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 ...

In this paper a method for nonlinear robust stabilization based on solving a bilinear matrix inequality (BMI) feasibility problem is developed. Robustness against model uncertainty is handled. In different non-overlapping regions of the state-space known as clusters the plant is assumed to be an element in a polytope which vertices (local models) are aane systems. In the clusters containing the...

In this paper a method for nonlinear robust stabilization based on solving a bilinear matrix inequality (BMI) feasibility problem is developed. Robustness against model uncertainty is handled. In different non-overlapping regions of the state-space known as clusters the plant is assumed to be an element in a polytope which vertices (local models) are a ne systems. In the clusters containing the...

We address H• state feedback and give a simple form for an optimal control law applicable to linear time invariant systems with symmetric and Hurwitz state matrix. More specifically, the control law as well as the minimal value of the norm can be expressed in the matrices of the system’s state space representation, given separate cost on state and control input. Thus, the control law is transpa...

Extended linearization is the process of factoring a nonlinear system into a linear-like structure x = A(x)x + B(x)u which contains state-dependent coefficient (SDC) matrices. An extended linearization control technique is any technique which (a) treats the SDC matrices A(z) and B(x ) as being constant and (b) uses a linear control synthesis method on the linear-like structure to produce a clos...

A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...

We now illustrate the proposed method to make the eigenvalues of matrix A nonresonant through state feedback. Example: Step 1) Let n = 3.

in this paper, a state feedback h¥ controller is proposed in order to design an active queue management (aqm) system based on congestion control algorithm for networks supporting tcp protocols. in this approach, the available link bandwidth is modeled as a time-variant disturbance. the purpose of this paper is to design a controller which is capable of achieving the queue size and can guarantee...