By Murat Arcak (auth.), Laura Menini, Luca Zaccarian, Chaouki T. Abdallah (eds.)
This quantity is an outgrowth of the workshop "Applications of complex keep an eye on idea to Robotics and Automation,” equipped in honor of the seventieth birthdays of Petar V. Kokotovic and Salvatore (Turi) Nicosia. either Petar and Turi have performed exotic paintings within the regulate neighborhood and feature lengthy been well-known as mentors, specialists, and pioneers within the box of computerized keep watch over, masking many themes up to the mark idea and several other various functions. the range in their learn is mirrored during this ebook, together with contributions from prime specialists within the box starting from arithmetic to laboratory experiments.
Main issues lined include:
* State Estimation and Identification: observer designs for nonlinear structures and linear time-delay structures, in addition to id strategies for linear, nonlinear, piecewise linear, and hybrid systems.
* Control and approach Theory: theoretical effects concerning the research and regulate of dynamical platforms, together with a presentation of Lyapunov instruments for linear differential inclusions, a learn of the keep watch over of limited platforms, and a remedy of finite-time balance strategies.
* Robotics: new reviews of robotic manipulators, parameter identity, and assorted keep an eye on difficulties for cellular robots.
* Control of Electromechanical Systems: purposes of recent regulate options to port-controlled Hamiltonian structures, various periods of autos, and net processing systems.
* Manufacturing Systems: functions of the max-plus algebra to method aggregation, optimum computing device scheduling difficulties, and stock regulate with cooperation among outlets.
* Networked keep watch over Systems: research and layout difficulties on the topic of linear and nonlinear networked keep an eye on systems.
The scope of the paintings is sort of huge, and even supposing each one bankruptcy is self-contained, the publication has been prepared into thematically comparable chapters, and now and again, handy analyzing sequences are urged to the reader. the wide range of themes lined and the educational writing type utilized by the various members will make this publication appropriate for specialists, in addition to younger researchers who search a extra intuitive knowing of those correct subject matters within the field.
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Extra resources for Current Trends in Nonlinear Systems and Control: In Honor of Petar Kokotović and Turi Nicosia
A41 + g41 C11 A42 A43 + g42 C23 A44 Taking the quotient modulo S ∗ , the error equation (8) gives e(t + 1)modS ∗ = ˜ Ae(t) modS ∗ , where A˜ = (A + GC)|mod S∗ = A11 + g11 C11 0 A21 + g21 C11 A22 26 G. Conte and A. M. Perdon and we see that there is a part of the error dynamics, corresponding to A22 , that cannot be modiﬁed by any choice of the friend G. So we can state the following proposition. Proposition 5. A necessary condition for the existence of solutions to the UIO problem for the system Σ of the form (3) over R is, with the above notation, that det(sI − A22 ) belongs to H.
Conte G, Perdon AM, Guidone-Peroli G (2003) Unknown input observers for linear delay systems: a geometric approach, Proc. 42nd IEEE CDC, Maui, HI 10. Conte G, Perdon AM, Neri F (2001) Remarks and results about the ﬁnite spectrum assignment problem, Proc. 40th IEEE CDC, Orlando, FL 11. Sename O, Fattouh A, Dion JM (2001) Further results on unknown input observers design for time-delay systems, Proc. 40th IEEE CDC, Orlando, FL 12. Kamen EW (1991) Linear system over rings: from R. E. Kalman to the present, Mathematical System Theory–The Inﬂuence of R.
Perdon Example 2. Let Σ be a system deﬁned over the ring R[∆] by equations of the form (3), with 00 A= , C= ∆1 . 10 The submodule S = span ∆ 0 is an (A, C) invariant submodule for Σ, since Ker C ∩ S = 0. For every R-linear map G = g1 g2 : Y → X, we have g1 ∆ g1 ∆ 2 g1 . Then (A + GC)S = span is g2 ∆ + 1 g2 (g2 ∆ + 1)∆ contained in S if and only if g2 ∆ + 1 = 0. Since this equation has no solution in R[∆], S is not an (A + GC) invariant submodule. A + GC = Conditions under which a conditioned invariant submodule is feedback invariant are given in  and in .