A partial parameterization of nonlinear output feedback controllers for saturated linear systems

Application of a saturation control method to the transient stabilization of power systems

“…So the design freedom is rather limited if the solution of [2] is applied directly. To resolve this problem, an integrator is included a priori in the controller as shown in Fig.…”

“…The saturation control method of [2] is reviewed brieÀy here. Consider a linear system with input saturation (refer to Fig.…”

“…To apply the saturation control method of [2], we linearize the model around the equilibrium (δ 0 , ω 0 , E q0 , V f 0 ). The error states are de¿ned as…”

“…In this paper, we apply a direct saturation control method proposed by the authors [2] to the power systems. The aim is two folds: establishing a direct control design method accounting for the saturation of exciter and improving the performance.…”

Nonlinear Static State Feedback for Saturated Linear Plants via a Polynomial Approach

“…A parameterized Algebraic Ricatti Equation (ARE) approach had also been used in [6] and extended to Linear Matrix Inequalities (LMI) conditions in [8], to allow one to take into account uncertainty in the model. A valid alternative to our construction is the recent work [12], however only global solutions for non-exponentially unstable plants are given there, whereas here we also address local solution for any type of linear plant. Moreover, our method is radically different from the one of [12] since we rely on polynomial constraints solvable by way of convex sum of squares (SOS) techniques, while [12] relies on the solution of a partial differential matrix inequality.…”