By C.T. Leondes (Eds.)

Compliment for earlier Volumes "This booklet may be an invaluable connection with keep watch over engineers and researchers. The papers contained conceal good the new advances within the box of contemporary regulate theory."-IEEE staff CORRESPONDENCE"This booklet may help all these researchers who valiantly attempt to continue abreast of what's new within the idea and perform of optimum control."-CONTROL

Show description

Read or Download Discrete-Time-Control System Analysis and Design PDF

Similar system theory books

Controlled and Conditioned Invariants in Linear System Theory

Utilizing a geometrical method of procedure concept, this paintings discusses managed and conditioned invariance to geometrical research and layout of multivariable keep watch over platforms, offering new mathematical theories, new methods to straightforward difficulties and utilized arithmetic themes.

Boolean Constructions in Universal Algebras

Over the last few many years the guidelines, tools, and result of the speculation of Boolean algebras have performed an expanding function in numerous branches of arithmetic and cybernetics. This monograph is dedicated to the basics of the idea of Boolean structures in common algebra. additionally thought of are the issues of proposing diversified kinds of common algebra with those buildings, and purposes for investigating the spectra and skeletons of types of common algebras.

Advanced H∞ Control: Towards Nonsmooth Theory and Applications

This compact monograph is concentrated on disturbance attenuation in nonsmooth dynamic structures, constructing an H∞ process within the nonsmooth environment. just like the normal nonlinear H∞ strategy, the proposed nonsmooth layout promises either the interior asymptotic balance of a nominal closed-loop approach and the dissipativity inequality, which states that the dimensions of an mistakes sign is uniformly bounded with appreciate to the worst-case measurement of an exterior disturbance sign.

Mathematical Systems Theory I: Modelling, State Space Analysis, Stability and Robustness (Pt. 1)

This booklet offers the mathematical foundations of platforms idea in a self-contained, finished, special and mathematically rigorous means. this primary quantity is dedicated to the research of dynamical structures, while the second one quantity should be dedicated to keep an eye on. It combines good points of a close introductory textbook with that of a reference resource.

Extra resources for Discrete-Time-Control System Analysis and Design

Example text

The sequence space g2(l+,/C), or simply g2(/C), is defined to be oo e2(Jc) . - { ~ ~ k ~/c, II~kll 2 < ~), k=O The norm for ~bk is the one on K; and the norm for g2(K;) is given by 1//2 11~112 - II~kll 2 The lifting operator W, mapping/22[0, co) to f2(~), is defined by - Wy~ ~k(t)- y(t+kh), We denote the lifted signal W y by/). 0<_ t < h. H - - OPTIMAL CONTROL Now we lift the system in the preceding figure t o get Here the lifted system G satisfies the discrete-time equations [14] [since w has support in [O,h), 6 is a pulse sequence in e2(IC)] ((k + 1) ik = Ad[(k) +8 + Bzdv(b), 1 ~ k Gk = Gobd(k) (16) = C1((k)+Dll~k$~12~(k), (17) where ((k) := x(kh) and the operators are given by The system G can be regarded as a linear time-invariant system in discrete time, with Zk and Gk being infinite-dimensional (functions in IC).

The following remarks are in order: + f1w ~ . H,- OPTIMAL CONTROL 27 1. N defined in (19) is a constant matrix pair because D ; ~ Cas~a 61 whole is a rnatrix (operator on C ) . Tlze formulas for 0 ~ ~ can be derived easily (see Section V). Similarly, F, though involving operators, is also a matrix. However, the feedforward gain FI is an operator mapping K to I ; its action on a fixed 27, can be determined a priori. 2. ';c(klr)]is indepe~ltle~rt ogenous input lo and can be realized by sampling x ( t ) a t the same rate as the hold operator.

34, No. 8, pp. 831-847, 1989. 34 TONGWEN CHEN AND BRUCE A . FRANCIS [ I l l 11. T. lity criterion," A ~ t o n z ~ t i cvol. a , 28, No. tems with an H 1, pp. 45-54, 1992. 1121 Y. Yamamoto, "A new approacll t o sampled-data control systems - a function space approach method," Proc. CDC, 1990. [13] B. Bamieh and J. B. Pearson, "A general framework for linear periodic systems with application t o H ' , sampled-data control," IEEE Trans. Autonzat. Control, vol. 37, pp. 418-435, 1992. [I41 B. Bamieh, J.

Download PDF sample

Rated 4.03 of 5 – based on 31 votes