This chapter designs a non-fragile H_∞ controller for a class of active suspension systems with actuator uncertainty. By using Lyapunov stability theory, a nonfragile controller is designed for the purpose of ensuring that the resulting active suspension system is asymptotically stable with a prescribed H_∞ disturbance attenuation level. The designed non-fragile H_∞ controller is constructed via convex optimization by guaranteeing its sufficient condition in terms of feasible linear matrix inequalities (LMIs). Simulation results are given to show the effectiveness of the proposed control approach.

Chapter Contents:

• Abstract
• 5.1 Introduction
• 5.2 Problem formulation
• 5.3 Main results
• 5.4 Simulation results
• 5.5 Conclusion
• References

Inspec keywords: control system synthesis; asymptotic stability; suspensions (mechanical components); automobiles; linear matrix inequalities; actuators; convex programming; H∞ control; Lyapunov methods; uncertain systems

Other keywords: linear matrix inequalities; convex optimization; active control; active suspension systems; actuator uncertain half-car suspension systems; asymptotic stability; Lyapunov stability theory; nonfragile H_∞ controller design; H_∞ disturbance attenuation level; LMI

Subjects: Control system analysis and synthesis methods; Optimisation techniques; Algebra; Control technology and theory (production); Road-traffic system control; Optimal control; Optimisation; Mechanical components; Algebra; Vehicle mechanics; Stability in control theory; Actuating and final control devices