Optimal control of interconnected systems with time-correlated noises: Application to vehicle platoon

Automatica ◽  
2021 ◽  
pp. 110018
Author(s):  
Yan Wang ◽  
Rong Su ◽  
Bohui Wang
Keyword(s):  
Optimal Control ◽  
Interconnected Systems ◽  
Vehicle Platoon ◽  
Correlated Noises

Distributed optimal control for continuous-time nonaffine nonlinear interconnected systems

2021 ◽  
pp. 1-15
Author(s):  
Behzad Farzanegan ◽  
Amir Abolfazl Suratgar ◽  
Mohammad Bagher Menhaj ◽  
Mohsen Zamani
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Interconnected Systems ◽  
Distributed Optimal Control

A decentralized observer-based optimal control for interconnected systems using the block pulse functions

2020 ◽  
Vol 42 (15) ◽  
pp. 3063-3075
Author(s):  
Soumaya Ghali ◽  
Abdelaziz Benallegue ◽  
Salwa Elloumi
Keyword(s):  
Optimal Control ◽  
Large Scale ◽  
Control Method ◽  
Interconnected Systems ◽  
Mathematical Programming Problem ◽  
Interconnected System ◽  
Control Approach ◽  
Block Pulse Functions ◽  
Primary Focus ◽  
Decentralized Observer

The paper proposes a method to integrate numerically an interconnected system, based on an idea of orthogonal approximation of functions. Here, block pulse functions (BPFs) are chosen as the orthogonal set. The main advantage of using this technique is its ability to transform the original optimal control problem to a mathematical programming problem relatively easier to solve. The primary focus of this paper is to exploit and rigorously develop the BPFs parametrization technique for the synthesis of a decentralized observer-based optimal control for large-scale interconnected systems. In addition, we develop a mathematical model of a double-parallel inverted pendulum coupled by a spring, taking into account all possible changes of the connecting position of the elastic spring. In so doing, we conducted advanced simulations applying the new optimal control method to the studied interconnected system. Our results demonstrate the validity and the effectiveness of the developed decentralized observer-based optimal control approach.

Robust Distributed Filters Design for Discrete-time Spatially Interconnected Systems with LFT Uncertainties

2020 ◽  
pp. 2150159
Author(s):  
Hongyan Feng ◽  
Wenhui Liu ◽  
Hui Chen
Keyword(s):  
Discrete Time ◽  
Interconnected Systems ◽  
Necessary Condition ◽  
Well Posedness ◽  
Bilinear Transformation ◽  
Quadratic Stability ◽  
Vehicle Platoon ◽  
Spatially Interconnected Systems ◽  
Well Posed ◽  
Sufficient And Necessary Condition

In this paper, we investigate discrete-time uncertain spatially interconnected systems (USISs), where uncertainties are modeled by linear fractional transformation (LFT). First, the well-posedness, quadratic stability and contractiveness of discrete-time USISs are introduced. Second, a sufficient condition is proposed to guarantee that discrete-time USISs are well-posed, quadratically stable and contractive. Then, a more tractable condition is derived to check the well-posedness, quadratic stability and contractiveness of discrete-time USISs via a modified bilinear transformation. Besides, the robust distributed filters which inherit the structure of the plants are designed. A sufficient and necessary condition is presented to guarantee the existence of the robust distributed filters. Finally, a vehicle platoon model demonstrates the effectiveness of the proposed scheme.

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