In previous lectures, we discussed the design of state feedback controllers using using eigenvalue (pole) placement algorithms. For single input systems, given a set of desired eigenvalues, the feedback gain to achieve this is unique (as long as the system is controllable). For multi-input systems, the feedback gain is not unique, so there is additional design freedom. How does one utilize this...

Recall from Chapter 4, that there are significant difficulties in maintaining modulator performance throughout the power conversion stage. It is essential to reduce the sensitivity to the diverse non-ideal effects, in order to improve performance and make system design practical. Obviously, the fundamental design goal must be a perfect reproduction of the amplified reference such that demodulat...

The regularity of Lagrange multipliers for state-constrained optimal control problems belongs to the basic questions of control theory. Here, we investigate bottleneck problems arising from optimal control problems for PDEs with certain mixed control-state inequality constraints. We show how to obtain Lagrange multipliers in L p-spaces for linear problems and give an application to linear parab...

In practice, all physical processes exhibit some non-linear behaviour. Furthermore, when a process shows strong non-linear behaviour, a linear model may be inadequate; a non-linear model will be more realistic. Unfortunately, this improved closeness to reality is attained at a cost: the convenience and simplicity offered by the linear model is sacrificed. Since many processes exhibit only mildl...

this paper undertakes the synthesis of a logic-based switching h2/h∞ state-feedback controller for continuous-time lti singular perturbation systems. our solution achieves a minimum bound on the h2 performance level, while also satisfying the h∞ performance requirements. the proposed hybrid control scheme is based on a fuzzy supervisor managing the combination of two controllers. a convex lmi-b...