The results developed in this note also apply to multiinput multioutput systems using unity-rank output feedback matrices. Example: For the system [I] A. Jameson, "Design of singbinput systems for specilied roots using output feedback," IEEE Tram. Automat. Conrr., vol. AC-15, pp. 345-348, 1970. [Z] E. J. Davison, "On pole assignment in linear systems with incomplete state feedback," IEEE Tram. ...

Abstrac:-. New technique of robust pole assignment based on angle criterion of root locus for plant with interval parameters is proposed. The proposed approach allows to assign the dominant pole domains of interval system with guaranteed stability margin and damping ratio. The other pole localization domains assigns to the required regions on the base of D – partition technique. The uncertainti...

The minimum-gain eigenvalue assignment/pole placement problem (MGEAP) is a classical in linear time-invariant systems with static state feedback. In this article, we study the MGEAP when feedback has arbitrary sparsity constraints. We formulate sparse as an equality-constrained optimization and present analytical characterization of its locally optimal solution terms eigenvector matrices closed...

This paper establishes new results regarding control problems for parametrized families of pairs ( 'systems') {(A(x), B(x)),xeX}, where A(x) is an n x n and B(x) is an n x m real matrix for each x (with n,m fixed integers), and the parameter x belongs to a manifold X. To be found is a new parametrized family {K(x),x~X} such that a given design criterion is satisfied by the closed-loop matrix A(...

In this paper, it is clearly shown that the two well-known necessary and sufficient conditions mp ≥ n as generic static output feedback pole-assignment and mp + d(m+p) ≥ n+d as generic minimum d-th order dynamic output feedback pole-assignment on complex field , unbelievably, do not match up each other in strictly proper linear systems. For the analysis, a diagram analysis is newly created (whi...

We consider the classic problem of pole placement by state feedback. We offer an eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing feedback matrix that can deliver any set of desired closed-loop eigenvalues, with any desired multiplicities. This parametric formula is then exploited to introduce an unconstrained nonlinear optimisation algorithm to obtain ...