In this paper, the design of linear active disturbance rejection control (LADRC) for high order systems is presented and the frequency response is analyzed. First, the LADRC for minimum-phase processes is introduced, and the parameterization of tuning paramters, which reduces the tuning parameters to controller bandwidth and observer bandwidth, is given. With the transfer function of the LADRC,...

Through considering a large scale single-input, single-output dynamical linear system, we are led to the task of finding a suitable reduced-order model corresponding to that system. Equivalently, we need to successfully approximate the system’s so-called transfer function. To approximate the transfer function the PVL method considers the Lanczos process and its close knit connection to Padé app...

The Laplace transform plays a important role in control theory. It appears in the description of linear time invariant systems, where it changes convolution operators into multiplication operators and allows to define the transfer function of a system. The properties of systems can be then translated into properties of the transfer function. In particular, causality implies that the transfer fu...

We derive a Fourier-domain Wiener filter for the reconstruction of undersampled imagery. The filter differs from previous implementations in that it permits adjustment of the trade-offs between sharpness of the reconstruction, noise amplification, and aliasing artifact suppression. Additionally, a net transfer function that characterizes the combined effects of the imaging system and the recons...

in this paper, an optimization problem with a linear objective function subject to a consistent finite system of fuzzy relation inequalities using the max-product composition is studied. since its feasible domain is non-convex, traditional linear programming methods cannot be applied to solve it. we study this problem and capture some special characteristics of its feasible domain and optimal s...

in this paper, we introduce a satisfaction function (sf) to compare interval values on the basis oftseng and klein’s idea. the sf estimates the degree to which arithmetic comparisons between two intervalvalues are satisfied. then, we define two other functions called lower and upper sf based on the sf. weapply these functions in order to present a new interpretation of inequality constraints wi...

To estimate the Cation Exchange Capacity (CEC), indirect manner used of Pedotransfer Functions (PTFs). CEC is one of the important soil fertility factors, and not measured directly because it is costly and time consuming. Thus, used from regression equations between easily and non-easily soil properties. The purpose of this research, is develop the PTFs for CEC, with use of easily available soi...