Journal ArticleDOI
Constrained optimal control of switched systems based on modified BFGS algorithm and filled function method
TLDR
A modified Broyden-Fletcher-Goldfarb-Shanno algorithm and a discrete filled function method is first proposed to solve an optimal control problem of switched systems with a continuous-time inequality constraint.Abstract:
In this paper, we consider an optimal control problem of switched systems with a continuous-time inequality constraint. Because of the complexity of this constraint, it is difficult to solve this problem by standard optimization techniques. To overcome this difficulty, the problem is divided into a bi-level optimization problem involving a combination of a continuous-time optimal control problem and a discrete optimization problem. Then, a modified Broyden-Fletcher-Goldfarb-Shanno algorithm and a discrete filled function method is first proposed to solve this bi-level optimization problem. Finally, a numerical example is presented to illustrate the efficiency of our method.read more
Citations
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Journal ArticleDOI
Optimal control of constrained switched systems and application to electrical vehicle energy management
TL;DR: A numerically tractable method is provided to solve the optimal control problem of constrained switched systems with input and state constraints and is transformed into a nonlinear parameter optimization problem, which can be solved by using any gradient-based optimization method.
Journal ArticleDOI
A new filled function method for unconstrained global optimization
TL;DR: A new filled function which is continuous and differentiable without any parameter to tune is proposed which has three advantages: firstly, it is not easier to produce extra local minima, secondly, more efficient local search algorithms using gradient information can be applied and thirdly, a continuous andDifferentiable filled function can be optimized more easily.
Journal ArticleDOI
Optimal switching control for drug therapy process in cancer chemotherapy
TL;DR: This paper obtains an equivalent optimal control problem of constrained nonlinear system by using the time-scaling transformation, the smoothing technique, and the idea of l1 penalty function method, which is transformed into a nonlinear parameter optimization problem.
Journal ArticleDOI
Three-dimensional trajectory design for horizontal well based on optimal switching algorithms.
Xiang Wu,Kanjian Zhang +1 more
TL;DR: Convergence results show that, for a sufficiently large penalty parameter, any local optimal solution of the approximate problem is also a local optimal Solution of the original problem.
Journal ArticleDOI
Hybrid stochastic optimization method for optimal control problems of chemical processes
TL;DR: Four chemical process system optimal control problems illustrate that the hybrid numerical optimization algorithm proposed by us is low CPU time and obtains a better cost function value than the existing approaches.
References
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Book
Numerical Optimization
Jorge Nocedal,Stephen J. Wright +1 more
TL;DR: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization, responding to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems.
Journal ArticleDOI
Stability analysis of networked control systems
TL;DR: A novel control network protocol, try-once-discard (TOD), is introduced for multiple-input-multiple-output (MIMO) networked control systems (NCSs), and an analytic proof of global exponential stability is provided for both the new protocol and the more commonly used (statically scheduled) access methods.
Journal ArticleDOI
A unified framework for hybrid control: model and optimal control theory
TL;DR: This work introduces a mathematical model of hybrid systems as interacting collections of dynamical systems, evolving on continuous-variable state spaces and subject to continuous controls and discrete transitions, and develops a theory for synthesizing hybrid controllers for hybrid plants in all optimal control framework.
Stability Analysis of Networked Control Systems
TL;DR: Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science Electrical Engineering The University of New Mexico Albuquerque, New Mexico August, 2003 Stability Analysis of Networked Control Systems by Peter F.S.
Journal ArticleDOI
Convergence Conditions for Ascent Methods. II
TL;DR: In this article, the authors give liberal conditions on the steps of a "descent" method for finding extrema of a function and show that most known results are special cases.