Stabilization of a class of switched systems with state constraints

L1‐Gain Analysis and Control for Switched Positive Systems with Dwell Time Constraint

“…Generally speaking, the existing switching strategy could be divided into two categories: timedependent switching and state-dependent switching. In a time-dependent switching framework, the switching law usually satisfies dwell time [5][6][7][8][9][10][11] or average dwell time (ADT) constraints [11][12][13]. Under these switching laws, the switched systems could be stabilized or achieve the desired performance if the switching between the subsystems is sufficient.…”

Stabilization of Discrete‐time Switched Systems with State Constraints Based on Mode‐Dependent Average Dwell Time

“…When k ∈ (k i−1 , k i ), we say the (k i−1 )th subsystem is active. Then, for the saturation function h(⋅), we transform it into the vertex of a convex hull to handle the saturations [21]. Symbol U n denotes the set of n × n diagonal matrices.…”

“…whereà p = U s A p + U − s L p and U s ≠ I. By simplifying, we can get (20), (21) and (22). Therefore, the discrete-time switched system with state constraints (19) is GUAS with MDADT switching signal satisfying (14).…”

Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems

“…The primary motivation for studying switched systems comes partly from the fact that switched systems and switched multicontroller systems have numerous applications in control of flight control [10], missile autopilot design [11], chemical systems [12], networked control systems [13], and many other fields. Until now, a number of recent results are focused on stability and stabilizability under arbitrary switching [14], restricted switching (like dwell time and average dwell time [15,16]), multiple Lyapunov functions method, and piecewise quadratic Lyapunov functions. As one of the special switched systems, impulsive switched systems produce impulses when the system is switching among subsystems, and There is also a wide range of actual systems such as engineering, economics, and biology.…”