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This paper deals with LTI interconnected systems whose subsystems have coupled dynamics. The objective is to decentralize a given centralized controller satisfying some prescribed design specifications. More precisely, a parameterized decentralized controller is to be designed such that the state and the input of the system under the obtained decentralized controller can become arbitrarily close to...
In this paper, we study the global robust output regulation for a class of weakly minimum phase nonlinear systems. By employing the internal model design technique, we first convert the problem into a global robust stabilization problem of an augmented system whose structure has not been encountered before. Then we develop a methodology to solve this stabilization problem via state feedback, by utilizing...
This paper studies some properties of the recently developed parametric Lyapunov equation based low gain feedback design method. As applications of these new properties, alternative and simpler solutions are proposed to the (global) stabilization problem for a class of linear systems with input delay and the semi-global stabilization problem when the systems are in addition subject to actuator saturation...
This paper presents the formulation of a Lyapunov function for an exponentially stable linear time-varying (LTV) system using a well-defined PD-spectrum and the associated PD-eigenvectors. It provides a bridge between the first and second methods of Lyapunov for stability assessment, and will find significant applications in the analysis and control law design for LTV systems and linearizable nonlinear...
In this paper we consider the dynamical stability of a tree-shape networks of Timoshenko beams with time-delay terms in the boundary controls. The time-delay feedback controllers at the exterior vertices are designed to derive the beams back to its equilibrium position. We first get the wellposedness of the closed loop system. Under certain conditions, we show that this system is asymptotically stable...
This paper presents a gradient flow approach for computing the robust controller for linear systems using state-derivative feedback such that the sensitivity of the closed-loop system eigenvalues to perturbations in the system and gain matrix is minimized. The approach can be applied for any controllable system with some restrictions when assigning zero poles. The nonsingular and singular open-loop...
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