Amit Dhawan

Optimal guaranteed cost control of 2-D discrete uncertain systems: An LMI approach

This paper addresses the problem of the optimal guaranteed cost control for a class of two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based new criterion for the existence of a state feedback controller which guarantees not only the asymptotic stability of the closed-loop system, but also an adequate performance bound over all the possible parameter uncertainties is established. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the upper bound of the closed-loop cost function.

LMI-based criterion for the robust guaranteed cost control of 2-D systems described by the Fornasini-Marchesini second model

This paper considers the problem of the guaranteed cost control for a class of two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model with norm-bounded uncertainties. An improved linear matrix inequality (LMI)-based criterion for the existence of robust guaranteed cost controller is established. Such controllers render the closed-loop system asymptotically stable for all admissible uncertainties and guarantee an adequate level of performance.

An LMI approach to robust optimal guaranteed cost control of 2-D discrete systems described by the Roesser model

The optimal guaranteed cost control problem via static-state feedback controller is addressed in this paper for a class of two-dimensional (2-D) discrete systems described by the Roesser model with norm-bounded uncertainties and a given quadratic cost function. A novel linear matrix inequality (LMI) based criterion for the existence of guaranteed cost controller is established. Furthermore, a convex optimization problem with LMI constraints is formulated to select the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system.

Fast communication: An improved LMI-based criterion for the design of optimal guaranteed cost controller for 2-D discrete uncertain systems

An improved criterion for the design of optimal static-state feedback guaranteed cost controller for two-dimensional (2-D) discrete uncertain systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model is proposed. The design problem of the optimal guaranteed cost controller is formulated as a convex optimization problem with linear matrix inequality (LMI) constraints. The proposed method yields tighter upper bound of the closed-loop cost function as compared to a recently reported method.

Multi-threshold CMOS design for low power digital circuits

Multi-threshold CMOS (MTCMOS) power gating is a design technique in which a power gating transistor is connected between the logic transistors and either power or ground, thus creating a virtual supply rail or virtual ground rail, respectively. Power gating transistor sizing, transition (sleep mode to active mode) current, short circuit current and transition time are design issues for power gating design. The use of power gating design results in the delay overhead in the active mode. If both nMOS and pMOS sleep transistor are used in power gating, delay overhead will increase. This paper proposes the design methodology for reducing the delay of the logic circuits during active mode. This methodology limits the maximum value of transition current to a specified value and eliminates short circuit current. Experiment results show 16.83% reduction in the delay.

Comment on Robust guaranteed cost control for a class of two-dimensional discrete systems with shift-delays

This paper points out some technical errors in the derivation of main results in the above paper and present the results in corrected form.

An LMI Approach to Optimal Guaranteed Cost Control of Uncertain 2-D Discrete Shift-Delayed Systems via Memory State Feedback

This paper deals with the problem of optimal guaranteed cost control via memory state feedback for a class of two-dimensional (2-D) discrete shift-delayed systems in Fornasini–Marchesini (FM) second model with norm-bounded uncertainties. A new criterion for the existence of memory state feedback guaranteed cost controllers is derived, based on the linear matrix inequality (LMI) approach. Moreover, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controllers which minimize the upper bound of the closed-loop cost function. Illustrative examples demonstrate the merit of the proposed method in the aspect of conservativeness over a previously reported result.

Non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems

ABSTRACT This paper is concerned with the problem of non-fragile robust optimal guaranteed cost control for a class of uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model with norm-bounded uncertainties. Our attention is focused on the design of non-fragile state feedback controllers such that the resulting closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible parameter uncertainties and controller gain variations. A sufficient condition for the existence of such controllers is established under the linear matrix inequality framework. Moreover, a convex optimisation problem is proposed to select a non-fragile robust optimal guaranteed cost controller stabilising the 2-D discrete state-delayed system as well as achieving the least guaranteed cost for the resulting closed-loop system. The proposed method is compared with the previously reported criterion. Finally, illustrative examples are given to show the potential of the proposed technique.

An LMI approach to non-fragile robust optimal guaranteed cost control of 2D discrete uncertain systems

This paper addresses the problem of non-fragile robust optimal guaranteed cost control for a class of two-dimensional discrete systems described by the general model with norm-bounded uncertainties. Based on Lyapunov method, a new linear matrix inequality (LMI)-based criterion for the existence of non-fragile state feedback controller is established. Furthermore, a convex optimization problem with LMI constraints is formulated to select a non-fragile robust optimal guaranteed cost controller, which minimizes the upper bound of the closed-loop cost function. The merit of the proposed criterion in aspect of conservativeness over a recently reported criterion is demonstrated with the help of illustrative examples.

Robust Optimal \(H_\infty \) Control for 2-D Discrete Systems Using Asymmetric Lyapunov Matrix

This paper is concerned with the design of optimal