Hidetoshi Oya

Trajectory-based design of robust non-fragile controllers for a class of uncertain linear continuous-time systems

This paper deals with a design problem of robust non-fragile stabilizing controllers for a class of uncertain linear continuous-time systems. The proposed design approach of robust non-fragile controllers is based on computation of the trajectory for the uncertain linear system and differs from the existing methods based on quadratic stabilization via Lyapunov criterion. In this paper, we show that sufficient conditions for asymptotical stability of the linear system with uncertainties and controller gain variations, and a LMI-based design algorithm of a robust non-fragile controller. Furthermore, we extend the result to the design problem of decentralized robust non-fragile controllers for a class of uncertain large-scale interconnected systems. Finally, the effectiveness of the proposed design scheme of robust non-fragile controllers is shown through illustrative examples.

Observer-based guaranteed cost control scheme for polytopic uncertain systems with state delays

This paper deals with a design problem of an observer-based guaranteed cost controller for polytopic uncertain systems with state delays. In this approach, firstly a full order observer is designed and next a feedback controller ensuring an upper bound on a given quadratic cost function is derived. In this paper, we show that sufficient conditions for the existence of the observer-based guaranteed cost controller are given in terms of linear matrix inequalities (LMIs). Additionally, we deal with a design problem of a suboptimal observer-based guaranteed cost controller. Finally, a numerical example is included.

Observer-Based Robust Tracking Control with Preview Action for Uncertain Discrete-Time Systems

This paper deals with a design problem of an observer-based robust preview control system for uncertain discrete-time systems. In this approach, we adopt 2-stage design scheme and we derive an observer-based robust controller with integral and preview actions such that a disturbance attenuation level is satisfactorily small for allowable uncertainties.

Adaptive Robust Stabilizing Controllers for a Class of Uncertain Switched Linear Systems

This paper discusses a design problem of an adaptive robust stabilizing controller for a class of uncertain switched linear systems. The uncertainties under consideration are supposed to satisfy the matching condition, and switchings among subsystems are determined by using the nominal system. The proposed adaptive robust stabilizing controller consists of the switching rule, the state feedback law with constant gain matrix and the state feedback law with the variable gain matrix tuned by adjustable parameters. In this paper, we show that the switching rule, the feedback gain matrices and the adjustment law of the adjustable parameter

Synthesis of adaptive robust output feedback controllers for a class of uncertain linear systems

This paper discusses a design problem of an adaptive robust output feedback controller for a class of uncertain linear systems. The uncertainties under consideration satisfy the matching condition and are bounded, but their upper bounds are unknown. The proposed adaptive robust output feedback controller consists of a fixed gain controller, an adjustable parameter and a variable gain controller. In this paper, we present a design method of an adaptive robust output feedback control system. Finally, illustrative examples are presented to show the efficiency of the proposed adaptive robust controller.

Adaptive Robust Stabilization for a Class of Uncertain Linear Systems via Variable Gain Controllers

This paper discusses a problem of adaptive robust stabilization for a class of uncertain linear systems via variable gain controllers. The uncertainties under consideration which are composed of matched part and unmatched one are bounded, but its upper bounds are unknown. In this paper, on the basis of piecewise Lyapunov functions, we present a design method of the adaptive robust control system. Finally, illustrative examples are presented

A design method o adaptive compensation inputs for class of uncertain linear systems via piecewise Lyapunov functions

This paper discusses a design problem of a robust control system with an adaptive compensation input for a class of uncertain linear systems via piecewise Lyapunov functions. The uncertainties under consideration satisfy the matching condition and the proposed control law consists of a state feedback with a fixed gain controller and an adaptive compensation input. In this paper, we present a design method of the adaptive compensation input. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed controller.

Trajectory-Based Design of Robust Non-Fragile Controllers for Uncertain Linear Systems

This paper deals with a design problem of robust non-fragile controllers for uncertain linear systems. The proposed design method of robust non-fragile controllers is based on computation of the trajectory for the uncertain system and differs from the existing methods based on quadratic stabilization via Lyapunov criterion. In this paper, we show that sufficient conditions for asymptotical stability of the uncertain system and a LMI-based design algorithm of a robust non-fragile controller is given. Finally, the effectiveness of the proposed design scheme is shown through illustrative examples