Robust Proportional-Integral-Derivative Controller Design for Stable/Integrating Processes with Inverse Response and Time Delay

2012 ◽  
Vol 51 (6) ◽  
pp. 2652-2665 ◽  
Author(s):  
Jyh-Cheng Jeng ◽  
Sheng-Wen Lin
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Proportional Integral Derivative ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral ◽  
Inverse Response

Robust optimal proportional–integral–derivative controller design for a class of uncertain second-order delay-free and time-delay systems

2021 ◽  
pp. 107754632110055
Author(s):  
Abolfazl Simorgh ◽  
Abolhassan Razminia ◽  
Vladimir I Shiryaev
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Order Approximation ◽  
Second Order ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Proportional Integral Derivative ◽  
Linear Quadratic ◽  
Proportional Integral Derivative Controller ◽  
Proportional Integral

The second-order systems can capture the dynamics of a vast majority of industrial processes. However, the existence of uncertainty in second-order approximation of such processes is inevitable because the approximation may not be accurate or the operating condition changes, resulting in performance degradation or even instability. This article aims at designing a novel robust proportional–integral–derivative controller for the uncertain second-order delay-free and time-delay systems in an optimal manner. The method is simple, effective, and can efficiently improve the performance of the uncertain systems. The approach is based on the linear quadratic theory, in which by adding a new matrix in the quadratic cost function regarding the uncertainties, the stability of the perturbed system is guaranteed and proven for both time-delay and delay-free second-order cases. The comparison with the recent works in the literature supports the effectiveness of the proposed methodology.

Robust tracking controller design for active dolly steering

2017 ◽  
Vol 232 (5) ◽  
pp. 695-706 ◽  
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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