Journal ArticleDOI
Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
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In this paper, the problem of robustly stabilizing a linear uncertain system is considered with emphasis on the interplay between the time-domain results on the quadratic stabilization of uncertain systems and the frequency domain results on H/sup infinity / optimization.Abstract:
The problem of robustly stabilizing a linear uncertain system is considered with emphasis on the interplay between the time-domain results on the quadratic stabilization of uncertain systems and the frequency-domain results on H/sup infinity / optimization. A complete solution to a certain quadratic stabilization problem in which uncertainty enters both the state and the input matrices of the system is given. Relations between these robust stabilization problems and H/sup infinity / control theory are explored. It is also shown that in a number of cases, if a robust stabilization problem can be solved via Lyapunov methods, then it can be also be solved via H/sup infinity / control theory-based methods. >read more
Citations
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Proceedings ArticleDOI
An implicit small gain condition and an upper bound for the real structured singular value
TL;DR: In this paper, an implicit small gain bound for the real structured singular value has been developed in the form of a shift plant whose dynamics depend upon the uncertainty set bound and does not require frequency-dependent scales or multipliers.
Proceedings ArticleDOI
Design of a modified repetitive control system using state feedback based on two-dimensional hybrid model
TL;DR: This paper presents a method of designing a modified repetitive control system (MRCS) based on a two-dimensional (2D) continuous-discrete hybrid model that can be extended to handle a plant with a time-varying uncertainty.
Journal ArticleDOI
Sufficient Conditions of Asymptotic Stability of the Time-Varying Descriptor Systems
Xiaoming Su,Yali Zhi +1 more
TL;DR: In this article, a sufficient condition of asymptotic stability and impulse-free is derived based on Riccati equation and a state feedback controller is designed to make the close-loop descriptor system stable and impulse free.
Proceedings ArticleDOI
LMI-based design method of robust modified repetitive-control systems
TL;DR: An LMI-based method is presented in this paper to design a robust modified repetitive-control system for a class of strictly proper plants that can adjust the control and learning actions individually by adjusting the parameters contained in the LMI.
Journal ArticleDOI
Robust nonlinear state feedback for power systems under structured uncertainty
TL;DR: In this paper, a robust nonlinear state feedback linearization approach for power systems with uncertainties is presented, where uncertainties are a class of bounded perturbations to the state model of power systems.
References
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Journal ArticleDOI
State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
TL;DR: In this article, simple state-space formulas are derived for all controllers solving the following standard H/sub infinity / problem: for a given number gamma > 0, find all controllers such that the H/ sub infinity / norm of the closed-loop transfer function is (strictly) less than gamma.
Journal ArticleDOI
A stabilization algorithm for a class of uncertain linear systems
TL;DR: In this paper, the authors present an algorithm for the stabilization of a class of uncertain linear systems, which is described by state equations which depend on time-varying unknown-but-bounded uncertain parameters.
Journal ArticleDOI
Least squares stationary optimal control and the algebraic Riccati equation
TL;DR: In this paper, the optimal control of linear systems with respect to quadratic performance criteria over an infinite time interval is treated, and the integrand of the performance criterion is allowed to be fully quadratically in the control and the state without necessarily satisfying the definiteness conditions which are usually assumed in the standard regulator problem.
Journal ArticleDOI
LQG control with an H/sup infinity / performance bound: a Riccati equation approach
TL;DR: In this article, an LQG (linear quadratic Gaussian) control-design problem involving a constraint on H/sup infinity / disturbance attenuation is considered, and an algorithm is developed for the full-order design problem and illustrative numerical results are given.
Journal ArticleDOI
Root locations of an entire polytope of polynomials: It suffices to check the edges
TL;DR: It is shown that the root locations of the entire family can be completely determined by examining only the roots of the polynomials contained in the exposed edges of the polytope.