Modular multilevel converters (MMCs) have enabled new and demanding applications for power electronics in the high voltage/high range. In these applications, very fast tight control of all variables MMC is prime importance. This article presents a multivariable (MVC) concept, which enables independent extremely essential variables. For each variable, tolerance band can be specified, strictly me...

Motivated by the seminal theorem of Kharitonov on robust stability of interval polynomials[1, 2], a number of papers on robustness analysis of uncertain systems have been published in the past few years[3, 4, 5, 6, 7, 8, 9, 10]. Kharitonov’s theorem states that the Hurwitz stability of the real (or complex) interval polynomial family can be guaranteed by the Hurwitz stability of four (or eight)...

The design of multivariable ripple-free deadbeat controllers is a complex task. One approach which has shown promise for solving multivariable ripple-free deadbeat control (MRFDC) problems is the use of Diophantine equation parameters. The problem of solving robust multivariable ripple free deadbeat with time delays has not been solved. This paper proposes a hybrid two degree of freedom control...

Using an adaptation of Qin Jiushao’s method from the 13th century, it is possible to prove that a system of linear modular equations ai1xi + · · · + ainxn = ~bi mod ~ mi, i = 1, . . . , n has integer solutions if mi > 1 are pairwise relatively prime and in each row, at least one matrix element aij is relatively prime to mi. The Chinese remainder theorem is the special case, where A has only one...

In this paper we use radial basis functions to solve multivariable integral equations. We use collocation method for implementation. Numerical experiments show the accuracy of the method.