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This article is concerned with the problem of robust H∞ noise-attenuation for switched linear discrete-time systems with polytopic uncertainties based on homogeneous parameter dependent quadratic Lyapunov function. We give the condition of robustly asymptotically stable for uncertain switched system by homogeneous parameter dependent quadratic Lyapunov function. This method is more feasible and effective...
This paper proposes a fault detection observer for classes of nonlinear models which consist of bilinear and polynomial nonlinearities up to degree three and are structured in discrete state space form. The observer is designed such that the error dynamics are time-varying and independent of unknown distubances. Sufficient conditions are given, in an efficient compact form, for a robust fault detection...
Recently the authors have shown that the general design ideas for robust controllers that are suitable for stable systems with step reference and disturbance signals are valid for more general classes of signals: in [1] for linear combinations of sinusoids and in [2] for linear combinations of sinusoids and polynomials and their products. The analysis in [1] is for parabolic systems in the time domain...
In this paper, some of the now well established results from the area of parametric robust control are combined with the describing function method to analyze the stability problem of uncertain discrete time systems with separable nonlinearities. Numerical examples are given to illustrate application of the proposed method.
The main objective of this contribution is a new development of the continuous-time generalised predictive control (CGPC) resulting in a Youla-based CGPC design procedure for both minimumphase and nonminimum-phase uncertain SISO systems. The derived design procedure consists of two steps. In the first step nominal stability and nominal performance of the control system are established by using a fully...
It is shown that for the case of minimum phase stable plants there exists, among the set of stabilizers controllers, a solution, simultaneously decoupling the outputs and at-tenuating the perturbations of the system. At the same time, the dynamics is assigned to stable positions. The at-tenuation is given by an approximation of the controllers rejecting the perturbations, which are singulars. These...
In this paper, we consider the construction of time-varying, support-adapted, oversampled filter banks. In particular, we consider a general class of filter banks, which includes tight frames and orthogonal filter banks as special cases. We show that it is possible to construct a set of boundary filters, which allows the application of the filter bank to one-sided or finite-length signals, without...
This paper is concerned with Fault Detection and Isolation for induction motors. A new procedure for the calculation of the ARR (Analytical Redundancy Relations) is presented. This method is based on the elimination of the unknown variables (states, unknown inputs, …) in the model equations. Simulation results are presented in normal situation and in presence of a speed sensor fault.
In this memory the ASIC tool (Ambient of Interactive Development of the Controller) is introduced. The software has been realised with the objective to supply an instrument for the aided synthesis of complex control systems. It is based on the polynomial approach of the direct synthesis and takes advantage of a number of properties of a particular class of polynomials: the Lipatov's polynomials. ASIC...
Various approaches to the mixed H2/H∞· control problem are proposed in the literature. The solution is often obtained by means of classical techniques (i.e. solving a Riccati problem) or by means of convex optimization procedures. With the aim to synthesize a fixed-structure controller for an uncertain plant, a global optimization approach to a single-input single-output (SISO) H2/H∞ problem is proposed...
The paper suggests the asymptotic stability condition for control systems characteristic polynomial families with interval coefficient perturbations and the method of their synthesis based on it. The combined approach of algebraic and analytical root locus methods is used.
In the present paper, we propose an approach to the problem of deconvolution in presence of model uncertainty based on the polynomial representation of linear discrete-time system. The basic idea consists in introducing the gradient of the estimation error with respect to the model uncertainty into a Minimum Variance (MV) criterion. The new criterion is a weighted sum of the MV and the variance of...
This paper generalizes the pole placement method to the case of improper transfer. In that case, the minimal order solution may be non unique. After some illustrating examples, the problem of active control of a vehicle drivetrain is investigated. The control design is based on a simplified model including a non proper approximation of the delay. A methodic choice of the closed loop poles leads to...
A simple necessary condition for an interval polynomial to have all its zeros in the open unit disc is given. This condition provides a simple and quick test to detect many unstable discrete systems.
The paper deals with the problem of robust absolute stability of systems with parametric uncertainties. By using a 2q-convex parpolygonal value set of a family of polynomials of the form P(s, q) = a0(q) + a1(q)s +………+ an(q)sn whose coefficients depend linearly on q = [q1, q2,…, qq]T and the uncertainty box is Q = {q : qi ∊ [qi, qi], i = 1,2,….q}, an extremal boundary result for a transfer function,...
The paper discusses applicability of CARMA, CARIMA and Box-Jenkins models for identification of systems of different structure. Especially, the difficulties encountered by unstable plant modes are considered. It is shown that the behaviour of identification algorithms may depend on location of the noise in the real system. Therefore it may be advisable to use different models for identification purposes...
Recently, a compact characterization of scalar positive polynomials on the real line and on the unit circle was derived by Nesterov [3]. In this paper we show how to extend this result to pseudo-polynomial matrices, and also present a new proof based on the positive real lemma. The characterization is very similar to the scalar case and also allows the use of fast algorithms for computing the central...
This paper presents a robust scheme for the indirect type of model reference adaptive control (MRAC) system, in the presence of unmodelled dynamics and measurement noise. This scheme is characterized by the use of adaptive law with dead zone and integral type of fixed compensator. Stability of the MRAC system is analyzed by employing the concept of L2δ norm and the Bellman-Gronwall lemma, based on...
By factorizing the A- and B-polynomials in an ARMAX model and filtering the input/output data with the appropriate factors, the parameters of the model are estimated in a decoupled fashion. This may improve the robustness of some estimators significantly, e.g., when applied to very stiff systems. Earlier work on these techniques has established both local and global convergence properties of some...
Although stability guarantees are available for predictive controllers, closed-loop instability may arise due to system uncertainty. The T-design and the Q-parametrisation methods are often used to enhance the robustness of predictive controllers. The former is heuristic, whereas optimisation rules exist for the latter, which makes it systematic. However, the T-design tends to producing larger robustness...
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