In this case, the equivalent open-loop cheap controller is given by Q(s) = (s + 1)(s + 2) 2(1 + s)(1 + s) : (32) It then follows that q1 = 1=2, and Q(s) 01 0 q 01 1 = 2[(+ 0 3)s + (1 0 2)] (s + 1)(s + 2) : (33) Using (33) in (20) we have that, as ! 0 tsat ! ln The tracking error on the interval [0 + tsat) is e(t) The value of k t sat given by kt sat = 1 1 0 2(1 +)e 0t + (1 + 2)e 02t t (36) and ...

The design of ideal internal dynamics (IID) generators, namely solving IID, is a fundamental problem, which is a key step to handle the nonminimum-phase output tracking problem. In this paper, for a class of unstable matrix differential equations, a new causal dynamic IID generator is proposed, whose parameters are partly chosen via H2/H∞ optimization. Compared with existing similar generators,...

The boundary feedforward control problem for a class of distributedparameter port-Hamiltonian systems in one spatial dimension is addressed. The considered hyperbolic systems of two conservation laws (with dissipation) are discretized in the spatial coordinate using an energy-based, structure preserving discretization scheme. The resulting finite-dimensional approximate state representation has...

In this article, the problem of nonperiodic tracking–transition switching with preview is considered. Such a control problem exists in applications including nanoscale material property mapping, robot manipulation, and probe-based nanofabrication, where the output needs to track the desired trajectory during the tracking sections, and rapidly transit to another point during the transition secti...

in this work, a molecular dynamics simulation of the transport of water - methanol mixture through the single wall carbon nanotube (swcnt) is reported. methanol and water are selected as fluid molecules since water represents a strongly polar molecule while methanol is as an intermediate between polar and strongly polar molecules. some physical properties of the methanol-water mixture such as r...

In this paper we study the problem of equalizing a communications channel from an H 1 point of view. H 1 estimation theory has been recently introduced as a method for designing lters that have acceptable performance in the face of model uncertainty and lack of statistical information on the exogenous signals. The approach may therefore be attractive for channel equalization problems where rapi...

The inverse of a non-minimum-phase system being unstable, standard input-output feedback linearization is not effective to control such systems. In this chapter is a presentation of a new tracking control method for the nonlinear non-minimum-phase system. Indeed, the main idea here is to dismiss a part of system dynamics in order to make the approximate system input-state feedback linearizable....

The subject of this paper is the modelling of the influence of non-minimum phase discrete-time system dynamics on the performance of norm optimal iterative learning control (NOILC) algorithms with the intent of explaining the observed phenomenon and predicting its primary characteristics. It is established that performance in the presence of non-minimum phase plant zeros typically has two phase...

Analysis and design algorithms for residual generators for non minimum phase systems are given. It is shown that H∞ optimization of residual generators applied directly to systems including non minimum phase zeros can be very conservative. To remove this conservatism in theH∞ optimization of the residual generators, a factorization of the non minimum phase system into a minimum phase part and a...

Quantitative force spectroscopy experiments require a comprehensive knowledge of the frequency response characteristics of the micro-cantilever. To establish a generic theoretical model an analytical mathematical description of the cantilever dynamics in force spectroscopy was developed using a transfer function approach. This study allows for quantitative evaluation of force spectroscopy exper...