In this paper, the control parametrization enhancing technique (CPET) is applied to obtain numerical solution to a special class of ordinary differential equations where the right-hand side has state dependent discont...
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In this paper, the control parametrization enhancing technique (CPET) is applied to obtain numerical solution to a special class of ordinary differential equations where the right-hand side has state dependent discontinuities. Switching locations corresponding to these discontinuities can be calculated exactly and conveniently. Illustrative examples are provided to demonstrate the novel technique.
Active suspension control strategy design in vehicle suspension systems has been a popular issue in road vehicle applications. In this paper, we consider a quarter-car suspension problem. A nonlinear objective functio...
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Active suspension control strategy design in vehicle suspension systems has been a popular issue in road vehicle applications. In this paper, we consider a quarter-car suspension problem. A nonlinear objective function together with a system of state-dependent ODEs is involved in the model. A differential equation approximation method, together with the controlparametrizationenhancing transform (CPET), is used to find the optimal proportional-integral-derivative (PID) feedback gains of the above model. Hence, an approximated optimal control problem is obtained. Proofs of convergences of the state and the optimal control of the approximated problem to those of the original optimal control problem are provided. A numerical example is solved to illustrate the efficiency of our method.
In this paper, we consider a class of non-standard time optimal control problems involving a dynamical system consisting of multiple subsystems evolving over different time horizons. Different subsystems are required ...
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In this paper, we consider a class of non-standard time optimal control problems involving a dynamical system consisting of multiple subsystems evolving over different time horizons. Different subsystems are required to reach their respective target sets at different termination times. The goal is to minimize the maximum of these termination times. By introducing a discrete variable to represent the system termination ordering, were formulate this problem as a discrete optimization problem. A discrete filled function method is developed to solve this discrete optimization problem. For illustration, a numerical example is solved. (C) 2008 Elsevier Ltd. All rights reserved.
Motivated by the recent developments of the control parametrization enhancing technique (CPET), a novel method for solving a general class of nonlinear mixed integer programming problems is introduced in this paper. B...
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Motivated by the recent developments of the control parametrization enhancing technique (CPET), a novel method for solving a general class of nonlinear mixed integer programming problems is introduced in this paper. By imposing appropriate dynamics as well as a set of statistical variance type of functional constraints, a problem with mixed integer decision variables is first transformed into a discrete-valued optimal control problem, and then transformed, by applying CPET, into a standard optimization problem involving only continuous values. (C) 1998 Elsevier Science Ltd. All rights reserved.
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