H ∞ output-feedback LPV control for systems with input saturation

Model Predictive Control Algorithm Based on Off-Line Region Dependency

“…Also, the procedure is repeated at each subsequent instant (see [4,5]). Over last few years, considerable research has been performed in the area to stabilize systems with physical limits on actuation (see [6][7][8][9][10][11][12][13][14]). Specification for developing such a constrained MPC algorithm is described well in [13].…”

“…Let the control input be given by U + −1 and ( + | ) = ( + | ), ≥ . Then, the optimization problem(14) can be solved by the following semidefinite programming:min , , ,U + −1 1 + 2(28) subject to (10), (22), (24), (25), and (27), where the feedback gain is given by = −1 . Here, the proposed MPC algorithm, if initially feasible, robustly asymptotically stabilizes the closedloop system.…”

H∞LPV Control with Pole Placement Constraints for Synchronous Buck Converters with Piecewise-Constant Loads

“…This paper addresses the output regulation problem of synchronous buck converters with piecewise-constant load fluctuations. To consider the presence of such load fluctuations, we derive an output-error state-space model in the form of linear parameter varying (LPV) systems [19][20][21], thereby converting the underlying regulation problem into the stabilization problem. Here, it is worth noticing that a mismatch error that temporally arises from the process of generating a feedforward control is clearly incorporated into the LPV model and it is attenuated by the H ∞ -synthesis technique [22,23].…”

A time efficient nonlinear tracking controller

“…A continuous globally stable tracking control algorithm is proposed for a spacecraft in the presence of unknown actuator failure, control input saturation, uncertainty in inertial matrix and external disturbances [7]. H ∞ output-feedback linear parameter varying control for systems subject to input saturation constrain are discussed in [8]. A Lyapunov function-based polytopic control law is introduced.…”

“…A Lyapunov function-based polytopic control law is introduced. Further, reference [8] proposes a method that is capable of applying the information on interpolation parameters appearing in the procedure of representing saturation nonlinearity as convex polytope. An adaptive robust control (ARC) for DC motors subjected to parametric uncertainties, disturbances and input saturation is considered in [9].…”