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

By Jing Zhou, Changyun Wen

From the reviews:

"‘The ebook is beneficial to profit and comprehend the elemental backstepping schemes’. it may be used as an extra textbook on adaptive keep an eye on for complicated scholars. keep an eye on researchers, specifically these operating in adaptive nonlinear keep watch over, also will extensively take advantage of this book." (Jacek Kabzinski, Mathematical studies, 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

Controlled and Conditioned Invariants in Linear System Theory

Utilizing a geometrical method of method conception, this paintings discusses managed and conditioned invariance to geometrical research and layout of multivariable regulate platforms, featuring new mathematical theories, new methods to straightforward difficulties and utilized arithmetic issues.

Theory of Commuting Nonselfadjoint Operators

Contemplating quintessential variations of Volterra sort, F. Riesz and B. Sz. -Nagy no­ ticed in 1952 that [49]: "The life of any such number of linear adjustments, having an identical spectrum focused at a unmarried aspect, brings out the problems of characterization of linear ameliorations of common style via their spectra.

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 structures) is among the 3 milestones in glossy keep an eye on thought. The corresponding conception is through now well-developed within the deterministic countless dimensional environment and for the stochastic differential equations.

Science and the Economic Crisis: Impact on Science, Lessons from Science

This ebook not just explores the ways that the industrial concern and linked austerity guidelines have adversely impacted the actual and human infrastructure and behavior of medical learn, but additionally considers how technology can assist us to appreciate the situation and supply unique recommendations. beginning with a close yet available research of the clinical process and the character of clinical prediction, the ebook proceeds to handle the failure to forecast the commercial problem and the origins of the continued inertia in monetary coverage and concept.

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

Sample text

Similarly, the boundedness of xi (i = 3, . . 82) and the fact that xi = zi + αi−1 + xr . 87) we conclude that the control u(t) is also bounded. Therefore boundedness of all signals and asymptotic tracking are ensured as formally stated in the following Theorem. 1. 90) guarantee global boundedness of x(t) ˆ pˆ and the asymptotic tracking limt→∞ (x1 − xr ) = 0. and θ, The controller designed in this section achieves the goals of stabilization and tracking. The proof of these properties is a direct consequence of the recursive procedure, because a Lyapunov function is constructed for the entire system including the parameter estimates.

Note that the backstepping design starts with its output y, which is the only available system state allowed to appear in the control law. 108) Θ = [bm , . . , b0 , θT ]T ω = [vm,2 , vm−1,2 , . . 110) ω ¯ = [0, vm−1,2 , . . 111) where Output Feedback Control 25 In above equations, 2 , vi,2 , ξ2 and Ξ2 denote the second entries of , vi , ξ and Ξ, respectively, and y, vi , ξ, Ξ are all available signals. 94) is represented as y˙ = bm vm,2 + ξ2 + ψ1 (y) + ω ¯T Θ + 2 i = 2, 3, . . 114) will be our design system, whose states y, vm,2 , .

Note that the design of tuning functions does not follow the standard tuning function design in [1] as the projection operations are used in the parameter estimators. 98) . 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.

Download PDF sample

Rated 4.03 of 5 – based on 6 votes