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

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

Show description

Read or Download Algebraic methods for nonlinear control systems PDF

Best system theory books

The Science of Synthesis - Exploring the Social Implications of General Systems Theory

Debora Hammond's The technology of Synthesis explores the advance of normal structures thought and the people who amassed jointly round that concept to shape the Society for basic structures learn. In interpreting the existence and paintings of the SGSR's 5 founding participants - Ludwig von Bertalanffy, Kenneth Boulding, Ralph Gerard, James Grier Miller, and Anatol Rapoport - Hammond lines the emergence of platforms rules throughout a wide variety of disciplines within the mid-twentieth century.

Delay Compensation for Nonlinear, Adaptive, and PDE Systems

The most universal dynamic phenomena that come up in engineering practice—actuator and sensor delays—fall outdoor the scope of normal finite-dimensional procedure idea. the 1st test at infinite-dimensional suggestions layout within the box of keep watch over systems—the Smith predictor—has remained restricted to linear finite-dimensional crops over the past 5 a long time.

Discrete-Time High Order Neural Control: Trained with Kalman Filtering

The target of this paintings is to offer contemporary advances within the concept of neural regulate for discrete-time nonlinear structures with a number of inputs and a number of outputs. the consequences that seem in every one bankruptcy comprise rigorous mathematical analyses, in response to the Lyapunov method, that warrantly its homes; additionally, for every bankruptcy, simulation effects are incorporated to ensure the winning functionality of the corresponding proposed schemes.

State Space and Input-Output Linear Systems

It's tough for me to fail to remember the light feel of betrayal I felt a few ten years in the past whilst i found, with massive dismay, that my favourite books on linear approach idea - Desoer's Notes for a moment path on Linear structures and Brockett's Finite Dimensional Linear platforms - have been either out of print.

Additional info for Algebraic methods for nonlinear control systems

Sample text

If ω is not a closed one-form, check if an integrating factor exists and in case of a positive answer, compute it. 7. 8. Prove that dξi0 ∧ dξi1 ∧ . . ∧ dξis = 0 if dξij = dξik for some index j and k. 9. Exterior product Compute the exterior product between k-forms. (a) dx (sin(y)dy (x dx + (y 2 )dy) (b) (cos(xy)dx + (y 3 )dy) (z dx + y dz) (c) (2x dx + (x + y)2 dy + (1 − z)dz) (ydx − xdz) (d) (ex )dx dy + x dy dz (e) (dx dy) (cos(x + y)dy dz) 2 Modeling Dynamic systems may be described in several ways.

Sp }, it is possible to use the observability indices as defined in Chapter 4 to derive an analogous input-output equation. 2. For the system ⎧ x˙ 1 ⎪ ⎪ ⎪ ⎪ ⎨ x˙ 2 x˙ 3 ⎪ ⎪ y1 ⎪ ⎪ ⎩ y2 = = = = = x3 u1 u1 u2 x1 x2 we have y˙ 1 = x3 u1 , y¨1 = u2 u1 + x3 u˙ 1 , and finally y¨1 = u2 u1 + (y˙ 1 /u1 )u˙ 1 The last equation holds at every point in which u1 = 0. For the second output, y˙ 2 = u1 immediately. The following example shows that for a more general nonlinear system, where x˙ does not appear explicitly, such as F (x, x, ˙ u, .

21, respectively, dω1 = d(dx1 ) = 0 dω2 = d(x3 dx1 ) = dx3 ∧ dx1 + x3 d(dx1 ) = dx3 ∧ dx1 where dω2 = 0 displays the fact that ω2 is not exact. In fact, as a linear combination of the symbols dx1 ∧ dx3 and dx3 ∧ dx1 , dω2 reads as dω2 = 0 dx1 ∧ dx3 + 1 dx3 ∧ dx1 ↓ ↓ candidate for candidate for ∂ ∂ψ ∂ ∂ψ ∂x1 ∂x3 ∂x3 ∂x1 ∂ψ ∂ψ Since ∂ = ∂ for any ψ and dx1 ∧ dx3 = −dx3 ∧ dx1 , dω2 = 0 ∂x1 ∂x3 ∂x3 ∂x1 formalizes the fact that there is no function ψ ∈ K such that ω2 = dψ. 1. Prove that invertibility is a generic property for real square matrices.

Download PDF sample

Download Algebraic methods for nonlinear control systems by Giuseppe Conte, Claude H. Moog, Anna Maria Perdon PDF
Rated 4.07 of 5 – based on 18 votes