually locate the subject confusing. this is often most likely simply because there are alternative ways in the self-discipline to technique it. within the technological know-how of recognition, most sensible researchers from all of the 3 major components of analysis introduce their perspective and lead the scholar during the easy debates and examine thus far, finishing with feedback for extra interpreting.

Systems Biomedicine: Concepts and Perspectives

Structures biology is a serious rising box that seeks to outline the interactions of all organic parts by means of interpreting underlying biochemical and genetic approaches. it's a self-discipline that quantifies and annotates the complexity of organic platforms in an effort to build algorithmic versions to foretell results from part enter.

Health monitoring of structural materials and components : methods with applications

The 1st whole creation to wellbeing and fitness tracking, encapsulating either technical info and functional case reports spanning the breadth of the topic. Written through a highly-respected determine in structural overall healthiness tracking, this e-book offers readers with the technical talents and sensible figuring out required to resolve new difficulties encountered within the rising box of well-being tracking.

The Economy as Cultural System: Theory, Capitalism, Crisis

Students study many of the basics of what makes “the economic climate” paintings via exploring the metaphors of and resistances to capitalism this day.

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

Example text

A (y) = ⎢ 0 .. . .. ⎥ = ⎢ .. ⎥ ⎦ ⎣ ⎦ ⎣ T 0 0 . . 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 , .

T 0 0 . . 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 , . .

0 ⎥ ⎢ .. ⎥ ⎢ .. ⎥ ⎢ ⎥ ⎥ ⎢ ⎢ . ⎥ . ⎥ .. .. . ⎥ ⎢ ⎥ Ag = ⎢ , Bp = ⎢ . ⎥ , Bg = ⎢ . . ⎥ ⎥ ⎢ ⎢ ⎢ ⎥ ⎢ 0 ⎥ ⎢ B1 ⎥ ⎢ ⎥ ⎦ ⎦ ⎣ ⎣ ⎢ −A1 0 0 . . Ir ⎥ ⎣ ⎦ B0 Bp −A0 0 0 . . 0 Cg = [Ir 0 . . 4) where v is the observability index of G(p), rv = n, Ir is the r × r identity matrix, and Ai ∈ Rr×r , i = 0, . . , v − 1, and Bj ∈ Rr×r , j = 0, . . , m, m ≤ v − 1 are matrices. 5) Bp y = Cg x where x ∈ Rn is the system state, A ∈ Rn×n is the matrix Ag with the first r columns equal to zero, Ap ∈ Rn×r are the first r columns of Ag and BP Problem Formulation 53 ¯ ∈ R(m+1)r×r , d(t) = [0 Bp ]T d(t) = [dT1 , .

Download PDF sample

Rated 4.92 of 5 – based on 23 votes