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This paper considers the stability of switched linear systems. Assume a common weak quadratic Lyapunov function exists and the switches satisfy certain ergodic property, we investigate two extensions of LaSalle's invariance principle. Unlike most existing results, the systems we investigated may have switching modes, which are not asymptotically stable. An application to the consensus of multi-agent...
This paper considers the problem of consensus of multiple agents with dynamically changing interaction topologies. It is shown that a multi-agent system can achieve consensus asymptotically if the union of the directed interaction graphs is weakly connected frequently enough as the system evolves. To establish convergence condition of consensus, some new concepts and properties of graphs have been...
In this paper, we study stabilization of switched linear systems with time-varying delay in switching occurrence detection. The stabilization is realized through online and offline feedback mechanism, respectively, and a state feedback controller design approach is proposed for each mechanism. To develop the main results, a more precise calculation method is put forward in advance to estimate overshoots...
This short note reviews the literature relevant to the guaranteed stability of switched linear systems. We try to provide a unified treatment for the stability development with various system frameworks. The material is organized in a manner that integrates the existing results with some fresh observations.
Biped robots are inherently hybrid systems due to their intermittent, switching dynamics resulting from foot/ground impacts. It is well known that stable (passive) limit cycles for such mechanisms can be induced on shallow slopes without actuation. Most studies of passive dynamics to date have considered point or curved feet. In this paper, we consider passive bipeds with fixed flat feet. We study...
The use of network in control systems to connect controllers and sensors/actuators has become common practice. As a special case of such systems, a networked switched control system (NSCS) is studied. This paper models NSCS with network-induced delay and packet dropout as switched delay systems. Sufficient conditions for robust exponential stability are given for a class of switching signals with...
This paper deals with the problem of robust stochastic stability and robust H∞ control for uncertain stochastic systems with a time-delay in the state. The parametric uncertainty under consideration is of a linear fraction form. A desired state feedback controller can be designed by solving a linear matrix inequality.
In this paper, we propose a scaling linear matrix inequality (LMI) approach to static output feedback control of discrete-time linear time invariant (LTI) plants. Based on whether the system matrix B or C is full-rank, we provide several different methods with respect to the system state dimension, output dimension and input dimension. These methods require a preprocessing to transfer B or C to a...
This paper is concerned with the problem of robust H∞ filtering for uncertain linear descriptor systems. The matrices of the system state-space model are uncertain, belonging to a given polytope. A method based on a parameter-dependent Lyapunov function is proposed for designing a linear stationary filter with a prescribed H∞ performance, irrespective of the parameter uncertainty. The proposed design...
In this paper, state feedback stabilization problem for a class of networked control systems is studied. First, a discrete-time switching system model is presented to describe these networked control systems. Then the state feedback stabilization method of discrete systems with constant time delay is extended to the discrete-time switching system model. Main results are given in terms of linear matrix...
This paper presents a study on the problem of non-fragile H∞ controller design with sparse structure for SISO linear continuous-time systems. The controller to be designed with sparse structure is assumed to have additive gain variations, which are due to the finite world length(FWL) effects when the controller is implemented. Design methods for non-fragile H∞ controller with sparse structure are...
This paper investigates the problem of output feedback l2-l∞ control for networked system with random delays. The sensor-to-controller and controller-to-actuator delays are simultaneously considered due to limited bandwidth communication. The random delays are described by a binary switching sequence satisfying a Bernoulli distribution. The purpose is the design of a dynamic output feedback controller...
Along with the development of intelligent building, information exchanging and sharing plays a very important role in an intelligent building management system. Intelligent building integrating can complete the interoperation and the information exchanging and sharing among the subsystems. Obviously it is important to study the software platform of integrating tool to accelerate the development of...
A method is proposed for generating on-off commands for rest-to-rest slewing of two-mode systems. When the on-off actuators are thruster jets, the command profiles can be designed to use any specified amount of fuel. A beneficial merit of the presented procedure is that the on-off commands are expressed by closed-form functions of the system parameters and desired maneuver. The command performances...
Doubly fed induction generator (DFIG) for variable speed wind turbines can capture more wind power. However active power and the reactive power have coupling characteristic to affect performance of conventional control. A multivariable predictive functional control (MPFC) based first-order model are proposed for doubly fed induction generator. Models the DFIG in d-q reference frame is given and are...
Robot path planning is a NP problem, traditional optimization methods are not very effective to it, which are easy to plunge into local minimum. In this paper, we devise an evolutionary algorithm to solve the robot path planning problems based on some new genetic operators.The problems in algorithm design mainly considered are how to select the evolutionary operators, how to avoid the solutions falling...
The purpose of this paper is to develop an approach to improve the tracking characteristics of a small-scale shaking table actuation system, which is used in active structural control system. In this paper, firstly, the active control experimental system is described in detail. Then, the process of constructing analytical model of servo-hydraulic actuation system is presented. The proposed model,...
A biosensor building on F0F1-ATPase for clenbuterol detection is constructed. The energy for ATP synthesis is provided from downhill proton transport along the proton gradient across membranes. This potential is formed by the electron transfer chains of respiration. The fluorescence probe F1300, which was sensitive to pH changes, was labeled into inner chromatophores to indicate the proton-flux during...
This work discusses the uniqueness and dissipation of solutions for distributed parameter systems with random coefficients and presents some parallel results to stochastic ordinary differential systems.
This work is devoted to exponential stability in mean square of neutral stochastic partial differential systems with distributed delay. On the basis of Fubini theorem, some useful corresponding criteria are given by applying Ito differential formula to the constructed average Lyapunov function with respect to spatial variables. This technology is far different from the general method when the considered...
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