New PDF release: Current Trends in Nonlinear Systems and Control. In Honor of

By Laura Menini, Luca Zaccarian, Chaouki T. Abdallah

ISBN-10: 0817643834

ISBN-13: 9780817643836

This quantity is an outgrowth of the workshop "Applications of complex keep watch over idea to Robotics and Automation,” geared up in honor of the seventieth birthdays of Petar V. Kokotovic and Salvatore (Turi) Nicosia. either Petar and Turi have performed unique paintings within the regulate neighborhood and feature lengthy been well-known as mentors, specialists, and pioneers within the box of computerized regulate, masking many subject matters on top of things thought and a number of other diversified functions. the diversity in their examine is mirrored during this publication, consisting of contributions from best specialists within the box starting from arithmetic to laboratory experiments.
Main subject matters coated include:
* country Estimation and id: observer designs for nonlinear structures and linear time-delay platforms, in addition to id concepts for linear, nonlinear, piecewise linear, and hybrid systems.
* keep watch over and method idea: theoretical effects on the topic of the research and keep watch over of dynamical structures, together with a presentation of Lyapunov instruments for linear differential inclusions, a learn of the keep an eye on of restricted platforms, and a remedy of finite-time balance concepts.
* Robotics: new experiences of robotic manipulators, parameter identity, and diversified regulate difficulties for cellular robots.
* keep an eye on of Electromechanical platforms: functions of contemporary keep an eye on thoughts to port-controlled Hamiltonian platforms, diverse sessions of cars, and internet processing systems.
* production platforms: purposes of the max-plus algebra to process aggregation, optimum computing device scheduling difficulties, and stock regulate with cooperation among retailers.
* Networked regulate structures: research and layout difficulties concerning linear and nonlinear networked regulate systems.
The scope of the paintings is sort of vast, and even supposing each one bankruptcy is self-contained, the booklet has been prepared into thematically similar chapters, and often times, handy interpreting sequences are steered to the reader. the wide range of issues coated and the educational writing sort utilized by some of the participants will make this booklet appropriate for specialists, in addition to younger researchers who search a extra intuitive realizing of those appropriate issues within the box.

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Extra info for Current Trends in Nonlinear Systems and Control. In Honor of P. Kokotovic

Example text

2 Prior and experimental information In this section, the main concepts of SM H∞ identification are introduced. Causal, discrete-time, single-input single-output, linear time-invariant, 2 BIBO stable, possibly distributed parameter, dynamical systems are consid. ered. Any such system S is uniquely determined by its impulse response hS = . S ∞ hk k=0 , whose power-series representation of the transfer function S (z) = . ∞ S k H∞ (D) defined as H∞ (D) = k=0 hk z is an element of the Hardy space . { f : D → C | f analytic in D and f ∞ = supz∈D |f (z)| < ∞}, where D = {z ∈ C : |z| < 1} is the open unit disk.

Moreover, since V ∗ ⊆ Ker C we have C(0, x2 , 0, x4 )t = C2 x2 + C4 x4 = 0 for any choice of x2 and x4 , and thus C2 = C4 = 0. To better display the structure of the matrix C, let us write Y = W CS ∗ for some direct sum∗ ∗ mand W. We have dimCS = dimCS = dim(Im T3 ) since Im T3 has no intersection with Ker C, and we can write, accordingly, C= C11 0 0 0 , C21 0 C23 0 with C23 square and nonsingular. The structure of C can be made even simpler if we make the following technical assumption (which is always satisfied over a field).

This property is important when the input set of Σd is split into a control input subset and several so-called failure input subsets. By analyzing the residual output, failure inputs, which are unknown inputs, may be detected and recognized. Therefore, the problem of constructing a residual generator is related to the problem of state observation in presence of unknown inputs. The chapter is organized as follows. In Section 2 we describe briefly the relationship between delay-differential systems and systems with coefficients in a ring and we recall some notions and preliminary results of the geometric approach for system with coefficients in a ring.

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Current Trends in Nonlinear Systems and Control. In Honor of P. Kokotovic by Laura Menini, Luca Zaccarian, Chaouki T. Abdallah

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