Boolean-controlled systems via receding horizon and linear programing
نویسنده
چکیده
We consider dynamic systems controlled by boolean signals or decisions. We show that in a number of cases, the receding horizon formulation of the control problem can be solved via linear programming by relaxing the binary constraints on the control. The idea behind our approach is conceptually easy: a feasible control can be forced by imposing that the boolean signal is set to one at least one time over the horizon. We translate this idea into constraints on the controls and analyze the polyhedron of all feasible controls. We specialize the approach to the stabilizability of switched and impulsively-controlled systems.
منابع مشابه
On control of discrete-time state-dependent jump linear systems with probabilistic constraints: A receding horizon approach
In this article, we consider a receding horizon control of discrete-time state-dependent jump linear systems, particular kind of stochastic switching systems, subject to possibly unbounded random disturbances and probabilistic state constraints. Due to a nature of the dynamical system and the constraints, we consider a one-step receding horizon. Using inverse cumulative distribution function, w...
متن کاملOptimal Receding Horizon Filter for Continuous-Time Nonlinear Stochastic Systems
A receding horizon filtering problem for nonlinear continuous-time stochastic systems is considered. The paper presents the optimal receding horizon filtering equations. Derivation of the equations is based on the Kushner-Stratonovich and Fokker-Planck-Kolmogorov equations for conditional and unconditional density functions. This result could be a theoretical basis for the optimal control in no...
متن کاملOffset-free Receding Horizon Control of Constrained Linear Systems
This paper addresses the design of a dynamic state feedback receding horizon controller, which guarantees robust constraint satisfaction, robust stability and offset-free control of constrained linear systems in the presence of time-varying setpoints and unmeasured disturbances. This objective is obtained by first designing a dynamic linear offset-free controller and computing an appropriate do...
متن کاملStochastic Receding Horizon Control: Stability Results
We present new results on stochastic stability of linear discrete-time systems with additive uncertainty under several receding horizon control policies. We guarantee bounded variance of the closed-loop system under each policy via appending a stability constraint to the existing optimization routine of the corresponding policy.
متن کاملImpulsively-controlled systems and reverse dwell time: a linear programming approach
We present a receding horizon algorithm that converges to the exact solution in polynomial time for a class of optimal impulse control problems with uniformly distributed impulse instants and governed by so-called reverse dwell time conditions. The cost has two separate terms, one depending on time and the second monotonically decreasing on the state norm. The obtained results have both theoret...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- MCSS
دوره 21 شماره
صفحات -
تاریخ انتشار 2009