The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform

Anton A. Stoorvogel - One of the best experts on this subject based on the ideXlab platform.

  • Decentralized control of discrete-time linear time invariant systems with input saturation
    2009 American Control Conference, 2009
    Co-Authors: Ciprian Deliu, Babak Malek, Ali Saberi, Anton A. Stoorvogel
    Abstract:

    We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the Closed Unit Disk and further that the eigenvalues on the Unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the open-loop eigenvalues are in the Closed Unit Disk, 2) the eigenvalues on the Unit circle are not decentralized fixed modes, and 3) these eigenvalues on the Unit circle have algebraic multiplicity 1.

  • ACC - Decentralized control of discrete-time linear time invariant systems with input saturation
    2009 American Control Conference, 2009
    Co-Authors: Ciprian Deliu, Babak Malek, Ali Saberi, Sandip Roy, Anton A. Stoorvogel
    Abstract:

    We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the Closed Unit Disk and further that the eigenvalues on the Unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the open-loop eigenvalues are in the Closed Unit Disk, 2) the eigenvalues on the Unit circle are not decentralized fixed modes, and 3) these eigenvalues on the Unit circle have algebraic multiplicity 1.

Manfred Morari - One of the best experts on this subject based on the ideXlab platform.

  • Constrained stabilization of discrete‐time systems
    International Journal of Robust and Nonlinear Control, 1995
    Co-Authors: Venkataramanan Balakrishnan, Alex Zheng, Manfred Morari
    Abstract:

    Based on the growth rate of the set of states reachable with Unit-energy inputs, we show that a discrete-time controllable linear system is globally controllable to the origin with constrained inputs if and only if all its eigenvalues lie in the Closed Unit Disk. These results imply that the constrained Infinite-Horizon Model Predictive Control algorithm is globally stabilizing for a sufficiently large number of control moves if and only if the controlled system is controllable and all its eigenvalues lie in the Closed Unit Disk. In the second part of the paper, we propose an implementable Model Predictive Control algorithm and show that with this scheme a discrete-time linear system with n poles on the Unit Disk (with any multiplicity) can be globally stabilized if the number of control moves is larger than n. For pure integrator systems, this condition is also necessary. Moreover, we show that global asymptotic stability is preserved for any asymptotically constant disturbance entering at the plant input.

  • Stability of model predictive control with mixed constraints
    IEEE Transactions on Automatic Control, 1995
    Co-Authors: A. Zheng, Manfred Morari
    Abstract:

    We derive stability conditions for model predictive control (MPC) with hard constraints on the inputs and "soft" constraints on the outputs for an infinitely long output horizon. We show that with state feedback, MPC is globally asymptotically stabilizing if and only if all the eigenvalues of the open loop system are in the Closed Unit Disk. With output feedback, we show that the results hold if all the eigenvalues are strictly inside the Unit circle. The online optimization problem defining MPC can be posed as a finite dimensional quadratic program even though the output constraints are specified over an infinite horizon. >

  • Stability of model predictive control with soft constraints
    Proceedings of 1994 33rd IEEE Conference on Decision and Control, 1
    Co-Authors: A. Zhang, Manfred Morari
    Abstract:

    We derive stability conditions for model predictive control (MPC) with hard constraints on the inputs and "soft" constraints on the outputs for an infinitely long output horizon. We show that with state feedback MPC is globally asymptotically stabilizing if and only if all the eigenvalues of the open loop system are in the Closed Unit Disk. With output feedback the eigenvalues must be strictly inside the Unit circle. The online optimization problem defining MPC can be posed as a finite dimensional quadratic program even though the output constraints are specified over an infinite horizon. >

  • Controller design with actuator constraints
    [1992] Proceedings of the 31st IEEE Conference on Decision and Control, 1
    Co-Authors: A.g. Tsirukis, Manfred Morari
    Abstract:

    The infinite-horizon model predictive controller (IH-MPC) can globally stabilize discrete linear systems in the presence of actuator constraints as long as their eigenvalues lie in the Closed Unit Disk. These conditions are proven to be necessary and sufficient, i.e., if the system cannot be stabilized by IH-MPC, then there exists no other stabilizing control law. Finally, the form of infinite-horizon optimal controller (IH-OC), which is a limiting case of IH-MPC, coupled with an asymptotic observer is shown to stabilize certain classes of linear systems with output feedback in the presence of asymptotically vanishing disturbances. >

Ciprian Deliu - One of the best experts on this subject based on the ideXlab platform.

