Exponential Stability Control Research Articles

Exponential stability control for nonlinear uncertain networked systems with time delay

This paper considers the problem of exponential stability control for nonlinear uncertain networked control systems. Corresponding to the probability of the delays taking value in different interval. A new fuzzy networked control systems is built by employing the information of the probability distribution. With the Lyapunov stability theorem, the mean-square exponential stability conditions and the state feedback fuzzy controller design methods are given in terms of LMI.

Stability Analysis and Fuzzy Control for Uncertain Delayed T–S Nonlinear Systems

This paper studies the global exponential stability and fuzzy control for Takagi–Sugeno (T–S) nonlinear systems with bounded uncertain delays. Most existing T–S methods represent global nonlinear systems by connecting local linear systems with linguistic description. However, many complex systems cannot be represented by linear systems. In this paper, some local nonlinear systems having nice dynamic properties are employed to represent a global complex system. Moreover, the delays are any uncertain bounded continuous functions. Sufficient conditions for global exponential stability of these delayed global complex systems are derived. Criteria for design of nonlinear fuzzy controllers to feedback control the stability of global nonlinear fuzzy systems are given.

Absolutely Exponential Stability and Temperature Control for Gas Chromatograph System Under Dwell Time Switching Techniques.

This paper provides a design strategy for temperature control of the gas chromatograph. Usually gas chromatograph is modeled by a simple first order system with a time-delay, and a proportion integration (PI) controller is widely used to regulate the output of the gas chromatograph to the desired temperature. As the characteristics of the gas chromatograph varies at the different temperature range, the single-model based PI controller cannot work well when output temperature varies from one range to another. Moreover, the presence of various disturbance will further deteriorate the performance. In order to improve the accuracy of the temperature control, multiple models are used at the different temperature ranges. With a PI controller designed for each model accordingly, a delay-dependent switching control scheme using the dwell time technique is proposed to ensure the absolute exponential stability of the closed loop. Experiment results demonstrate the effectiveness of the proposed switching technique.

2A1-B06 擬似連続指数安定化制御のゲイン調整(車輪型/クローラ型移動ロボット(1))

2A1-B06 擬似連続指数安定化制御のゲイン調整(車輪型/クローラ型移動ロボット(1))

Exponential Stability Control for a Class of Networked Systems with Interval Bernoulli Distribution Delays

Exponential Stability Control for a Class of Networked Systems with Interval Bernoulli Distribution Delays

Exponential Stability Control for T-S fuzzy Nonlinear Stochastic Networked Control Systems

Exponential Stability Control for T-S fuzzy Nonlinear Stochastic Networked Control Systems

Observer-based exponential stabilization of Takagi–Sugeno fuzzy systems with state and input delays

This paper proposes an exponential stabilization control method for uncertain Takagi–Sugeno fuzzy systems with state and input delays via output feedback. First, a unified memoryless fuzzy observer-based control method is introduced for stabilizing continuous and discrete uncertain time-delay fuzzy systems. Then, the exponential stability conditions are derived and converted to solving linear matrix inequality (LMI) problems. Based on the developed novel LMI algorithms, the controller and observer gains are able to be separately designed even in the presence of modelling uncertainty, state delay, and input delay. In comparison with existing techniques the proposed technique produces controlled states and state estimation errors that are guaranteed to exponentially converge to zero via output feedback. This is a major breakthrough for the control of uncertain systems with both state and input unavailable time-varying delays. Finally, two studies are carried out on continuous and discrete time-delay systems. Numerical simulation and comparison results demonstrate the quality of the obtained performance.

Exponential stability analysis and controller design of fuzzy systems with time-delay

Abstract Takagi–Sugeno (T–S) fuzzy models can provide an effective representation of complex nonlinear systems with a series of linear input/output submodels in terms of fuzzy sets and fuzzy reasoning. In this paper, the T–S fuzzy model approach is extended to the stability analysis and controller design for nonlinear systems with time delays. An improved stability condition is proposed by introducing adjustable parameters into the Lyapunov–Krasovskii functional. Stabilization approach for fuzzy state feedback is also presented. Sufficient conditions for the existence of fuzzy feedback gain are derived through the numerical solution of a set of obtained linear matrix inequalities (LMIs). Compared with the existing methods in the literature, the proposed approach has less conservatism and both the sizes of delay and its derivative are involved in the criterion. The dynamical performance of the system can be adjusted by changing the adjustable parameters. Finally, two examples are given to show the effectiveness of the proposed approach.

Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems

In this paper, we study exponential stability and tracking control problems for uncertain time-delayed systems. First, sufficient conditions of exponential stability for a class of uncertain time-delayed systems are established by employing Lyapunov functional methods and algebraic matrix inequality techniques. Furthermore, tracking control problems are investigated in which an uncertain linear time-delayed system is used to track the reference system. Sufficient conditions for solvability of tracking control problems are obtained for the cases that the system state is measurable and non-measurable, respectively. When the state is measurable, we design an impulsive control law to achieve the tracking performance. When the state information is not directly available from measurement, an impulsive control law based on the measured output will be used. Finally, numerical examples are presented to illustrate the effectiveness and usefulness of our results.

Robust Exponential Stability Controller Design for a Class of Nonlinear Systems

The paper addresses the problem of design of a robust controller for a class of non linear uncertain systems to guarantee the prescribed decay rate of exponential stability. The polytope type bounded deterministic uncertainties are considered both in a studied system and its input part. The proposed approach does not employ matching conditions.