Choosing Poles So That the Single-Input Pole Placement Problem Is Well Conditioned
نویسندگان
چکیده
منابع مشابه
Choosing Poles so That the Single-input Pole Placement Problem Is Well Conditioned∗
We discuss the single-input pole placement problem (SIPP) and analyze how the conditioning of the problem can be estimated and improved if the poles are allowed to vary in specific regions in the complex plane. Under certain assumptions we give formulas as well as bounds for the norm of the feedback gain and the condition number of the closed loop matrix. Via several numerical examples we demon...
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For the solution of the single-input pole placement problem we derive explicit expressions for the feedback gain matrix as well as the eigenvector matrix of the closed-loop system. Based on these formulas we study the conditioning of the pole-placement problem in terms of perturbations in the data and show how the conditioning depends on the condition number of the closed loop eigenvector matri...
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For the solution of the multi-input pole placement problem we derive explicit formulas for the subspace from which the feedback gain matrix can be chosen and for the feedback gain as well as the eigenvector matrix of the closed-loop system. We discuss which Jordan structures can be assigned and also when diagonalizability can be achieved. Based on these formulas we study the conditioning of the...
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has the desired specifications. The main role of state feedback control is to stabilize a given system so that all closed-loop eigenvalues are placed in the left half of the complex plane. The following theorem gives a condition under which is possible to place system poles in the desired locations. Theorem 8.1 Assuming that the pair is controllable, there exists a feedback matrix such that the...
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Abstract— The pole placement is one of the most important methods for designing controller for linear systems. In this paper work a procedure for solving the pole-placement problem for a linear time-invariant single-input/single output (SISO) systems by state-derivative feedback is described. Pole placement design to place all closed-loop poles at desired locations. In this paper, we shall prov...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 1998
ISSN: 0895-4798,1095-7162
DOI: 10.1137/s0895479896302382