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In this paper we provide a frequency domain approach to model multirate SISO systems which facilitates design of linear time-invariant (LTI) controllers. To illustrate the approach we consider a dual-rate system with slow output measurements and fast control actions. We obtain necessary and sufficient conditions for the existence of stabilizing LTI controllers for which model matching is also achieved...
This paper presents a method of designing a modified repetitive control system (MRCS) based on a two-dimensional (2D) continuous-discrete hybrid model. First, a 2D continuous-discrete hybrid model of MRCS is established. Next, the design of the feedback controller of the MRCS is converted to the stabilization problem of the 2D hybrid system with a static-state feedback. Then, by using a 2D Lyapunov...
The focus in this paper is analysis of stability and controller design for interconnected systems. This includes both the case with known and unknown interconnected sub-system. The key element in both the stability analysis and controller design is the application of the Youla-Jabr-Bongiorno-Kucera (YJBK) parameterization. The dual YJBK transfer function is applied in connection with the closed-loop...
In this note, we investigate exponential mean-square stability for a class of time-delay Markovian jump linear systems with state-dependant switching. By solving a set of linear matrix inequalities (LMIs), a state-feedback nonlinear controller is obtained, which guarantees globally exponential stability of such systems in the mean-square sense. Based on this, an adaptive state-feedback control law...
This paper deals with Takagi-Sugeno (T-S) systems stabilization based on a static output feedback (SOF) non-PDC control law. To investigate SOF stabilization, the closed loop dynamics is written using a descriptor redundancy formulation. This approach allows avoiding appearance of crossing terms between the controller's and the T-S system's matrices. Thus, based on a fuzzy Lyapunov candidate function...
In this paper, we propose a decentralized adaptive output-feedback controller for a class of large-scale time-delay nonlinear systems with unknown high-frequency-gain signs. We establish global asymptotic stabilization results, without using Razumikhin Theorem or constructing Lyapunov-Krasovskii functionals. The paper enlarges the class of large-scale nonlinear systems for which global decentralized...
The paper studies semi-global practical input-to-state stability (SGP-ISS) of a parameterized family of discrete-time systems that may arise when an approximate discrete-time model of a sampled-data system with disturbances is used for controller design. It is shown under appropriate conditions that if the solutions of the time varying family of discrete-time systems with disturbances converge uniformly...
A Smith Predictor-like design for compensation of arbitrarily long input delays is available for general, controllable, possibly unstable LTI finite-dimensional systems. Such a design has not been proposed previously for problems where the plant is a PDE. We present a design and stability analysis for a prototype problem, where the plant is a reaction-diffusion (parabolic) PDE, with boundary control...
A framework for addressing a potential instability problem in adaptive control and iterative identification and controller design algorithms is proposed. Suppose an unknown plant is stabilized by a known controller, some knowledge of this stable closed-loop system is available, and the use of a new controller to replace the current stabilizing controller becomes imminent. Our analysis results assume...
Commonly, controllers for Linear Parameter- Varying (LPV) systems are designed in continuous-time using a Linear Fractional Representation (LFR) of the plant. However, the resulting controllers are implemented on digital hardware. Furthermore, discrete-time LPV synthesis approaches require a discrete-time model of the plant which is often derived from continuous-time first-principle models. Existing...
In this paper we study the problem of stabilizing a networked control system (NCS) composed of N linear dynamical subplants and an equal number of controllers acting over a shared network. A single subplant is allowed to communicate with its controller at each time step. Emphasis is given to both guaranteeing stability of the overall system and efficiently allocating communication. We model such a...
A new fractional-order chaotic system, fractional-order Lorenz-Stenflo (LS) system, is found in this paper. Chaos can exist in the fractional-order LS system with order as low as 3.6. The chaotic dynamics of this system is investigated. Then based on Laplace transformation theory, the controller of complete synchronization is designed for this system. Moreover using stability theory of linear fractional-order...
A functional differential inclusion-based approach to L2-gain analysis and feedback control problems is presented for a class of discontinuous time-delay systems. Motivated by Filippov solution in the differential equations with discontinuous right-hand side, definition of the discontinuous time-delay systems forced by external signals is introduced, and a description of L2-gain property in the sense...
This paper addresses the robust stability and stabilization of continuous-time linear systems with Markov jump parameters taking values in a finite set. It is shown how each of the robust analysis and synthesis problems can be expressed in terms of two alternative linear matrix inequalities, in which the scaling parameters appear as decision variables. As a by-product, new contributions to the theory...
This paper describes a two-sweep control design method to stabilize the acrobot, an input-affine under-actuated system, at the upper equilibrium point. In the forward sweep, the system is successively reduced, one dimension at a time, until a two-dimensional system is obtained. At each step of the reduction process, a quotient is taken along one-dimensional integral manifolds of the input vector field...
This paper studies the stabilization problem for a class of networked control systems (NCSs) with communication constraints and random packet dropouts. The considered plant is equipped with multiple sensor nodes and actuator nodes. Only one of them can communicate with the controller at each transmission instant due to the communication constraints, and packet dropouts may occur at each transmission...
The symmetric control systems have some interesting properties. This paper studies a class of symmetric system consists of a collocated second-order plant and a static output feedback controller. For the system, it is known that the internal stability and the robustness of the closed-loop system are guaranteed based only on the non-parametric structure condition. Our objective is to propose an optimal...
This paper investigates optimal reset law design of reset control systems with fixed reset time instants. Firstly, closed-loop reset control system is changed to discrete linear control system with reset values as control input. Then the optimal reset law design problems are transferred to standard linear quadratic regulation problems and the optimal reset laws are then obtained by solving some Riccati...
In this paper a 2D systems setting is used to develop new results on iterative learning control for linear plants in the case when there are multiple reference signals. The algorithms for control law design are developed using a strong form of stability for discrete linear repetitive processes known as stability along the pass. The resulting design computations are in terms of linear matrix inequalities...
Based on analytical structure of fuzzy controller, a new kind of membership function with difference-interval factor is designed by the research of relationship between membership function and output of fuzzy controller, and used in a typical 2-dimensional fuzzy controller. With the mathematical structures, the stability conditions for fuzzy control systems have been obtained. Finally, a simulation...
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