Average Dwell Time Based Smooth Switching Linear Parameter-Varying Proportional-Integral-Derivative Control for an F-16 Aircraft

Considering two types of delays including both time-varying delay and parameter varying delay in continuous switched linear parameter varying systems, the problem of [Formula: see text] filtering under average dwell time switching is illustrated. The [Formula: see text] filter depending on the linear time-varying parameter [Formula: see text] (mode-dependent parameterized filter) is designed at first. Then, based on multiple Lyapunov function and an improved reciprocally convex inequality, the corresponding existence sufficient conditions for the filter could ensure the obtained filter error system exponentially stable with a guaranteed [Formula: see text] performance in the form of linear matrix inequalities. In addition, the designed filter gains under allowed switching signals are computed via the proposed convex optimal algorithm. In the end, two numerical examples show the effectiveness of the results in this work.

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Robust tracking controller design for active dolly steering

Proceedings of the Institution of Mechanical Engineers Part D Journal of Automobile Engineering ◽

10.1177/0954407017704779 ◽

2017 ◽

Vol 232 (5) ◽

pp. 695-706 ◽

Cited By ~ 1

Author(s):

Balázs Varga ◽

Balázs Kulcsár ◽

Leo Laine ◽

Manjurul Islam ◽

Balázs Németh

Keyword(s):

Controller Design ◽

Domain Analysis ◽

Linear Parameter ◽

Proportional Integral Derivative ◽

Steering Control ◽

Steering Angle ◽

Linear Parameter Varying ◽

Proportional Integral Derivative Controller ◽

Proportional Integral ◽

Parameter Varying

In this paper, different actuation level steering control methods for an A-double vehicle combination (tractor–semitrailer–dolly–semitrailer) are proposed. The aim of the paper is to show the viability of advanced actuation control strategies for a practical vehicular application. Three different types of robust controller are proposed: a robust proportional–integral–derivative controller, an output feedback linear ℋ∞ controller and an induced ℒ2-norm minimizing linear parameter-varying controller. All controllers are augmented with anti-windup compensators to respect the steering-angle limit and the steering-rate limit. Each model-based controller robustly rejects external disturbances and tracks a reference steering angle generated by the motion control system. Frequency-domain analysis and time-domain analysis prove that the ℋ∞ controller and the linear parameter-varying controller outperform the proportional–integral–derivative controller in terms of reference tracking and disturbance rejection. Comparative simulation scenarios are provided on the basis of the high-fidelity vehicle simulator developed by Volvo Group Trucks Technology.

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Fault detection for switched linear parameter-varying systems: an average dwell-time approach

IET Control Theory and Applications ◽

10.1049/iet-cta.2012.0832 ◽

2013 ◽

Vol 7 (8) ◽

pp. 1120-1130 ◽

Cited By ~ 15

Author(s):

Jian Li ◽

Guang-Hong Yang

Keyword(s):

Fault Detection ◽

Dwell Time ◽

Average Dwell Time ◽

Linear Parameter ◽

Linear Parameter Varying ◽

Linear Parameter Varying Systems ◽

Parameter Varying

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A proportional–integral-based robust state-feedback control method for linear parameter-varying systems and its application to aircraft

Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering ◽

10.1177/0954410018822366 ◽

2019 ◽

Vol 233 (12) ◽

pp. 4663-4675 ◽

Cited By ~ 2

Author(s):

Bixuan Huang ◽

Bei Lu ◽

Qifu Li

Keyword(s):

State Feedback ◽

Linear Matrix ◽

Matrix Inequality ◽

Linear Parameter ◽

Integral Control ◽

Linear Parameter Varying ◽

Proportional Integral ◽

Proportional Integral Derivative Control ◽

Parameter Varying ◽

Proportional Integral Control

The integration of advanced linear parameter-varying and classical proportional–integral–derivative control methods has attracted great attention in control of nonlinear dynamic systems. However, linear parameter-varying proportional–integral–derivative control synthesis is a nonconvex bilinear matrix inequality problem. Although the synthesis conditions can be convexified in the case of proportional–integral control, a strong constraint on the structure of matrix variables usually leads to infeasible solutions. In this paper, a linear parameter-varying proportional–integral control design method is proposed to remove that constraint. The approach is based on the assumption of state-feedback proportional–integral control to guarantee the linear matrix inequality variables to be full matrices instead of block diagonal matrices, and extended linear matrix inequalities are proposed to synthesize the controller. This increases the likelihood of finding feasible linear matrix inequality solutions and reduces the conservatism. The proposed method is applied to control longitudinal and lateral dynamics of an F-16 aircraft and promising simulation results are obtained.

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