The aim of this investigation is to construct an adaptive observer and an adaptive compensator for a class of infinitedimensional plants having a known exogenous input and a structured perturbation with an unknown constant parameter, such as the case of static output feedback with an unknown gain. The adaptive observer uses the nominal dynamics of the unperturbed plant and an adaptation law bas...

1 Uncertainty and Lyapunov Redesign Consider the system [1] ẋ = f(t, x) +G(t, x)[u+ δ(t, x, u)], (1) where x ∈ Rn is the state and u ∈ Rp is the control input. The functions f,G, and δ are defined for (x, u) ∈ D × Rp, where D ⊂ Rn contains the origin. The functions f,G and δ are piece-wise continuous and Lipschitz in x and u. We assume that f and G are known while δ is unknown and represents th...

The Lyapunov stability method is the most popular and applicable stability analysis tool of nonlinear dynamic systems. However, there are some bottlenecks in the Lyapunov method, such as need for negative definiteness of the Lyapunov function derivative in the direction of the system’s solutions. In this paper, we develop a new theorem to dispense the need for negative definite-ness of Lyapunov...

In this paper a comprehensive approach is presented to improve power swings damping based on direct Lyapunov method. The approach combines superconducting magnetic energy storage (SMES) system with static synchronous compensator (STATCOM). Considering the energy absorption/injection ability of SMES, in transient states the combination exchanges both active and reactive powers with power system....

The neutron density is one of the most important dynamical parameters in a reactor. It is directly related to the control and stability of the reactor power. Any change in applied reactivity and some of dynamical parameters in the reactor causes a change in the neutron density. Lyapunov exponent method is a powerful tool for investigating the range of stability and the transient behavior of the...

The redesign of output feedback controllers for linear systems based on adaptive saturation (stubborn) and dead-zone is investigated by showing that input-to-state stability holds in closed loop upon the satisfaction matrix inequalities. Such results are obtained using sector conditions involved Lyapunov analysis order to ensure stability. A simulation case study shows effectiveness proposed de...

UKM Mebel Berkah Raya is a company engaged in the field of furniture, one products produced Sofa products. The large number competitors who are company's competitors, makes it difficult for to compete with similar on market, therefore, conducts preliminary survey involving loyal customers owned by Raya, order find out desires sofa products, especially that Raya. data obtained shows problem prod...