In this work,a finite-horizon optimal control problem for first-order plus time delay(FOPTD) processes is *** show that if the control horizon is greater than three and the prediction horizon is great than the control...
详细信息
In this work,a finite-horizon optimal control problem for first-order plus time delay(FOPTD) processes is *** show that if the control horizon is greater than three and the prediction horizon is great than the control horizon plus the time delay in discrete time,the optimal controller is not affected by either of the two ***,under these conditions,the controller parameters are explicitly calculated,the closed-loop system is shown to be stable,and the controller is *** problem considered is related to the results on linear quadratic regulation of linear systems with time delays;however,the detailed parameterization of the state-space model introduced by the FOPTD process provides an additional opportunity to investigate the exact controller structure and properties(e.g.,the locations of the closed-loop poles),which are also the major difficulties encountered and overcome in this *** problem is motivated from phenomena experienced in designing industrial model predictive control(MPC) tuning algorithms,and extensive numerical examples indicate that the proposed results speed up the MPC autotuning algorithms by 70%.
Sums-of-squares techniques have played an important role in optimization and control. One question that has attracted a lot of attention is to exploit sparsity in order to reduce the size of sum-of-squares programs. I...
详细信息
ISBN:
(纸本)9781479978878
Sums-of-squares techniques have played an important role in optimization and control. One question that has attracted a lot of attention is to exploit sparsity in order to reduce the size of sum-of-squares programs. In this paper we consider the problem of finding sparse sum-of-squares certificates for functions defined on a finite abelian group G. In this setting the natural basis over which to measure sparsity is the Fourier basis of G (also called the basis of characters of G). We establish combinatorial conditions on subsets S and T of Fourier basis elements under which nonnegative functions with Fourier support S are sums of squares of functions with Fourier support T. Our combinatorial condition involves constructing a chordal cover of a graph related to G and S with maximal cliques related to T. These techniques allow us to show that any nonnegative quadratic function in binary variables is a sum of squares of functions of degree at most [n/2], resolving a conjecture of Laurent [11]. They also allow us to show that any nonnegative function of degree d on G = Z_N has a sum-of-squares certificate supported on at most 3d log(N/d) Fourier basis elements. By duality this construction yields the first explicit family of polytopes in increasing dimensions that have a semidefinite programming description that is vanishingly smaller than any linear programming description.
We consider a joint sensor and controller design problem for linear Gaussian stochastic systems in which a weighted sum of quadratic control cost and the amount of information acquired by the sensor is minimized. This...
详细信息
ISBN:
(纸本)9781479978878
We consider a joint sensor and controller design problem for linear Gaussian stochastic systems in which a weighted sum of quadratic control cost and the amount of information acquired by the sensor is minimized. This problem formulation is motivated by situations where a control law must be designed in the presence of sensing, communication, and privacy constraints. We show that an optimal linear joint sensor-controller policy is comprised of a linear sensor, Kalman filter, and a certainty equivalence controller, and can be synthesized by a numerically efficient algorithm based on semidefinite programming (SDP).
Expanding robotic space exploration beyond the immediate vicinity of Earth's orbit can only be achieved by increasingly autonomous agents, given the sometimes insurmountable challenges of teleoperation over great ...
详细信息
In this paper, the problem of robust set invariance and contractivity with respect to discrete-time dynamical systems is investigated. In contrast to the usual approach consisting in describing regions of system's...
详细信息
In this paper, the problem of robust set invariance and contractivity with respect to discrete-time dynamical systems is investigated. In contrast to the usual approach consisting in describing regions of system's space by their border surfaces, a dual description of sets in terms of a generator matrix and a, generally nonlinear, generating function is proposed. This leads to the establishment of an associated generated system whose robust set invariance and/or contractivity properties imply corresponding properties for the initial system. This general result is then applied to the development of robust set invariance and/or robust contractivity conditions for linear systems.
In this paper, the problem of set invariance and contractivity with respect to continuous-time dynamical systems is investigated. In contrast to the usual approach consisting in describing regions of system's stat...
详细信息
In this paper, the problem of set invariance and contractivity with respect to continuous-time dynamical systems is investigated. In contrast to the usual approach consisting in describing regions of system's state space by their border surfaces, a dual description of sets in terms of a generator matrix and a, generally nonlinear, generator function is proposed. This leads to the establishment of an associated generated system whose set invariance and/or contractivity properties imply corresponding properties for the initial system. This general result is then applied to the development of robust set invariance and/or contractivity conditions for linear and nonlinear systems.
This paper considers the problem of characterizing the sets of consistent and inconsistent parameters for given constraints for linear fractional models. Based on previous results on the single box volume maximization...
详细信息
ISBN:
(纸本)9781479978878
This paper considers the problem of characterizing the sets of consistent and inconsistent parameters for given constraints for linear fractional models. Based on previous results on the single box volume maximization problem using structured singular value, algorithms that express the (in)consistent parameter set as a union of multiple boxes are developed. Since no relaxation is involved in the proposed algorithms, the obtained sets are guaranteed to be (in)consistent with the given constraints even when the real set of (in)consistent parameters is nonconvex. A numerical example is included to illustrate the difference of the sets obtained by the proposed algorithms.
暂无评论