This paper is concerned with the high-performance robust control of discrete-time linear time-invariant (LTI) systems with semi-algebraic uncertainty regions. It is assumed that a robustly stabilizing static controller is given whose gain depends polynomially on the uncertain variables. The problem of tuning this parameter-dependent gain with respect to a prescribed quadratic cost function is formulated as a sum-of-squares (SOS) optimization. This method leads to a near-optimal controller whose performance is better than that of the initial controller. It is shown that the results derived in the present work encompass the ones obtained in a recent paper. The efficacy of the results is elucidated by an example
This paper studies the global regulation problem for a class of nonlinear polynomial systems subject...
In this thesis, we outline three contributions in robust control. The first is the efficient computa...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57856/1/RobustDiscreteTimeTAC1993.pd
This paper is concerned with the high-performance robust control of discrete-time linear time-invari...
A control analysis and design framework is proposed for systems subject to paramet-ric uncertainty. ...
This paper deals with the class of polynomially uncertain continuous-time linear time-invariant (LTI...
AbstractThis paper presents a linear quadratic regulator approach to the robust stabilization, robus...
In this paper, we address the problem of robust characteristic polynomial assignment for LTI systems...
In this paper, we address the problem of robust characteristic polynomial assignment for LTI systems...
This paper develops a Linear Quadratic Regulator (LQR), which is robust to disturbance variability, ...
This paper deals with the robust performance problem of a linear time-invariant control system in th...
Robust control of uncertain dynamical systems is considered. A new class of continuous robust contro...
An optimal control problem with robust performance is studied for plants with linear time-invariant,...
This paper is concerned with the problem of robust peak-to-peak gain minimization (the L1 or L?? ind...
In this paper we address the problem of robust pole placement for linear-time-invariant systems whos...
This paper studies the global regulation problem for a class of nonlinear polynomial systems subject...
In this thesis, we outline three contributions in robust control. The first is the efficient computa...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57856/1/RobustDiscreteTimeTAC1993.pd
This paper is concerned with the high-performance robust control of discrete-time linear time-invari...
A control analysis and design framework is proposed for systems subject to paramet-ric uncertainty. ...
This paper deals with the class of polynomially uncertain continuous-time linear time-invariant (LTI...
AbstractThis paper presents a linear quadratic regulator approach to the robust stabilization, robus...
In this paper, we address the problem of robust characteristic polynomial assignment for LTI systems...
In this paper, we address the problem of robust characteristic polynomial assignment for LTI systems...
This paper develops a Linear Quadratic Regulator (LQR), which is robust to disturbance variability, ...
This paper deals with the robust performance problem of a linear time-invariant control system in th...
Robust control of uncertain dynamical systems is considered. A new class of continuous robust contro...
An optimal control problem with robust performance is studied for plants with linear time-invariant,...
This paper is concerned with the problem of robust peak-to-peak gain minimization (the L1 or L?? ind...
In this paper we address the problem of robust pole placement for linear-time-invariant systems whos...
This paper studies the global regulation problem for a class of nonlinear polynomial systems subject...
In this thesis, we outline three contributions in robust control. The first is the efficient computa...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57856/1/RobustDiscreteTimeTAC1993.pd