By Jing Zhou, Changyun Wen

ISBN-10: 3540778063

ISBN-13: 9783540778066

From the reviews:

"‘The publication is beneficial to benefit and comprehend the elemental backstepping schemes’. it may be used as an extra textbook on adaptive regulate for complicated scholars. keep watch over researchers, specially these operating in adaptive nonlinear regulate, also will broadly make the most of this book." (Jacek Kabzinski, Mathematical experiences, factor 2009 b)

Show description

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

Best system theory books

Read e-book online Cooperative Control Design: A Systematic, Passivity-Based PDF

Cooperative keep an eye on layout: a scientific, Passivity-Based procedure discusses multi-agent coordination difficulties, together with formation keep an eye on, perspective coordination, and contract. The ebook introduces passivity as a layout device for multi-agent platforms, presents exemplary paintings utilizing this tool,and illustrates its benefits in designing strong cooperative keep an eye on algorithms.

Read e-book online Stochastic Differential Equations: An Introduction with PDF

From the reports to the 1st variation: many of the literature approximately stochastic differential equations turns out to put lots emphasis on rigor and completeness that it scares the nonexperts away. those notes are an try to procedure the topic from the nonexpert perspective. : no longer understanding whatever .

Download e-book for iPad: Ordinary Differential Equations: Analysis, Qualitative by Hartmut Logemann

The e-book contains a rigorous and self-contained therapy of initial-value difficulties for traditional differential equations. It also develops the fundamentals of regulate idea, that's a distinct function in present textbook literature. the next issues are rather emphasised:• lifestyles, distinctiveness and continuation of solutions,• non-stop dependence on preliminary data,• flows,• qualitative behaviour of solutions,• restrict sets,• balance theory,• invariance principles,• introductory regulate theory,• suggestions and stabilization.

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

Example text

44) T ω = [vm,2 , vm−1,2 , . . , v0,2 , Ξ2 + Ψa1 ] ω ¯ = [0, vm−1,2 , . . 1) is restricted to the first ρ equations. 37), the design system is ¯T θ + y˙ = bm vm,2 + β + ω 2 + d(t)Φa1 (y) v˙ m,i = vm,i+1 − ki vm,1 , i = 2, 3, . . 50) ˙ = A0 + Φa (y)d(t)T − Ω T θ˙ Remark 1. 50), their effects should be considered in controller design. However for the state-feedback control in [83], no filter is required for state estimation. Their effects may not be necessarily considered in controller design and this makes problem much simpler.

As projection operation is used, the design of tuning functions are different from existing schemes. With our proposed controller, system stability can be ensured. 1 Problem Formulation Consider the following class of single-input-single-output (SISO) nonlinear timevarying systems in the feedback form x˙ 1 = x2 + θa1 (t)ψa1 (y) + d1 (t)φa1 (y) + ψ01 (y) .. x˙ ρ−1 = xρ + θaρ−1 (t)ψaρ−1 (y) + dρ−1 (t)φaρ−1 (y) + ψ0ρ−1 (y) x˙ ρ = xρ+1 + θaρ (t)ψaρ (y) + dρ (t)φaρ (y) + ψ0ρ (y) + bm (t)u .. 1) y = eT1 x where x = [x1 ,· · · , xn ]T ∈ Rn , u ∈ R and y ∈ R are system states, input and output, respectively, bj (t), j = 0, .

Gr }. Proof. 43), it can be shown that ⎡ ⎤ ⎡ ⎤ F1 e1 G1 2,1 ⎢ ⎥ ⎢ ⎥ ⎢ . ⎥ ⎢ . ⎥ e˙ = ⎢ .. ⎥ − ⎢ .. ⎥ ⎣ ⎦ ⎣ ⎦ Fr er Gr 2,r With the auxiliary error e, we can express q2 as ⎡ ⎤ ψ1T η1 ⎥ ⎢ ⎢ . ⎥ q2 = ⎢ ..

Download PDF sample

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


by Ronald
4.1

Rated 4.17 of 5 – based on 20 votes