作者:
Cai ChaohongGoebel RafalG. Sanfelice RicardoR. Teel AndrewDepartment of Electrical and Computer Engineering
University of California Santa Barbara CA USA Center for Control
Dynamical Systems and Computation Department of Electrical and Computer Engineering University of California Seattle WA USA Seattle
WA USA Center for Control
Dynamical Systems and Computation Department of Electrical and Computer Engineering University of California Santa Barbara CA 93106-9560 USA. E-mail: rsanfelice@ece.ucsb.edu Center for Control
Dynamical Systems and Computation Department of Electrical and Computer Engineering University of California Santa Barbara CA 93106-9560 USA. E-mail: teel@ece.ucsb.edu
Modeling issues for hybrid dynamicalsystems are discussed and fundamental stability analysis tools are summarized. These tools are useful for the development of hybrid control algorithms.
Modeling issues for hybrid dynamicalsystems are discussed and fundamental stability analysis tools are summarized. These tools are useful for the development of hybrid control algorithms.
We identify a novel class of distributed optimization problems, namely a networked version of abstract linear programming. For such problems we propose distributed algorithms for networks with various connectivity and...
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ISBN:
(纸本)9781424414970;1424414970
We identify a novel class of distributed optimization problems, namely a networked version of abstract linear programming. For such problems we propose distributed algorithms for networks with various connectivity and/or memory constraints. Finally, we show how various minimum-time formation control problems can be tackled through appropriate geometric examples of abstract linear programs.
We present novel algorithms to control underactuated mechanical systems. For a class of invariant systems on Lie groups, we design iterative small-amplitude control forces to accelerate along, decelerate along, and st...
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ISBN:
(纸本)9781424414970
We present novel algorithms to control underactuated mechanical systems. For a class of invariant systems on Lie groups, we design iterative small-amplitude control forces to accelerate along, decelerate along, and stabilize relative equilibria. The technical approach is based upon a perturbation analysis and the design of inversion primitives and composition methods. We illustrate the algorithms on an underactuated planar rigid body and on a satellite with two thrusters.
Modeling issues for hybrid dynamicalsystems are discussed and fundamental stability analysis tools are *** tools are useful for the development of hybrid control algorithms.
Modeling issues for hybrid dynamicalsystems are discussed and fundamental stability analysis tools are *** tools are useful for the development of hybrid control algorithms.
A smooth patchy control Lyapunov function for a nonlinear control system consists of an ordered family of smooth local control Lyapunov functions, whose open domains form a locally finite cover of the state space of t...
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A smooth patchy control Lyapunov function for a nonlinear control system consists of an ordered family of smooth local control Lyapunov functions, whose open domains form a locally finite cover of the state space of the system, and which satisfy a certain arrangement property. In contrast to (Goebel et al., IEEE CDC, 2006), on each intersection of the domains, we do not impose a decrease condition of the local control Lyapunov functions when the index increases. We show a construction, based on such a patchy control Lyapunov function, of a stabilizing hybrid feedback that is robust to measurement noise. Copyrighte 2007 IFAC
作者:
Savla, KetanBullo, FrancescoCenter for Control
Dynamical Systems and Computation University of California at Santa Barbara 2338 Engineering Bldg II Santa BarbaraCA93106-5070 United States
We consider a formation control problem for a robotic network with limited communication and controlled motion abilities. We propose a novel control structure that organizes the robots in concentric layers and that as...
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ISBN:
(纸本)9781604237924
We consider a formation control problem for a robotic network with limited communication and controlled motion abilities. We propose a novel control structure that organizes the robots in concentric layers and that associates to each layer a local leader. Through a load balancing algorithm on the asynchronous network of layers we allocate the desired number of robots on each layer. A final uniform spreading algorithm leads the robots to a lattice-like formation. This novel distributed communication and control algorithm runs in linear time in the worst case.
In this paper we study minimum-time motion planning and routing problems for the Dubins vehicle, i.e., a nonholonomic vehicle that is constrained to move along planar paths of bounded curvature, without reversing dire...
ISBN:
(纸本)9780262693486
In this paper we study minimum-time motion planning and routing problems for the Dubins vehicle, i.e., a nonholonomic vehicle that is constrained to move along planar paths of bounded curvature, without reversing direction. Motivated by autonomous aerial vehicle applications, we consider the Traveling Salesperson Problem for the Dubins vehicle (DTSP): given n points on a plane, what is the shortest Dubins tour through these points and what is its length? Specifically, we study a stochastic version of the DTSP where the n targets are randomly sampled from a uniform distribution. We show that the expected length of such a tour is of order at least n2/3 and we propose a novel algorithm yielding a solution with length of order n2/3 with high probability. Additionally, we study a dynamic version of the DTSP: given a stochastic process that generates target points, is there a policy which guarantees that the number of unvisited points does not diverge over time? If such stable policies exist, what is the minimum expected time that a newly generated target waits before being visited by the vehicle? We propose a novel stabilizing algorithm such that the expected wait time is provably within a constant factor from the optimum.
We give an elementary proof of the fact that, for continuous-time systems, it is impossible to use (even discontinuous) pure state feedback to achieve robust global asymptotic stabilization of a disconnected set of po...
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We give an elementary proof of the fact that, for continuous-time systems, it is impossible to use (even discontinuous) pure state feedback to achieve robust global asymptotic stabilization of a disconnected set of points or robust global regulation to a target while avoiding an obstacle. Indeed, we show that arbitrarily small, piecewise constant measurement noise can keep the trajectories away from the target. We give a constructive, Lyapunov-based hybrid state feedback that achieves robust regulation in the above mentioned settings
For hybrid closed-loop systems arising from hybrid control of nonlinear systems, we show that the sample-and-hold implementation of the hybrid controller preserves (semiglobally and practically) the stability properti...
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ISBN:
(纸本)1424401704;9781424401703
For hybrid closed-loop systems arising from hybrid control of nonlinear systems, we show that the sample-and-hold implementation of the hybrid controller preserves (semiglobally and practically) the stability properties of the closed-loop system. We provide a general model for the hybrid closed-loop system where the hybrid controller is implemented digitally and it is interfaced to the nonlinear system through sample and hold devices. We model the sample device and the digital controller/hold device as single asynchronous hybrid systems with independent timing constants and data. The main result is established by means of a Lyapunov function for the hybrid closed-loop system resulting from the interconnection of its hybrid and nonlinear subsystems
In this paper we propose some novel path planning strategies for a double integrator with bounded velocity and bounded control inputs. First, we study the following version of the Traveling Salesperson Problem (TSP): ...
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ISBN:
(纸本)1424401704;9781424401703
In this paper we propose some novel path planning strategies for a double integrator with bounded velocity and bounded control inputs. First, we study the following version of the Traveling Salesperson Problem (TSP): given a set of points in Ropf d , find the fastest tour over the point set for a double integrator. We first give asymptotic bounds on the time taken for to complete such a tour in the worst-case. Then, we study a stochastic version of the TSP for double integrator where the points are randomly sampled from a uniform distribution in a compact environment in Ropf 2 and Ropf 3 . We propose novel algorithms that perform within a constant factor of the optimal strategy with high probability. Second, we study a dynamic TSP: given a stochastic process that generates targets, is there a policy which guarantees that the number of unvisited targets does not diverge over time? If such stable policies exist, what is the minimum wait for a target? We propose novel stabilizing algorithms whose performances are within a constant factor from the optimum, in Ropf 2 as well as in Ropf 3 . We also argue that these algorithms give similar performances for a particular nonholonomic vehicle, the Dubins vehicle
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