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Quadratic stabilization and control of piecewise-linear systems
Piecewise linear system the controller the lyapunov function the program
2015/8/11
We consider analysis and controller synthesis of piecewise-linear systems. The method is based on constructing quadratic and piecewise-quadratic Lyapunov functions that prove stability and performance...
Nonlinear Q-design for convex stochastic control
Nonlinear dynamic controller discrete linear constraint convex function parameters are random
2015/8/7
In this note we describe a version of the Q-design method that can be used to design nonlinear dynamic controllers for a discrete-time linear time-varying plant, with convex cost and constraint functi...
Fast evaluation of quadratic control-Lyapunov policy
Quadratic lyapunov function quadratic programming the solution and optimization method computationally intensive control application
2015/8/7
The evaluation of a control-Lyapunov policy, with quadratic Lyapunov function, requires the solution of a quadratic program (QP) at each time step. For small problems this QP can be solved explicitly;...
Performance bounds and suboptimal policies for linear stochastic control via LMIs
dynamic programming stochastic control convex optimization
2015/8/7
In a recent paper, the authors showed how to compute performance bounds for infinite horizon stochastic control problems with linear system dynamics and arbitrary constraints, objective, and noise dis...
A perspective-based convex relaxation for switched-affine optimal control
Switched-affne systems optimal control mixed-integer convex programming hybrid systems disjunctive programming.
2015/8/7
We consider the switched-affine optimal control problem, i.e., the problem of selecting a sequence of affine dynamics from a finite set in order to minimize a sum of convex functions of the system sta...
Optimal Control of Problems Governed by Obstacle Type Variational Inequalities：A Dual Regularization-Penalization Approach
Variational Inequalities Optimal Control Dual Methods Penalization Methods
2009/1/23
In this paper we investigate optimal control problems governed by variational inequalities. We give optimality conditions under classical assumptions using a dual regularized functional to interpret t...
Turnpike Theorem for Convex Infinite Dimensional Discrete-Time Control Systems
Turnpike property Banach space convex function generic function
2009/1/23
In this work we study the structure of "approximate" solutions for an infinite dimensional discrete-time optimal control problem determined by a convex function $v: K \times K \to R^1$, where $K$ is a...
Dynamical Shape Control in Non-cylindrical Navier-Stokes Equations
Dynamical Shape Control Non-cylindrical Navier-Stokes Equations
2009/1/22
This paper deals with a dynamical shape control problem. The state equations are the non-cylindrical Navier-Stokes equations with a non-homogenous Dirichlet condition. The goal is to compute a necessa...
Optimality Conditions for Constrained Convex Parabolic Control Problems via Duality
Optimality Conditions Constrained Convex Parabolic Control via Duality
2009/1/13
The optimality system is given for a phase-constrained control problem governed by a linear parabolic equation. The control may act on the boundary and the cost function may depend on the boundary val...