Non-fragile multi-objective static output feedback control of vehicle active suspension with time-delay

Abstract

This paper presents an approach to design a delay-dependent non-fragile H ∞ /L 2 -L ∞ static output feedback (SOF) controller for active suspension with input time-delay. The control problem of quartercar active suspension with actuator time-delay is formulated to a H ∞ /L 2 -L ∞ control problem. By employing a delay-dependent Lyapunov function, new existence conditions of delay-dependent nonfragile SOF H ∞ controller and L 2 -L ∞ controller are derived, respectively, in terms of the feasibility of bilinear matrix inequalities (BMIs). Then, a procedure based on linear matrix inequality optimisation and a hybrid algorithm of the particle swarm optimisation and differential evolution is used to solve an optimisation problem with BMI constraints. Design and simulation results of non-fragile H ∞ /L 2 -L ∞ controller for active suspension show that the designed controller not only can achieve the optimal performance and stability of the closed-loop system in spite of the existence of the actuator time-delay, but also has significantly improved the non-fragility characteristics over controller perturbations.

Comfort-enhanced vibration control for delayed active suspensions using relaxed inequalities

“…A nonfragile control method was suggested for suspensions with input delay. 21 These H 1 design methods were all confirmed to be effective for systems with input delay.…”

“…In recent years, it has attracted the attention of a large number of scholars. [13][14][15][16][17][18][19][20][21][22] A robust polytopic type L 2 controller has been designed for an uncertain quarter vehicle suspension. 13 A noniteration feedback method has been developed for active suspension systems with finite-frequency constraint.…”

“…In the previous suspension control studies, some methods were used for estimating the upper bound of these integral terms, including the Jensen, Park, and Moon inequalities. 19,21 However, applications of these frequently used methods are conservative, as these methods have difficulty in providing a tight upper bound of the integral term. Recently, some novel integral inequalities, such as the Wirtinger-based inequality, reciprocally convex inequality, and Bessel-Legendre inequality (BLI), have been suggested to reduce the estimated gap during criterion deriving.…”

Adaptive control of a nonlinear suspension with time-delay compensation

“…However, the results are inapplicable with respect to the control of nonlinear car-suspensions. The key for predictive control of nonlinear cars lies in the collection of road information using the front tires, which enables predictive control of the rear tires [23][24][25][26][27][28]. In this case, there is no predictive control of the front suspension, so the control effect of the entire car is affected.…”

Robust Nonfragile H∞ Control of Lateral Semiactive Suspension of Rail Vehicles

“…Therefore, it is necessary to comprehensively analyze the uncertainty of the controller when designing a semiactive suspension robust controller [11]. So that the stability of the controller can have a strong tolerance to the perturbation of the parameters that is to ensure that the controller is nonfragile [12][13][14][15].…”