Solving Nonlinear Algebraic Loops Arising in Input-Saturated Feedbacks

This note proposes static anti-windup gains design for closed-loop linear systems with saturating inputs providing maximized non-ellipsoidal estimates of the basin of attraction. The proposed design uses sign-indefinite quadratic forms leading to locally positive definite nonquadratic Lyapunov functions. An iterative algorithm that solves the bilinear matrix conditions inherent to this problem is proposed, based on a convexconcave decomposition. A numerical application is presented to illustrate the effectiveness of the proposed method.

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Solving Nonlinear Algebraic Loops Arising in Input-Saturated Feedbacks

Cited by 2 publications

References 47 publications

Static Linear Anti-Windup Design With Sign-Indefinite Quadratic Forms

Static Linear Anti-Windup Design With Sign-Indefinite Quadratic Forms

Local Static Anti-Windup Design With Sign-Indefinite Quadratic Forms

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