Results 271 to 280 of about 612,805 (315)

Inverse Optimality in Robust Stabilization

SIAM Journal on Control and Optimization, 1996
This article centers around the relationship between stability and optimality. More precisely the question is considered if a robust control Lyapunov function for a control affine nonlinear system with constrained control and perturbation can be expressed as a solution of a Hamilton-Jacobi-Isaacs equation and hence enjoys certain optimality properties.
Freeman, R. A., Kokotovic, P. V.
openaire   +1 more source

Robust stabilization of distributed systems

Automatica, 1986
This paper is devoted to the problem of robust stabilization for a class of distributed plants. It considers the gain margin optimization problems and the robust stabilization problem for multiplicative perturbations. Using techniques from interpolation theory and complex variables, one obtains explicit necessary and sufficient conditions for robust ...
Pramod P. Khargonekar, Kameshwar Poolla
openaire   +2 more sources

Optimal performance and robust stabilization

Automatica, 1986
This paper deals with the design of feedback controllers which minimize the \(H_{\infty}\)-norm of the sensitivity matrix under the constraint that the closed-loop system remains stable. Let P and C be the plant and the controller respectively, where P is a \(p\times q\) transfer matrix whose elements are strictly proper rational functions and C is a \(
S. D. O'Young, Bruce A. Francis
openaire   +1 more source

Robust stabilization of interval plants

2003 European Control Conference (ECC), 2003
A simple necessary condition and sufficient condition for robust Hurwitz stability of interval polynomial is obtained using the results of Nie [13] for fixed polynomials. These conditions provide a simple and quick test to detect many unstable systems.
Balasaheb M. Patre, Pramod Jagan Deore
openaire   +1 more source

Stability Radii and Robust Stability

2000
Robust stability describes the stability behavior of systems under (time-varying or constant) perturbations; this concept is also known in the literature as absolute stability. For a given system with given perturbation structure the problem is to find the maximal uncertainty range such that any perturbation with a smaller range will yield a stable ...
Fritz Colonius, Wolfgang Kliemann
openaire   +1 more source

Robust lp Stability and Performance

IFAC Proceedings Volumes, 1995
Abstract In this paper we study robust stability, in the lp sense, against structured perturbations of bounded lp norm. The perturbations may be either linear time-varying, nonlinear time-varying, or nonlinear time-invariant. We develop exact tests for robust stability for each case in terms of convex optimization problems. These results are extended
Peter M. Young, Munther A. Dahleh
openaire   +1 more source

Stability margins and robust stability

Journal of Computer and Systems Sciences International, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Robust Stabilization of Uncertain Systems

SIAM Journal on Control and Optimization, 1983
In this paper we consider the systems described by \[dx = Axdt + Budt + \sum_i {\sigma _i F_i xd\beta _i } \qquad {\text{or}}\qquad \dot x = Ax + Bu + \sum_i {B_i F_i (x,t)C_i x,} \] and we will derive conditions under which there exists a feedback control law $u = Kx$ such that the closed loop system is stable for all $\sigma _i $ or (smooth ...
Willems, Jacques L., Willems, Jan C.
openaire   +1 more source

D-partition and robust stability

Computational Mathematics and Modeling, 1998
This paper reviews some of the author's results about the following problem. Consider an equation of the form \[ \chi(z,a_1,\dots, a_m)= 0\tag{1} \] in the complex plane, where \(a_1,\dots, a_m\) are parameters. Let \(D(0)\) be the region of the parameter space for which all the solutions of (1) lie in a preassigned region \(G\) of the complex plane ...
openaire   +1 more source

Pole assignment with robust stability

IEEE Transactions on Automatic Control, 1995
This paper uses convex analysis for the pole assignment design of discrete-time SISO systems incorporating robust stability against norm bounded parametric perturbations in the plant transfer function. The method involves designing an overparameterized pole assignment controller for the nominal plant with the overparameterization chosen to reduce the ...
Mark E. Halpern, Robin J. Evans 0001, Robin D. Hill   +2 more
openaire   +2 more sources