Piecewise affine systems controllability and hybrid optimal control
نویسنده
چکیده
We consider a particular class of hybrid systems, defined by a piecewise affine dynamic over non-overlapping regions of the state space. We want to control their behaviors so that it reaches a target by minimizing a given cost. We provide a new numerical algorithm under-approximating the controllable domain under the given hybrid dynamic. Given an optimal sequence of states of the hybrid automaton, we are then able to traverse the automaton till the target, locally insuring optimality.
منابع مشابه
Hybrid model predictive control of a nonlinear three-tank system based on the proposed compact form of piecewise affine model
In this paper, a predictive control based on the proposed hybrid model is designed to control the fluid height in a three-tank system with nonlinear dynamics whose operating mode depends on the instantaneous amount of system states. The use of nonlinear hybrid model in predictive control leads to a problem of mixed integer nonlinear programming (MINLP) which is very complex and time consuming t...
متن کاملOn Oscillations Damping and Control for a Class of Affine Systems
The paper considers a class of continuous affine systems with oscillating behaviour due to the presence of pairs of complex eigenvalues in the spectrum of the system matrix. The control problem consists of damping the oscillations and tracking a piecewise constant reference signal. A control solution is proposed, based on pole placement combined with the internal model principle. Sufficient con...
متن کاملMathematical Cybernetics: Hybrid, Stochastic and Decentralized Systems
We consider partially observed stochastic dynamical systems whose state equations are of McKean-Vlasov type SDE and hence contain a measure term where the measure term is also random. Such SDEs are used to model the state dynamics of the agents in Mean Field Games framework with Major and Minor agents. We present nonlinear filtering equations in both normalized and unnormalized forms and, for s...
متن کاملDesigning a novel structure of explicit model predictive control with application in a buck converter system
This paper proposes a novel structure of model predictive control algorithm for piecewise affine systems as a particular class of hybrid systems. Due to the time consuming and computational complexity of online optimization problem in MPC algorithm, the explicit form of MPC which is called Explicit MPC (EMPC) is applied in order to control of buck converter. Since the EMPC solves the optimizati...
متن کاملObservability and controllability of piecewise affine and hybrid systems
In this paper we prove, in a constructive way, the equivalence between hybrid and piecewise afine systems. By focusing our investigation on the latter class, we show through counterexamples that observability and controllability properties cannot be easily deduced from those of the component linear subsystems. Instead, we propose practical numerical tests based on mixedinteger linear programming.
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:
دوره شماره
صفحات -
تاریخ انتشار 2005