Get Absolute stability of nonlinear control systems PDF

By Xiao-Xin Liao

ISBN-10: 1402084811

ISBN-13: 9781402084812

ISBN-10: 140208482X

ISBN-13: 9781402084829

Following the new advancements within the box of absolute balance, Professor Xiaoxin Liao, together with Professor Pei Yu, has created a moment version of his seminal paintings at the topic. Liao starts with an advent to the Lurie challenge and the Lurie regulate method, sooner than relocating directly to the straightforward algebraic adequate stipulations for absolutely the balance of self reliant and non-autonomous ODE platforms, in addition to numerous distinct sessions of Lurie-type structures. the point of interest of the publication then shifts towards the hot effects and examine that experience seemed within the decade because the first version used to be released. This comprises nonlinear regulate platforms with a number of controls, period keep watch over structures, time-delay and impartial Lurie regulate platforms, structures defined through practical differential equations, absolutely the balance for neural networks, in addition to functions to chaos keep watch over and chaos synchronization.

This ebook is aimed toward undergraduates and academics within the components of utilized arithmetic, nonlinear keep watch over platforms and chaos regulate and synchronisation, yet can also be worthy as a reference paintings for researchers and engineers. The booklet is self-contained, although a simple wisdom of calculus, linear method and matrix idea, and usual differential equations is needed to achieve a whole knowing of the workings and methodologies mentioned inside.

Show description

Read or Download Absolute stability of nonlinear control systems PDF

Similar robotics & automation books

Download PDF by J. R. Raol, G. Girija, J. Singh: Modelling and Parameter Estimation of Dynamic Systems (IEE

Parameter estimation is the method of utilizing observations from a method to advance mathematical versions that properly symbolize the approach dynamics. The assumed version includes a finite set of parameters, the values of that are calculated utilizing estimation recommendations. lots of the innovations that exist are in response to least-square minimization of blunders among the version reaction and genuine method reaction.

Adaptive control - download pdf or read online

Compatible for complicated undergraduates and graduate scholars, this assessment introduces theoretical and useful elements of adaptive regulate. It provides an exceptional standpoint on ideas and an energetic wisdom of key ways, supplying a well-developed experience of whilst to exploit adaptive strategies and whilst different equipment are extra acceptable.

Download e-book for kindle: Stability and Control of Time-delay Systems by Luc Dugard, Erik I. Verriest

Even supposing the decade has witnessed major advances on top of things idea for finite and countless dimensional platforms, the steadiness and keep an eye on of time-delay structures haven't been totally investigated. Many difficulties exist during this box which are nonetheless unresolved, and there's a tendency for the numerical equipment to be had both to be too basic or too particular to be utilized appropriately throughout a variety of difficulties.

Robotics: Science and Systems V by Jeff Trinkle, Yoky Matsuoka, Jose A. Castellanos PDF

Robotics: technological know-how and structures V spans a large spectrum of robotics, bringing jointly researchers engaged on the principles of robotics, robotics functions, and the research of robotics platforms. This quantity provides the complaints of the 5th annual Robotics: technology and platforms convention, held in 2009 on the collage of Washington in Seattle.

Extra info for Absolute stability of nonlinear control systems

Example text

N; 2. There exist n functions ci (xi ) (i = 1, 2, . . , n), which are continuous or have only finite discontinuous points of the first or third kind, and satisfy ci (xi ) xi > 0 for xi = 0 and 0±∞ ci (xi ) dxi = +∞, i = 1, 2, . . , m; ci (xi ) xi ≥ 0, i = m + 1, . . , n; 3. There exist functions εi (xi ) > 0 (i = 1, 2, . . , m) such that ˜ b˜ i j )n×n + diag(ε1 (x1 ) · · · εm (xm )) 0 B( 0 0 n×n is negative semi-definite, where ⎧ ⎨ ci (xi )ai j fi j (x j )+c j (x j )a ji f ji (xi ) , x x = 0, i j ˜bi j (x) = i, j = 1, .

The partial variable y. In the following, we consider a more specific system given by y˙ = z˙ = n n j=1 n j=1 ∑ a1 j f j (x j ), . . , ∑ am j f j (x j ) n T , ∑ a(m+1) j f j (x j ), . . 20) j=1 where f j (x j ) ∈ C[R, R], f j (0) = 0, j = 1, . . , n. 20) is unique. 35. 18) satisfies the following conditions: 1. fi (xi ) xi > 0 for xi = 0 and 0±∞ fi (xi ) dxi = +∞, aii < 0, i = 1, 2, . . , m, fi (xi ) xi ≥ 0, i = m + 1, . . , n; 2. There exist constants ci > 0 (i = 1, 2, . . , m), c j ≥ 0 ( j = m + 1, .

Fm j (x j ) n T , ∑ f(m+1) j (x j ), . . , ∑ fn j (x j ) j=1 T . t. partial variables [68]. A11 A12 is symmetric, where A11 , A12 , A21 , Let us assume that A(ai j )n×n = A21 A22 and A22 are m × m, m × p, p × m, and p × p matrices, respectively, and m + p = n. 27. t. y if there are constants εi > 0 (i = 1, 2, . . , m) such that m m xT A x ≥ ∑ εi x2i xT A x ≤ − ∑ εi x2i . 28. t. y if and only if there exists a constant ε > 0 such that positive semi-definite an m × m matrix. A11 − ε Im×m A12 is A21 A22 A11 + ε Im×m A12 is negative semi-definite , where Im×m is A21 A22 24 2 Principal Theorems on Global Stability Proof.

Download PDF sample

Absolute stability of nonlinear control systems by Xiao-Xin Liao


by Richard
4.0

Rated 4.40 of 5 – based on 50 votes