access icon free Adaptive fuzzy optimal control for a class of active suspension systems with full-state constraints

© The Institution of Engineering and Technology
Received 17/03/2019, Accepted 25/09/2019, Revised 14/08/2019, Published 01/10/2019

In this study, an adaptive fuzzy inverse optimal control problem is investigated for a class of vehicle active suspension systems. Since active suspension systems have dynamic characteristics of complexities and spring non-linearities, the fuzzy logic systems are utilised to learn the unknown non-linear dynamics. In addition, there exist the constraints of the displacements of the sprung and unsprung masses, vertical vibration speeds, and current intensity in the considered suspension system, therefore, the Barrier Lyapunov functions are introduced into the control design to ensure that the full-state constraints are not overstepped. The inverse optimal control method is adopted by constructing an auxiliary system, which circumvents the assignment of solving a Hamilton–Jacobi–Bellman equation and brings about an inverse optimal controller associated with a meaningful objective functional. Based on Lyapunov stability theory and backstepping recursive design algorithm, a fuzzy adaptive optimal control scheme is developed. It is proved that the proposed control scheme not only guarantees that the vertical vibration of the vehicle is stabilised by the electromagnetic actuator but also achieves the goal of inverse optimality with regard to the cost functional. Finally, the simulation studies check the validity of the presented control strategy.

Inspec keywords: Lyapunov methods; adaptive control; control system synthesis; optimal control; control nonlinearities; fuzzy control; suspensions (mechanical components); road vehicles; nonlinear control systems

Other keywords: fuzzy adaptive optimal control scheme; auxiliary system; adaptive fuzzy inverse optimal control problem; fuzzy logic systems; Barrier Lyapunov functions; vertical vibration speeds; control design; vehicle active suspension systems; inverse optimality; spring nonlinearities; nonlinear dynamics; full-state constraints; inverse optimal controller; inverse optimal control method

Subjects: Optimal control; Nonlinear control systems; Mechanical components; Fuzzy control; Stability in control theory; Road-traffic system control; Control technology and theory (production); Control system analysis and synthesis methods; Self-adjusting control systems

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