Stochastic LQ-optimal control for 2-D systems
Multidimensional Systems and Signal Processing
H∞ and Robust Control of 2-D Systems in FM Second Model
Multidimensional Systems and Signal Processing
Stability and Stabilization of Uncertain 2-D Discrete Systems with Stochastic Perturbation
Multidimensional Systems and Signal Processing
Linear quadratic Gaussian control of 2-dimensional systems
Multidimensional Systems and Signal Processing
Brief paper: H2 and mixed H2/H∞ control of two-dimensional systems in Roesser model
Automatica (Journal of IFAC)
Multidimensional Systems and Signal Processing
Robust H∞ filtering for discrete-time linear systems with uncertain time-varying parameters
IEEE Transactions on Signal Processing - Part I
Brief H∞ control and robust stabilization of two-dimensional systems in Roesser models
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
This paper is concerned with gain-scheduled control of two-dimensional discrete-time linear parameter-varying systems described by a Roesser state-space model with matrices depending affinely on time-varying scheduling parameters. The parameter admissible values and variations are assumed to belong to given intervals. Linear matrix inequality based methods are devised for designing static state feedback gain-scheduled controllers with either an H"~ or quadratic regulator-type performance. The control designs build on quadratically parameter-dependent Lyapunov functions and allow for incorporating information on available bounds on the parameters variation. The proposed controller gain can be independent, affine, quadratic, or a matrix fraction of quadratic polynomial matrices in the scheduling parameters.