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In designing a variable recursive digital filter (variable-recursive-filter), one of the most important problems to be solved is to guarantee the stability of the designed variable recursive digital filter. This paper simplifies the existing parameter-transformation presented in the literature, which is used for transforming the denominator-coefficients of the transfer function of a variable-recursive-filter...
In this paper we consider the problem of the stability of switched nonlinear systems. We use an optimization strategy based on Linear Matrix Inequality (LMI) and a genetic algorithm (GA), to compute the region of attraction of each subsystem. The feedback control will be designed to guarantee global stability by means the multiply Lyapunov functions under a switching signal. The implementation and...
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.
The stability of dynamical controllers using pole assignment is addressed. Two types of dynamical controllers: state-space output-feedback dynamical controllers and polynomial outputfeedback dynamical controllers are considered. The design formulations of stable dynamical controllers are presented using output-feedback and polynomial pole assignment techniques. They ensure that the closed-loop poles...
This paper considers the problem of determining the minimum euclidean distance of a point from a polynomial surface in Rn. It is well known that this problem is in general non-convex. The main purpose of the paper is to investigate to what extent Linear Matrix Inequality (LMI) techniques can be exploited for solving this problem. The first result of the paper shows that a lower bound to the global...
This paper focuses on the static output feedback stabilization problem for a class of SISO systems in the case of multiple delay controllers. We are interested in giving necessary conditions for the existence of such stabilizing controllers. Illustrative examples (a chain of integrators, or a chain of oscillators) are presented and discussed.
The stability region in the space of coefficients of a polynomial is a non-convex region in general. In this paper, we propose a new convex ellipsoidal inner approximation of this region derived via optimization over linear matrix inequalities. As a byproduct, we obtain new simple sufficient conditions for stability that may prove useful in robust control design.
Industrial heating furnaces have many special characteristics like huge capacity, long lag, non-linear attribute etc. Due to these properties, it is very essential to design an appropriate controller for these furnace systems so that proper operation as well as safety of the workers around it is ensured. This implies that, the stability analysis and controller design for these heating furnace systems...
The most important issue in designing a variable-recursive-filter is to guarantee its stability. This is because the stability may be destroyed when the denominator-coefficients of a variable-recursive-filter are changed on-line. Once such an instability occurs, all the filtering operations become meaningless. To solve the instability problem, this paper proposes a novel parameter-transformation method...
This paper addresses the problem of establishing robust exponential stability of 2D mixed continuous-discrete-time systems affected by uncertainty. Specifically, it is supposed that the matrices of the system are polynomial functions of an uncertain vector constrained over a semialgebraic set. First, it is shown that robust exponential stability is equivalent to the existence of a complex Lyapunov...
Fractional order differential algebraic equations (FDAEs) are more complex than fractional differential equations (FDEs) on analytical and numerical analysis. In this paper, the sliding mode control theory is introduced to convert the FDAEs into FDEs firstly. Then the predictor-corrector method is used to solve FDEs. To avoid the constraint violations, the numerical results have been corrected. Furthermore,...
This paper presents some results for stability analysis of fractional order polynomials using the Hermite-Biehler theorem. The possibilities of the extension of the Hermite-Biehler theorem to fractional order polynomials is investigated and it is observed that the Hermite-Biehler theorem can be an effective tool for the stability analysis of fractional order polynomials. Variable changing has been...
This paper presents a sum of squares (SOS) approach to stability analysis of polynomial fuzzy systems with time-delay. Based on a novel polynomial Lyapunov-Krasovskii Functional, stability conditions are presented in terms of sum of squares in order to reduce the conservatism. The proposed SOS-based framework is more innovative and effective than the existing linear matrix inequality (LMI). The SOS...
The article uses the cone definition, modifying the region in the reference [3], deleting the condition of V(t,0)=0. It is more convenient in application.
Zernike moments are widely used in shape retrieval, recognition and classification. The rotational invariance property of Zernike moments is very simple to achieve, due to their separable magnitude-phase property. However, Zernike moments are not directly invariant to scale and translation. Recently Cartesian Zernike moments invariants (CZMI) were introduced to directly make Zernike moments invariant...
In the common type of phase locked loop nonlinear system model equations, stability relate to the structure of planar polynomial systems. For more study on the stability of the lower order systems, stability of the higher order systems and stability of the systems in critical situations of local topological structure relate to polynomial coefficients in right side. Criterion is more complex.
Consider a wireless network of n nodes represented by a (undirected) graph G where an edge (i,j) models the fact that transmissions of i and j interfere with each other, i.e. simultaneous transmissions of i and j become unsuccessful. Hence it is required that at each time instance a set of non-interfering nodes (corresponding to an independent set in G) access the wireless medium. To utilize wireless...
The paper presents stability and stabilization conditions of a class of polynomial discrete fuzzy systems with time delay, using the sum-of-squares (SOS) approach. First, through employing a parameter dependent discrete Lyapunov-Krasovskii functional, with some free weighting matrices, a delay-dependent stability criterion is obtained. Next, Based on the fuzzy control approach (PDC), controller synthesis...
A novel randomized approach to fixed-order controller design is proposed for discrete-time SISO plants. It is based on the random generation of Schur stable polynomials using reflection coefficients and reflection segments of polynomials. Stable reflection segments are projected onto affine set of closed-loop characteristic polynomials which is defined by the controller parameters and the stable line...
This papers deals with the stability test procedure for a certain class of the fractional-order systems. The proposed approach is based on the Nyquist stability criterion. The fractional-order systems can be described by the fractional-order differential equations or by fractional-order transfer functions. This approach does not need the poles calculation of the close-loop system characteristic equation,...
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