New PDF release: Algebraic Methods for Nonlinear Control Systems

By Giuseppe Conte, Claude H. Moog, Anna Maria Perdon

ISBN-10: 1846285941

ISBN-13: 9781846285943

ISBN-10: 184628595X

ISBN-13: 9781846285950

It is a self-contained creation to algebraic regulate for nonlinear structures appropriate for researchers and graduate scholars. it's the first ebook facing the linear-algebraic method of nonlinear keep an eye on structures in this type of distinct and vast type. It offers a complementary method of the extra conventional differential geometry and offers extra simply with numerous very important features of nonlinear platforms.

Show description

Read or Download Algebraic Methods for Nonlinear Control Systems (Communications and Control Engineering) PDF

Best system theory books

Download e-book for kindle: Synchronization. A universal concept in nonlinear sciences by Arkady Pikovsky

Platforms as diversified as clocks, making a song crickets, cardiac pacemakers, firing neurons and applauding audiences express a bent to function in synchrony. those phenomena are common and will be understood inside a standard framework according to smooth nonlinear dynamics. the 1st 1/2 this publication describes synchronization with out formulae, and relies on qualitative intuitive rules.

Dynamic Stabilisation of the Biped Lucy Powered by Actuators - download pdf or read online

This publication reviews at the advancements of the bipedal jogging robotic Lucy. exact approximately it truly is that the biped isn't actuated with the classical electric drives yet with pleated pneumatic man made muscle tissues. In an opposed setup of such muscle mass either the torque and the compliance are controllable.

Additional resources for Algebraic Methods for Nonlinear Control Systems (Communications and Control Engineering)

Example text

It does not admit a basis which consists only of closed forms, the limit A = H∞ turns out to be closed. 18. , ωr } be a basis for A, then dωi ∧ ω1 ∧ . . , dξr } Since A is invariant under time differentiation, in particular, ξ˙1 = f1 (ξ1 , · · · , ξr ) .. 7 Controllability Indices ξ˙1 = f1 (ξ1 , · · · , ξr ) .. ξ˙r = fr (ξ1 , · · · , ξr ) ξ˙r+1 = fr+1 (ξ1 , · · · , ξn ) + gr+1 (ξ1 , · · · , ξn )u .. 1, the ξ1 , . . , ξr are autonomous elements that satisfy a differential equation of order less than or equal to r.

Y (k) , u, . . 8) where u and y are, respectively, a scalar input and a scalar output, F is a meromorphic function of its arguments; and ∂y∂F(k) is generically nonzero. 8) can easily be constructed by introducing the new variable x = (x1 , . . , xk ), defined by (x1 , . . , xk ) = (y, . . , y (k−1) ) This yields the following set of implicit state equations ⎧ x˙ 1 = x2 ⎪ ⎪ ⎪ ⎨ .. ⎪ = xk x ˙ ⎪ k−1 ⎪ ⎩ (s) F (x1 , . . , xk , x˙ k , u, . . 10) The assumption about ∂y∂F(k) and the implicit function theorem , now, allow us to write, at least locally, ⎧ x˙ 1 = x2 ⎪ ⎪ ⎪ ⎪ ..

The relative degree r of ϕ is given by r = inf {k ∈ IN , such that dϕ(k) ∈ X }. 5) In particular, we say that ϕ has finite relative degree if r belongs to IN and that ϕ has infinite relative degree if r = ∞. 8. 9. 1), then (i) dϕ ∈ X 48 3 Accessibility (ii)ϕ has infinite relative degree. Proof. 6) for any k ≥ 1. 6, this is not true for ω = dϕ and k = ν + 1. This ends the proof of statement (i). 7) for any k ≥ 1. 6. The notion of autonomous element can be defined also in the context of nonexact forms.

Download PDF sample

Algebraic Methods for Nonlinear Control Systems (Communications and Control Engineering) by Giuseppe Conte, Claude H. Moog, Anna Maria Perdon


by Thomas
4.5

Rated 4.27 of 5 – based on 16 votes