Low gain feedback for fractional-order linear systems and semi-global stabilization in the presence of actuator saturation

Optimal Static Output Feedback Stabilization of Fractional-Order Systems With Caputo Derivative Order 1 ≤ α < 2

“…Consider the following fractional-order system: The goal is to find a static output feedback gain 𝐹 with minimal ‖𝐹‖ to stabilize the system (20). Choose the weighting factor 𝜌 = 5 in ( 16) and 𝑄 0 = 𝐼 in (17) which implies that the closed-loop system is asymptotically stable.…”

“…In synthesizing controllers of linear control systems, the Frobenius norm of the designed feedback matrix is often targeted for minimization. Low-gain controllers have been demonstrated in many studies to be desirable due to their ability to reduce control signal saturation in practical control systems and offer several advantages including robustness to nonlinearity and uncertainty, energy efficiency, prevention of saturation, and enhanced control performance (see [17][18][19][20][21][22][23]). Recently, [20,24] have considered the low-gain condition in the design of controllers for fractional-order systems.…”

“…Low-gain controllers have been demonstrated in many studies to be desirable due to their ability to reduce control signal saturation in practical control systems and offer several advantages including robustness to nonlinearity and uncertainty, energy efficiency, prevention of saturation, and enhanced control performance (see [17][18][19][20][21][22][23]). Recently, [20,24] have considered the low-gain condition in the design of controllers for fractional-order systems. In [20], the authors significantly advanced the field of fractional-order linear systems by developing a novel lowgain state feedback controller based on a unique eigenstructure assignment algorithm.…”

“…Recently, [20,24] have considered the low-gain condition in the design of controllers for fractional-order systems. In [20], the authors significantly advanced the field of fractional-order linear systems by developing a novel lowgain state feedback controller based on a unique eigenstructure assignment algorithm. In [24] the authors constructed the stability condition through the small gain theorem and used it to design the corresponding LMIs for controller design.…”

Distance-Based Formation Control for Fixed-Wing UAVs with Input Constraints: A Low Gain Method

“…The low gain design technique has been proved to be an effective idea in coping with input-constrained problems of linear systems [35][36][37][38]. Although distance-based formation control is considered a complex nonlinear problem, the idea of low gain techniques can still bring new perspectives or new thinking.…”