This paper is concerned with a proportional plus derivative (PD) state feedback control problem for discrete and continuous descriptor linear systems. We aim to design a (PD) state feedback controller which guarantees the stability of closed-loop system. The existence of such a controller is determined by developing a necessary and sufficient condition in terms of LMIs. Then, the desired PD sta...

The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, where accelerometers have been used to measure the system state. Using linear matrix inequalities LMIs and a parameter-dependent Lyapunov functions PDLF allowed by Finsler’s lemm...

linear state bisection is introduced as a new method to find time-invariant state feedback control laws for a special form of underactuated nonlinear systems. the specialty of the systems considered is that every unactuated state should be coupled with at least two directly actuated states. the basic idea is based on bisecting actuated states and using linear combinations with adjustable parame...

Regularizability of a linear descriptor system via output plus partial state derivative feedback is studied. Necessary and sufficient conditions are obtained, which are only dependent upon the open-loop coefficient matrices. It is also shown that under these necessary and sufficient conditions, “almost all” output plus partial state derivative feedback controllers can regularize a regularizable...