Download Algebraic Methods for Nonlinear Control Systems by Giuseppe Conte, Claude H. Moog, Anna Maria Perdon PDF

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

It is a self-contained creation to algebraic keep an eye on for nonlinear platforms compatible for researchers and graduate scholars. it's the first booklet facing the linear-algebraic method of nonlinear keep watch over platforms in any such distinct and broad model. It presents a complementary method of the extra conventional differential geometry and offers extra simply with a number of vital features of nonlinear platforms.

Show description

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

Best system theory books

Discrete-Time Linear Systems : Theory and Design with Applications

Discrete-Time Linear structures: conception and layout with functions combines approach idea and layout so as to convey the significance of approach conception and its position in process layout. The ebook makes a speciality of procedure thought (including optimum country suggestions and optimum nation estimation) and method layout (with functions to suggestions keep watch over structures and instant transceivers, plus procedure id and channel estimation).

Dissipative Systems Analysis and Control: Theory and Applications

This moment version of Dissipative structures research and keep watch over has been considerably reorganized to deal with new fabric and increase its pedagogical positive aspects. It examines linear and nonlinear structures with examples of either in every one bankruptcy. additionally integrated are a few infinite-dimensional and nonsmooth examples.

Design of Multi-Bit Delta-Sigma A/D Converters

Layout of Multi-Bit Delta-Sigma A/D Converters discusses either structure and circuit layout elements of Delta-Sigma A/D converters, with a different concentrate on multi-bit implementations. The emphasis is on high-speed high-resolution converters in CMOS for ADSL functions, even though the cloth is also utilized for different specification ambitions and applied sciences.

Robust Control of Linear Descriptor Systems

This booklet develops unique effects relating to singular dynamic structures following diversified paths. the 1st contains generalizing effects from classical state-space circumstances to linear descriptor structures, resembling dilated linear matrix inequality (LMI) characterizations for descriptor structures and function keep watch over below law constraints.

Extra info for Algebraic Methods for Nonlinear Control Systems (Communications and Control Engineering)

Example text

1. Consider the following ”Ball and Beam” system [166], whose input is the angle α and whose output is the ball position r. The input-output equation of the system is 0= J + m r¨ + mg sin α − mrα˙ 2 R2 where the constant parameters J, R, m, g represent, respectively, the inertia of the ball, its radius, its mass, and the gravitational constant. 1. Write a generalized state space representation of the system, if any. 2. Write a classical state-space realization, if any. 16. 10 Some Models r ✭ ✭ 43 ✭✭ ✛ ✭✭✭✭ ✭✭ ✩ ⑥ ✭✭✛ ✭✭✭✭ α ✭ ✭ ✭✭✭✭ ✭✭✭ Fig.

U(s) ) .. ˙ . . , u(s) ) xk = ξk (y, y, xk+1 = u .. 23) xk+s+1 = u(s) k From Hs+2 ⊂ Hs+1 , it follows dξ˙i = j=1 αdξ + βdu, for each j = 1, . . , k. Let x = (x1 , . . , xk ). 24) The assumption k > s indicates that the output y depends only on x. 14). Since the state-space system is proper, necessarily k > s. H1 = spanK {dx, du, . . , du(s) } .. 23), the spaces Hi are integrable as expected. 17. Let y¨ = u˙ 2 , and compute ˙ du, du} ˙ H1 = spanK {dy, dy, H2 = spanK {dy, dy, ˙ du} H3 = spanK {dy, dy˙ − 2udu)} ˙ Since H3 is not integrable, there does not exist any state-space system generating y¨ = u˙ 2 .

10. 1) if there exists an integer ν and meromorphic function coefficients αi in K, for i = 1, . . , ν, so that α0 ω + . . 11. 12. A one form ω in X is an autonomous element if and only if it has an infinite relative degree. Proof. Necessity: Assume that ω in X has an infinite relative degree. 10) This yields that ω is autonomous. Sufficiency: By contradiction, show that if ω has finite relative degree, then it is not autonomous. 11) for any k ≥ 1. This completes the proof. 13. The function ϕ ∈ K and the one-form dϕ have the same relative degree.

Download PDF sample

Rated 4.17 of 5 – based on 39 votes