Analysis and design of output feedback control systems in the presence of actuator saturation

Abstract

In this paper, a dynamic output feedback controller design approach based on cone complementary linearisation procedure is proposed for linear time-invariant (LTI) systems with actuator saturation. Firstly, the estimation of domain of attraction is given. Then, a design method to find a larger estimation of domain of attraction is presented. In the process of design, nonconvex conditions are obtained, so a cone complementary linearisation procedure is exploited to solve the nonconvex feasibility problem. Two examples are given to illustrate the efficiency of the design method.

Pressure Control of Insulation Space for Liquefied Natural Gas Carrier with Nonlinear Feedback Technique

“…This method had a simple and direct effect. Guan et al [12] designed a controller with dynamic output feedback on a cone complementary linearization procedure. This controller is used in a linear time-invariant system (LTI) with actuator saturation.…”

“…If the time delay is considered, e −τs in Equation (4) can be expressed with the 1st order Padé approximation as follows. e −τs ≈ 1 1 + τs (12) In order to reduce the impact of pure time delay, the denominator of Equation (12) is added to Equation (13). Then, u is the controller designed finally.…”

Dynamic Output Feedback Robust MPC with Input Saturation Based on Zonotopic Set-Membership Estimation

“…where is the performance cost; (17) is the stability/optimality condition; (18) is the augmented state constraint; (19) guarantees the auxiliary feedback controller does not saturate; (20) is the output constraint; Q and R are the positive-definite weighting matrices; satisfies the following conditions:…”

“…Similar to the constraint on the auxiliary feedback controller in [2,22,23], the satisfaction of (19) guarantees that the auxiliary feedback controller does not saturate such that the saturated output feedback controller can be represented by the convex hull as (9). The constraint on the actual dynamic output feedback controller is not considered in the main optimization problem.…”

“…Different from [15,16], we assume that the system is under nominal operation and control actuator faults are not considered. The saturated dynamic output feedback controller is expressed by a convex hull involving the parameter-dependent form of both the actual dynamic output feedback controller and the auxiliary feedback controller, which is different from the saturated output feedback controller in [1,19,20]. The parameterdependent form of controller can help to formulate the main optimization problem as convex optimization.…”