Robust Partial Quadratic Eigenvalue Assignment in Second-Order Control Systems
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چکیده
In this paper we consider the robust partial quadratic eigenvalue assignment problem for second-order control systems by state feedback. To simultaneously reduce the feedback norms and the sensitivity of the close-loop eigenvalues, we formulate the problem as an unconstraint minimization problem for a new proposed cost function. An explicit analytic expression of the gradient of the cost function is provided via a Sylvester equation-based parametrization. Thus we can solve the minimization problem efficiently by using gradient-based techniques. Numerical tests are also reported to illustrate our results.
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