On Time Optimal Control of Integrator Switched Systems with State Constraints
نویسندگان
چکیده
In this paper, time optimal control problems of a class of integrator switched systems with polyhedral state constraint subsets are studied. We first develop a directed graph representation of the system discrete structure. Based on the graph representation, we generate candidate solution paths and propose an algorithm for seeking the optimal solution. A linear programming method for finding the optimal timing information for each path is then proposed. Finally, we report preliminary results on some sufficient conditions and techniques which help reduce the number of candidate paths.
منابع مشابه
A Linear Programming Approach to Time Optimal Control of Integrator Switched Systems with State Constraints
In this paper, time optimal control problems of a class of integrator switched systems with polyhedral state constraint subsets are studied. We first develop a directed graph representation of the system discrete structure. Based on the graph representation, we generate candidate solution paths and propose an algorithm for seeking the optimal solution. A linear programming method for finding th...
متن کاملOptimal Finite-time Control of Positive Linear Discrete-time Systems
This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...
متن کاملA new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem
Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...
متن کاملOptimal control of switched systems by a modified pseudo spectral method
In the present paper, we develop a modified pseudospectral scheme for solving an optimal control problem which is governed by a switched dynamical system. Many real-world processes such as chemical processes, automotive systems and manufacturing processes can be modeled as such systems. For this purpose, we replace the problem with an alternative optimal control problem in which the switching t...
متن کاملA new approach based on state conversion to stability analysis and control design of switched nonlinear cascade systems
In this paper, the problems of control and stabilization of switched nonlinear cascade systems is investigated. The so called simultaneous domination limitation (SDL) is introduced in previous works to assure the existence of a common quadratic Lyapunov function (CQLF) for switched nonlinear cascade systems. According to this idea, if all subsystems of a switched system satisfy the SDL, a CQLF ...
متن کامل