ℒ2- gain control of time-delay systems with actuator saturation

Abstract

Disturbance attenuation problem in terms of ℒ 2- gain for continuous linear time-delay (LTD) systems with nonzero initial conditions, time-varying delays and saturating control is addressed where the disturbances acting on the system are with bounded energy. First, a group of sufficient conditions in terms of bilinear matrix inequalities (BMIs) are obtained. Then, to solve this problem, cone complementary linearization method is adopted to the problem. The proposed method utilizes convex description of nonlinear saturation phenomenon by means of convex hull of some linear feedback which leads to a few additional ellipsoidal conditions in terms of linear matrix inequalities (LMIs). The validity of the method is illustrated through some examples at the end.

Keywords

Control theory (sociology) Linearization Bounded function Mathematics Nonlinear system Attenuation Linear system Saturation (graph theory) Convex optimization Bilinear interpolation Ellipsoid Feedback linearization Actuator Bilinear transform Convex hull Linear matrix inequality Regular polygon Computer science Mathematical optimization Mathematical analysis Control (management) Physics Combinatorics Filter (signal processing)

Subject Areas

Stability and Control of Uncertain Systems ·Control and Systems Engineering ·Physical Sciences

Stability and Controllability of Differential Equations ·Control and Systems Engineering ·Physical Sciences

Neural Networks Stability and Synchronization ·Computer Networks and Communications ·Physical Sciences

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ℒ2- gain control of time-delay systems with actuator saturation

Abstract

Keywords

Subject Areas

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References (20)

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