Results 1  10
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14
Optimal Control of Switched Autonomous Systems
 IEEE Conference on Decision and Control, Las Vegas, NV
, 2002
"... In this paper, optimal control problems for switched autonomous systems are studied. In particular, we focus on problems in which a prespecified sequence of active subsystems is given and propose an approach to finding the optimal switching instants. The approach derives the derivatives of the cos ..."
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Cited by 32 (1 self)
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In this paper, optimal control problems for switched autonomous systems are studied. In particular, we focus on problems in which a prespecified sequence of active subsystems is given and propose an approach to finding the optimal switching instants. The approach derives the derivatives of the cost with respect to the switching instants and uses nonlinear optimization techniques to locate the optimal switching instants. The approach is then applied to general quadratic problems for switched linear autonomous systems and to reachability problems. Examples illustrate the results. 1
Optimal control of continuoustime switched affine systems
 IEEE TRANSACTIONS ON AUTOMATIC CONTROL
, 2006
"... This paper deals with optimal control of switched piecewise affine autonomous systems, where the objective is to minimize a performance index over an infinite time horizon. We assume that the switching sequence has a finite length, and that the decision variables are the switching instants and the s ..."
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Cited by 26 (5 self)
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This paper deals with optimal control of switched piecewise affine autonomous systems, where the objective is to minimize a performance index over an infinite time horizon. We assume that the switching sequence has a finite length, and that the decision variables are the switching instants and the sequence of operating modes. We present two different approaches for solving such an optimal control problem. The first approach iterates between a procedure that finds an optimal switching sequence of modes, and a procedure that finds the optimal switching instants. The second approach is inspired by dynamic programming and identifies the regions of the state space where an optimal mode switch should occur, therefore providing a state feedback control law.
A masterslave algorithm for the optimal control of continuoustime switched affine systems
 In Proc. 41th IEEE Conf. on Decision and Control, Las Vegas
, 2002
"... For continuoustime switched affine systems, this paper proposes an approach for solving infinitehorizon optimal control problems where the decision variables are the switching instants and the sequence of operating modes. The procedure iterates between a "master " procedure that finds a ..."
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Cited by 13 (3 self)
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For continuoustime switched affine systems, this paper proposes an approach for solving infinitehorizon optimal control problems where the decision variables are the switching instants and the sequence of operating modes. The procedure iterates between a "master " procedure that finds an optimal switching sequence of modes, and a "slave" procedure that finds the optimal switching instants. 1
Synthesis of statefeedback optimal controllers for continuous time switched linear systems
 In Proc. 41th IEEE Conf. on Decision and Control, Las Vegas
, 2002
"... The paper deals with the optimal control of switched piecewise linear autonomous systems, where the objective is to minimize a performance index over an infinite time horizon. We assume that the switching sequence has a finite length: the unknown switching times and the switching sequence are the o ..."
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Cited by 10 (4 self)
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The paper deals with the optimal control of switched piecewise linear autonomous systems, where the objective is to minimize a performance index over an infinite time horizon. We assume that the switching sequence has a finite length: the unknown switching times and the switching sequence are the optimization parameters. We also assume that a cost may be associated to each switch. The optimal control for this class of systems takes the form of a state feedback, i.e., it is possible to identify a set of regions of the state space such that an optimal switch should occur if and only if the present state belongs to one of them. We show how the tables containing these regions can be computed offline through a numerical procedure. 1
An Iterative Algorithm for the Optimal Control of Continuous–Time Switched Linear Systems
"... For continuoustime switched linear systems, this paper proposes an approach for solving infinitehorizon optimal control problems where the decision variables are the switching instants and the sequence of operating modes. The procedure iterates between a “master ” procedure that finds an optimal ..."
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Cited by 6 (2 self)
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For continuoustime switched linear systems, this paper proposes an approach for solving infinitehorizon optimal control problems where the decision variables are the switching instants and the sequence of operating modes. The procedure iterates between a “master ” procedure that finds an optimal switching sequence of modes, and a “slave ” procedure that finds the optimal switching instants. The effectiveness of the approach is shown through simple simulation examples. 1
Optimal Control of Switched Hybrid Systems: A Brief Survey
 INTERDISCIPLINARY STUDIES IN INTELLIGENT SYSTEMS
, 2011
"... Switched systems are a particular class of hybrid systems consisting of several subsystems and a switching law specifying the active subsystems at each time instant. Examples of switched systems can be found in chemical engineering, automotive systems, and electrical circuit systems, to name a few. ..."
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Cited by 2 (1 self)
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Switched systems are a particular class of hybrid systems consisting of several subsystems and a switching law specifying the active subsystems at each time instant. Examples of switched systems can be found in chemical engineering, automotive systems, and electrical circuit systems, to name a few. The problem of determining optimal control laws for hybrid systems and in particular for switched systems,
Hybrid Modeling and Optimal Control of a TwoTank System as a Switched System
"... Abstract—In the past decade, because of wide applications of hybrid systems, many researchers have considered modeling and control of these systems. Since switching systems constitute an important class of hybrid systems, in this paper a method for optimal control of linear switching systems is desc ..."
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Abstract—In the past decade, because of wide applications of hybrid systems, many researchers have considered modeling and control of these systems. Since switching systems constitute an important class of hybrid systems, in this paper a method for optimal control of linear switching systems is described. The method is also applied on the twotank system which is a much appropriate system to analyze different modeling and control techniques of hybrid systems. Simulation results show that, in this method, the goals of control and also problem constraints can be satisfied by an appropriate selection of cost function. Keywords—Hybrid systems, optimal control, switched systems, twotank system I.