Nonlinear time-delay anti-windup compensator synthesis for nonlinear time-delay systems: A delay-range-dependent approach

Simultaneous design of AWC and nonlinear controller for uncertain nonlinear systems under input saturation

“…The closed‐loop system may progress to some undesired operating conditions with the possibility that, when the actuator saturation finishes, it may not return to the ordinary operating condition. Actuator saturation is a limitation of practical systems because actuators cannot transmit an unconstrained energy signal, producing saturation or windup effects …”

“…The first method is the two‐step methodology, in which a dynamic controller is tuned without considering actuator saturation effects, and then, an additional anti‐windup compensator (AWC) is augmented in the closed‐loop control system to mitigate the windup effects. This approach occupies a noteworthy portion of the literature . However, this technique is often criticized owing to its conservatism and poor closed‐loop performance.…”

“…Anti‐windup compensation for linear systems is a well‐established subject. Both the one‐step and two‐step approaches have been widely studied to compensate the saturation effects in stable and unstable linear and nonlinear control systems. Numerous techniques and tools are available for designing AWCs for linear control systems along with successful applications to laboratory setups, such as a disk drive, ball‐and‐beam system, and wireless networks .…”

“…Recently, many researchers have shown an active interest in designing AWCs for nonlinear systems, and many design methodologies are proposed in the literature. We can refer, for example, to the AWC design for Euler‐Lagrange nonlinear systems, feedback‐linearizable nonlinear systems, dynamic inversion‐based nonlinear systems, Lipschitz nonlinear plants, rational nonlinear systems, uncertain nonlinear systems, Lur'e nonlinear models, Takagi‐Sugeno systems, and nonlinear time‐delay prototypes . Most recently, anti‐windup designs for linear parameter‐varying (LPV) systems were proposed .…”

“…The controller design problem for switched and sampling systems was investigated in the works of Ma et al and Yang et al, respectively. The technique in the work of Hussain and Rehan proposes AWC synthesis for constrained nonlinear time‐delay systems by employing a delay‐range‐dependent methodology. Furthermore, an internal model control–based AWC and decoupled and equivalent decoupled‐based anti‐windup compensation architectures were schematized for Lipschitz nonlinear time‐delay systems.…”