This study explains and demonstrates the design method for a control system with a load disturbance observer. Observer gains are determined by linear programming (LP) in terms of the Routh-Hurwitz stability criterion and the final-value theorem. In addition, the control model has a feedback structure, and feedback gains are determined to be the linear quadratic regulator. The simulation results...

Stability analysis of fuzzy control systems using polynomial methods is proposed. First, a new approach is introduced to search for poles of a T-S fuzzy system in any mixed weighting case. Next, through the technique of the pole placement, a controller can be designed to achieve the desired response. Then, using the following methods, such as the Kharitonov polynomials, Edge Theorem, Routh stab...

Abstract: This paper presents the robust synchronization problem of a 3D chaotic system by using the active control technique. Based on the Gershgorin theorem and Routh-Hurwitz criterion, sufficient algebraic conditions are derived to design a linear controller gain matrix. The conditions are then applied for the robust stability of the synchronization error dynamics in the presence of an unkno...

In this paper, an SIR epidemic model involving information-related vaccination, non-linear incidence rate and the information variable is studied. We get a critical value 0  . When 1 < ) (1 0 0  p  , the disease-free Equilibrium is stable, on the contrary, if 1 > ) (1 0 0  p  , the disease-free equilibrium is unstable and an endemic equilibrium appears. We study the local stability and glo...

Robust stability of LTI systemswith parametric uncertainty is a very interesting topic to study, industrial world is contained in parametric uncertainty. In industrial reality, there is not a particular system to analyze, there is a family of systems to be analyzed because the values of physical parameters are not known, we know only the lower and upper bounds of each parameter involved in the ...

In this paper, the stability analysis of neural field model is studied. The special case for three neuron populations considered. work conducted by finding characteristic equation system first and then investigating roots third-order using Routh-Hurwitz criterion Sturm sequence. main given in two parts considering nonexistence existence delay term. Some basic criteria terms coefficients are the...

This paper investigates the dynamics of two couplecd Mathieu equations. The coupling functions involve both delayed and nondelay terms. We use a perturbation method to obtain a slow flow which is then studied using Routh-Hurwitz stability criterion. Analytic results are shown to compare favorably with numerical integration. The numerical integrator, DDE23, is shown to inadvertently add damping....

A continuous feedback controller is designed to suppress and eliminate the chaotic behavior of Chua’s circuit. This controller is constructed by the following two phases. First, the set of equilibrium points is extended by virtue of embedding suitable feedback terms in the control channel. Second, a state error term is then added to steer the dynamics of the control system to a fixed point or a...

Analysis and controlling of bifurcation for a class of chaotic Van der PolDuffing system with multiple unknown parameters are conducted. The stability of the equilibrium of the system is studied by using Routh-Hurwitz criterion, and the critical value of Hopf bifurcation is investigated. Based on the center manifold theory and normal form reduction, the stability index of bifurcation solution i...