Adaptive control refers to the control of systems that have poorly known parameters but a well modeled structure. The adaptive control of linear, time-invariant systems is well understood. However, for systems with multiple inputs and multiple outputs the adaptive controller is of high order and complex making the approach inapplicable in a number of practical problems. In this thesis a new app...

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...

Let M be a complex matrix of rank one, i.e. M = pq′ where p, q are complex nby-1 matrices and ′ denotes Hermitean conjugation. Let μC(M) and μR(M) denote the structured singular values μ(M,∆) of M defined with ∆ = ∆C and ∆ = ∆R respectively, where ∆C is the cone of all diagonal matrices with complex entries, and ∆R is the cone of all diagonal matrices with real entries. (a) Express μC(M) and μR...

The contribution is focused on a control design and simulation of multi input output (MIMO) linear continuous-time systems. Suitable and efficient tools for description and controller derivation are algebraic notions as rings, polynomial matrices, and Diophantine equations. The generalized MIMO PI controller design is studied for stable and unstable systems. A unified approach through matrix Di...

Most processes in industry are complex mul-tivariable systems with nonlinear and time-varying dynamics. These processes are often diicult to model. However, often much expert knowledge and process data is available. Fuzzy modeling and control techniques can eeciently integrate this information. However, most of the systems considered in literature are of low-order and SISO or MISO systems. For ...

This paper applies multivariable linear quadratic Gaussian (LQG) control strategies to a proton exchange membrane fuel cell (PEMFC) system. From the system point of view, a PEMFC can be modeled as a two-input-two-output system, where the inputs are air and hydrogen flow rates and the outputs are cell voltage and current. By fixing the output resistance, we aimed to control the cell voltage outp...