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 elemental backstepping schemes’. it may be used as an extra textbook on adaptive regulate for complex scholars. keep an eye on researchers, specifically 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 or Download Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities, interactions or time-variations PDF

Similar system theory books

Jerrold E Marsden Tudor Ratiu Ralph Abraham Manifolds Tensor Analysis and Applications

The aim of this publication is to supply center fabric in nonlinear research for mathematicians, physicists, engineers, and mathematical biologists. the most target is to supply a operating wisdom of manifolds, dynamical platforms, tensors, and differential types. a few purposes to Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and keep an eye on idea are given utilizing either invariant and index notation.

Optimization. Foundations and applications

A radical and hugely obtainable source for analysts in a wide diversity of social sciences. Optimization: Foundations and functions provides a chain of methods to the demanding situations confronted through analysts who needs to locate how one can accomplish specific ambitions, often with the additional difficulty of constraints at the on hand offerings.

General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions

The classical Pontryagin greatest precept (addressed to deterministic finite dimensional keep an eye on platforms) is among the 3 milestones in sleek keep an eye on thought. The corresponding conception is by means of now well-developed within the deterministic endless dimensional surroundings and for the stochastic differential equations.

Automated transit systems: planning, operation, and applications

A finished dialogue of automatic transit This ebook analyzes the profitable implementations of automatic transit in a variety of countries, comparable to Paris, Toronto, London, and Kuala Lumpur, and investigates the plain loss of computerized transit functions within the city surroundings within the usa.

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

Sample text

116) where ˆ is an estimate of = 1/bm and αi−1 is the virtual control at each step and will be determined in later discussions. 120) ˆ is the estimate of Θ. 121) ˜ = Θ − Θ. 124) where Γ is a positive definite design matrix, γ is a positive design parameter, and P is a definite positive matrix such that P A0 + AT0 P = −I, P = P T > 0. 127) Define and τ1 is called the first tuning function. 129) which implies that z1 converges to zero asymptotically. Since z2 = 0, we do not ˆ˙ = Γ τ1 as an update law for Θ at this step to avoid over-parametrization use Θ problem, because Θ will also appear in the following steps.

5), we choose the following matrix K = [k1 Ir , . . 16) where ki > 0, i = 1, . . 17) is stable. This is sufficient if sv +k1 sv−1 +. +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 , .

100) 48 Adaptive Control of Time-Varying Nonlinear Systems where f = min{ P1 2 , 2c1 , 2c2 , . . , 2cρ , } > 0. Due to the utilization of projection operations for θˆ and qˆ, the boundedness of θ˜ and q˜ can be guaranteed. Together t the boundedness d(t), q and θ˙ ,the boundedness of Mρ and 0 f2 (θ˜T Γ −1 θ˜ + t q˜2 )e−f (t−τ ) dτ + 0 Mρ e−f (t−τ )dτ can be guaranteed. 4), f0 is selected as the upper bound of Vρ (0)+ 0 f2 (θ˜T Γ −1 θ+ t Mρ e−f (t−τ ) dτ, g(t) = bm (t). 1, we can conclude that Vρ (t) 0 and χ(t), hence zi , (i = 1, .

Download PDF sample

Rated 4.81 of 5 – based on 19 votes