Suboptimal target control for hybrid automata using model predictive control

Pang, Yan; Spathopoulos, M.P.; Xia, Hao

doi:10.1016/j.na.2005.12.025

Cited by 2 publications

(1 citation statement)

References 33 publications

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“…In order to sustain the two-stoke cycle of the FPEC with a specified piston motion profile, we have to design a control system to control the timing of injection of the fuel and the opening and closing of the valves and also the electro-magnetic force. In this paper, this problem is analyzed in the hybrid system framework [14]. A hybrid system is a system that exhibits both discrete state and continuous state dynamics.…”

Section: Introductionmentioning

confidence: 99%

Hybrid controller design of a free-piston energy converter

Pang

Xia

2014

JAE

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A Free Piston Energy Converter (FPEC) is a combination of a linear combustion engine and a linear electrical machine. It is a potential technology for series hybrid vehicles, as well as stationary power generation applications. In a free piston energy converter, the piston is not connected to a crank-shaft. Instead, the piston movement is "free" and controlled by a linear hydraulic or electric machine. The major advantages of such a design over the conventional ones are the simpler engine layout and much improved conversion efficiency. Unlike other traditional modeling method, in this paper, the free piston converter is modeled as a hybrid automaton. A hierarchical hybrid controller is designed based on this model. The hybrid controller includes a discrete controller which is in charge of switching actions and a continuous controller which compute the electro-magnetic force. High-fidelity simulation results are provided to illustrate the applicability and performance of developed control law.

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Section: Introductionmentioning

confidence: 99%

Hybrid controller design of a free-piston energy converter

Pang

Xia

2014

JAE

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Reachability and optimal control for linear hybrid automata: a quantifier elimination approach

Pang

Spathopoulos

Xia

2007

International Journal of Control

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This paper considers an optimal control problem for linear hybrid automata (LHA). First, we present a controller synthesis algorithm based on reachability analysis. The algorithm computes the maximal initial set from which the controller drives the system to a given target set. It is shown that, using quantifier elimination (QE), an under-approximation of the maximal reachable set can be derived. Next, a weighted time-optimal control problem is solved by transforming it into a constrained optimization problem whose constraints are a set of inequalities with quantifiers. Quantifier elimination (QE) techniques are employed in order to derive the quantifier free inequalities that are shown to be linear. Thus, the optimal cost is obtained using linear programming. For any state belonging to the maximal initial set the optimal switching times and the optimal continuous control inputs are computed. These are used in order to derive a hybrid controller which is optimal with respect to the cost function. Our results are applied to an air traffic management example which is of practical interest

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Suboptimal target control for hybrid automata using model predictive control

Cited by 2 publications

References 33 publications

Hybrid controller design of a free-piston energy converter

Hybrid controller design of a free-piston energy converter

Reachability and optimal control for linear hybrid automata: a quantifier elimination approach

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