LPV analysis and control using fast iterative solutions to rationally parametric Lyapunov and Riccati equations

JK Rice, M Verhaegen - Proceedings of the 2010 American …, 2010 - ieeexplore.ieee.org
We consider the problem of analysis and control of Linear Parameter Varying (LPV)
systems. With regard to such problems, solving rationally parametric Lyapunov and Riccati …

Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems

P Benner, JR Li, T Penzl - Numerical Linear Algebra with …, 2008 - Wiley Online Library
We study large‐scale, continuous‐time linear time‐invariant control systems with a sparse or
structured state matrix and a relatively small number of inputs and outputs. The main …

Control of parametrically-dependent linear systems: A single quadratic Lyapunov approach

G Becker, A Packard, D Philbrick… - 1993 American Control …, 1993 - ieeexplore.ieee.org
In this paper two parameter-dependent control problems for linear, parametrically varying
(LPV) systems are presented. Sufficient conditions for exponential stability and an induced L …

Distributed control of spatially invariant systems using fast iterative solutions to rationally parametric matrix problems

JK Rice, M Verhaegen - … of the 48h IEEE Conference on …, 2009 - ieeexplore.ieee.org
We consider the problem of analysis and control of spatially invariant discretely distributed
systems. It is well known that for certain types of subsystem models, the interconnected …

[PDF][PDF] A MATLAB Toolbox for Large Lyapunov and Riccati Equations, Model Reduction Problems, and Linear–Quadratic Optimal Control Problems

T Penzl - Software available at https://www. tu-chemnitz. de …, 2000 - eq.uc.pt
Control theory is one of the most rapidly developing disciplines of mathematics and
engineering in the second half of the 20th century. In the past decade, implementations of …

[图书][B] Stability analysis and controller synthesis of linear parameter varying systems

D Xiong - 1998 - search.proquest.com
We consider stability analysis and state feedback synthesis for Linear Parameter Varying
(LPV) systems. LPV systems are defined as linear systems whose dynamics depend on …

Robustness analysis and gain-scheduled controller synthesis for rational parameter-dependent systems using parameter-dependent Lyapunov functions

F Wang, V Balakrishnan - … of the 38th IEEE conference on …, 1999 - ieeexplore.ieee.org
For linear systems with a rational dependence on some unknown but measurable time-
varying parameters, we use parameter-dependent Lyapunov functions to devise algorithms …

The ADI method for bounded real and positive real Lur'e equations

A Massoudi, MR Opmeer, T Reis - Numerische Mathematik, 2017 - Springer
We propose an algorithm for the numerical solution of the Lur'e equations in the bounded
real and positive real lemma for stable systems. The algorithm provides approximate …

Rational L/sub/spl infin//norm approximation of multivariable systems

D Kavranoglu, M Bettayeb… - Proceedings of 1995 34th …, 1995 - ieeexplore.ieee.org
The problem of rational L/sub/spl infin//norm approximation of multivariable systems is
treated in this paper. L/sub/spl infin//norm approximation of simultaneous muitivariable …

Computing the positive stabilizing solution to algebraic Riccati equations with an indefinite quadratic term via a recursive method

A Lanzon, Y Feng, BDO Anderson… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
An iterative algorithm to solve Algebraic Riccati Equations with an indefinite quadratic term
is proposed. The global convergence and local quadratic rate of convergence of the …