Feedback design for a second order control system leads to an eigenstructure assignment problem for a quadratic matrix polynomial. It is desirable that the feedback controller not only assigns specified eigenvalues to the second order closed loop system, but also that the system is robust, or insensitive to perturbations. We show that robustness of the quadratic inverse eigenvalue problem can b...

We describe a new convex quadratic programming bound for the quadratic assignment problem (QAP). The construction of the bound uses a semideenite programming representation of a basic eigenvalue bound for QAP. The new bound dominates the well-known projected eigenvalue bound, and appears to be competitive with existing bounds in the tradeoo between bound quality and computational eeort.

A novel and efficient approach for the eigenvalue assignment of large, first-order, time-invariant systems is developed using full-state feedback and output feedback. The full-state feedback approach basically consists of three steps. First, a Schur decomposition is applied to triangularize the state matrix. Second, a series of coordinate rotations (Givens rotations) is used to move the eigenva...

DC microgrids (MGs) are complex systems connecting a number of renewable energy sources to different types loads based on distributed networks. However, the strong reliance communication networks makes MGs vulnerable intentional cyber-attacks. In this paper, attack detection scheme is presented for MG system by proposing an observer. The proposed detector able detect attacks with only local kno...

A new result that allows the selection of sliding hyperplane coeecients in Observer-Based Discrete-Time Sliding Mode Control (OBDSMC) is presented. Selection of co-eecients is done by analyzing the tracking error dynamics inside the boundary layer-where the closed-loop system has a linear state feedback connguration-rather than assuming that the sliding function has already converged to zero. T...