Yunfei Yin

Stabilization for a Class of Switched Nonlinear Systems With Novel Average Dwell Time Switching by T–S Fuzzy Modeling

In this paper, the problem of switching stabilization for a class of switched nonlinear systems is studied by using average dwell time (ADT) switching, where the subsystems are possibly all unstable. First, a new concept of ADT is given, which is different from the traditional definition of ADT. Based on the new proposed switching signals, a sufficient condition of stabilization for switched nonlinear systems with unstable subsystems is derived. Then, the T-S fuzzy modeling approach is applied to represent the underlying nonlinear system to make the obtained condition easily verified. A novel multiple quadratic Lyapunov function approach is also proposed, by which some conditions are provided in terms of a set of linear matrix inequalities to guarantee the derived T-S fuzzy system to be asymptotically stable. Finally, a numerical example is given to demonstrate the effectiveness of our developed results.

Control of Switched Nonlinear Systems via T–S Fuzzy Modeling

This paper is concerned with the control problem for a class of switched nonlinear systems possibly composed of all unstable modes by using time-controlled switching signals. To tackle the problem, a new mode-dependent average dwell time (MDADT) switching property is proposed, which is different from the existing one in the literature. Then, the stabilization condition under such MDADT switching signals is established for the switched nonlinear systems with possibly all unstable subsystems. By proposing a class of time-scheduled multiple quadratic Lyapunov function and applying T-S fuzzy models to represent the underlying nonlinear subsystems, numerically easily verified stabilization conditions are further derived in the form of linear matrix inequalities. A numerical example is finally provided to illustrate the effectiveness of the obtained theoretical results.

State-dependent switching control of switched positive fractional-order systems

In this paper, the problem of switching stabilization for a class of continuous-time switched positive fractional-order systems is studied by using state-dependent switching. First, the asymptotic stability condition of switched positive fractional-order systems with state-dependent switching is given, which is based on the fractional co-positive Lyapunov method. Moreover, by the sliding sector method, the stability condition of switched positive fractional-order systems whose subsystems are possibly all unstable is obtained. A variable structure (VS) switching law with sliding sector is also proposed to guarantee the switched positive fractional-order system to be asymptotically stable. Finally, two numerical examples are given to demonstrate the advantages and effectiveness of our developed results.

Adaptive neural tracking control for a class of switched uncertain nonlinear systems

This paper investigates the problem of adaptive neural tracking control for a class of switched uncertain nonlinear systems in nonstrict-feedback form. By resorting to the adaptive backstepping technique, common Lyapunov function method, variable separation approach and the universal approximation capability of radial basis function neural networks, an adaptive tracking control algorithm is proposed for the considered system. It is shown that the designed controller can ensure that the target signal can be tracked with a small bounded error and the stability of the system can be kept under arbitrary switchings. Finally, simulation studies for a ship maneuvering system under different speeds are presented to show the effectiveness of the proposed method.

Stability analysis for switched positive T-S fuzzy systems

This paper deals with the problem of stability analysis for a class of continuous-time switched positive T-S fuzzy systems by using mode-dependent average dwell time (MDADT) switching signals. The switched positive T-S fuzzy systems consist of both stable and unstable positive T-S fuzzy subsystems. Based on the multiple linear copositive Lyapunov function (MLCLF) and MDADT methods, a simple sufficient condition of stability for switched positive T-S fuzzy systems is first derived to guarantee the exponential stability of the systems, and the obtained condition is formulated in terms of linear programming. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method.

Stability analysis of discrete-time switched nonlinear systems via T-S fuzzy model approach

This paper presents the stability problem of a class of discrete-time switched nonlinear systems with unstable subsystems. The Takagi and Sugeno (T-S) fuzzy model is applied to close the discrete-time nonlinear subsystems. By utilizing the multiple Lyapunov functions (MLFs) and mode-dependent average dwell time (MDADT) method, the stability condition for discrete-time switched nonlinear systems comprising stable and unstable nonlinear subsystems is obtained. Then, based on the result for discrete-time switched nonlinear systems, the computable sufficient condition in terms of a set of linear matrix inequalities is derived to guarantee exponential stable of the switched T-S fuzzy system. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

Adaptive Control for a Class of Switched Linear Systems Using State-Dependent Switching

In this paper, the problem of adaptive control for a class of continuous-time switched linear systems is studied using a state-dependent switching method. All subsystems of the switched system under study can be unstable. First, an adaptive controller and a variable structure (VS) switching law with sliding sector are proposed, and some conditions are established in terms of linear matrix inequalities to guarantee the underlying system to be asymptotically stable. Then the problem of robust

Stabilization for delayed positive nonlinear systems via T-S fuzzy modeling

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