  • Decentralized control of discrete-time linear time invariant systems with input saturation
    2009 American Control Conference, 2009
    Co-Authors: Ciprian Deliu, Babak Malek, Ali Saberi, Anton A. Stoorvogel
    Abstract:

    We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the Closed Unit Disk and further that the eigenvalues on the Unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the open-loop eigenvalues are in the Closed Unit Disk, 2) the eigenvalues on the Unit circle are not decentralized fixed modes, and 3) these eigenvalues on the Unit circle have algebraic multiplicity 1.

  • ACC - Decentralized control of discrete-time linear time invariant systems with input saturation
    2009 American Control Conference, 2009
    Co-Authors: Ciprian Deliu, Babak Malek, Ali Saberi, Sandip Roy, Anton A. Stoorvogel
    Abstract:

    We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the Closed Unit Disk and further that the eigenvalues on the Unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the open-loop eigenvalues are in the Closed Unit Disk, 2) the eigenvalues on the Unit circle are not decentralized fixed modes, and 3) these eigenvalues on the Unit circle have algebraic multiplicity 1.

Babak Malek - One of the best experts on this subject based on the ideXlab platform.

  • Decentralized control of discrete-time linear time invariant systems with input saturation
    2009 American Control Conference, 2009
    Co-Authors: Ciprian Deliu, Babak Malek, Ali Saberi, Anton A. Stoorvogel
    Abstract:

    We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the Closed Unit Disk and further that the eigenvalues on the Unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the open-loop eigenvalues are in the Closed Unit Disk, 2) the eigenvalues on the Unit circle are not decentralized fixed modes, and 3) these eigenvalues on the Unit circle have algebraic multiplicity 1.

  • ACC - Decentralized control of discrete-time linear time invariant systems with input saturation
    2009 American Control Conference, 2009
    Co-Authors: Ciprian Deliu, Babak Malek, Ali Saberi, Sandip Roy, Anton A. Stoorvogel
    Abstract:

    We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the Closed Unit Disk and further that the eigenvalues on the Unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the open-loop eigenvalues are in the Closed Unit Disk, 2) the eigenvalues on the Unit circle are not decentralized fixed modes, and 3) these eigenvalues on the Unit circle have algebraic multiplicity 1.

Ali Saberi - One of the best experts on this subject based on the ideXlab platform.

  • Decentralized control of discrete-time linear time invariant systems with input saturation
    2009 American Control Conference, 2009
    Co-Authors: Ciprian Deliu, Babak Malek, Ali Saberi, Anton A. Stoorvogel
    Abstract:

    We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the Closed Unit Disk and further that the eigenvalues on the Unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the open-loop eigenvalues are in the Closed Unit Disk, 2) the eigenvalues on the Unit circle are not decentralized fixed modes, and 3) these eigenvalues on the Unit circle have algebraic multiplicity 1.

  • ACC - Decentralized control of discrete-time linear time invariant systems with input saturation
    2009 American Control Conference, 2009
    Co-Authors: Ciprian Deliu, Babak Malek, Ali Saberi, Sandip Roy, Anton A. Stoorvogel
    Abstract:

    We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation, using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization impose obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the Closed Unit Disk and further that the eigenvalues on the Unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that stabilization is possible whenever 1) the open-loop eigenvalues are in the Closed Unit Disk, 2) the eigenvalues on the Unit circle are not decentralized fixed modes, and 3) these eigenvalues on the Unit circle have algebraic multiplicity 1.