Abstract: In this paper, the transmission zero at s radius and the minimum phase radius of a linear time-invariant (LTI) system are introduced. The former radius gives a measure of how “near” a LTI system is from having a transmission zero at a specified point s ∈ C in the complex plane, and the latter radius measures how “near” a minimum phase system is to a nonminimum phase system. Formulas f...

This paper addresses the problem of stabilization non-minimum phase switched nonlinear systems where internal dynamics with symmetries or non-symmetries each mode may be unstable. The authors initially build a stabilizing Lyapunov controller for in order to stabilize its own unstable dynamics. proposed approach is based on exact input-output feedback linearization technique and stability theory...

recovery method has been quite popular for aircraft control system design. In the proposed method we derive an optimal control law to minimize a generalized linear quadratic performance index to achieve better recovery quality in the LTR process and better some performance in time-domain responses and frequency-domain responses as well. The resulting controller can achieve a prescribed degree o...

In this paper we deal with the problem of output regulation for possibly nonminimum-phase nonlinear systems. The main goal is to provide a unifying framework for a number of recently proposed results. The underlying idea is to use a design paradigm based on zero-dynamics re-design which reduces the problem to a problem of set stabilization using high-gain feedback. In this unified setting, we a...

The analysis of input/output stability is one of the fundamental issues in control theory. External inputs might represent disturbances, estimation errors, or tracking signals, and outputs may correspond to the entire state, or to a more general quantity such as a tracking or regulation error, or the distance to a target set of states such as a desired periodic orbit. For linear systems, one ch...

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 ...

We show that an adaptive input/output feedback linearization control scheme for minimum phase nonlinear systems is robust with respect to unstructured plant uncertainties that include such as unmodeled dynamics and disturbances, provided the adaptive law is modiied in the same fashion as for linear systems, and the plant nonlinearities satisses some growth constraints. In the analysis we utiliz...

This paper addresses the problem of blind speech dereverberation by inverse filtering of a room acoustic system. Since a speech signal can be modeled as being generated by a speech production system driven by an innovations process, a reverberant signal is the output of a composite system consisting of the speech production and room acoustic systems. Therefore, we need to extract only the part ...

In this paper, we introduce a method that provides a nonlinear noncollocated output for trajectory tracking of a flexible one-link robot. The link is modeled as a finite-order Lagrangian system obtained from truncated modal analysis. This noncollocated output is derived based on viewing a flexible link robot arm as an underactuated mechanical system and then applying an appropriate change of co...

In this paper, we examine the parametrization of all stabilizing multiperiod repetitive controllers with the specified frequency characteristics. The parametrization of all stabilizing multi-period repetitive controllers, those are used to improve the disturbance attenuation characteristics of the repetitive controller, for non-minimum phase systems was solved by Yamada et al. However, when we ...