Improved event‐triggered sliding mode control of switched systems with disturbances

This paper investigates the state interval estimation and fault detection (FD) problems for a Lipschitz nonlinear switched system based on the combination of the H∞$$ {H}_{\infty } $$ observer and the zonotope method. To begin with, an H∞$$ {H}_{\infty } $$ observer that is robust to the disturbance is designed, and the stability of the observer error dynamic system is analyzed under the average dwell time (ADT) concept. After this, the zonotope theory is applied on the H∞$$ {H}_{\infty } $$ observer error dynamic system such that the interval state estimation can be calculated iteratively when the system suffers from no fault. Furthermore, for FD purpose, a residual is constructed based on the H∞$$ {H}_{\infty } $$ observer. Because the constructed residual contains disturbance, it cannot be used for FD directly. To overcome this drawback, the interval estimation method of the residual is proposed by using the zonotope method, and a residual‐based FD scheme is developed. Finally, a simulation example is given to verify the effectiveness of the proposed method.

Section: H∞ Observer Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Interval estimation and fault detection for switched nonlinear systems based on zonotope method

Zhu

Guo

2022

“…Design a controller u(t) for state error system (6), which can guarantee the state of ( 6) converges to zero in the existence of unknown parameter matrices ΔA i , ΔB i , and unknown extraneous perturbation 𝑓 (t).…”

Section: Model Reference Control Objectivementioning

confidence: 99%

“…But a real system will certainly suffer form various disturbance [4], and the model parameters of itself will constantly change because of the mechanical wear and changing of external condition [5], so the built nonlinear model of a real system is not so accurate. On other words, uncertainties and perturbations are always in existence [6]. When we adopting T-S fuzzy technology to approach nonlinear model, uncertainties and unmodeled dynamics are also need to be considered, so robust control for T-S model is still an important and necessary task.…”

Section: Introductionmentioning

confidence: 99%

Sliding mode learning control for T‐S fuzzy system and an application to hypersonic flight vehicle

Guo

et al. 2022

Sliding mode‐based learning control is presented for T‐S fuzzy system. A T‐S fuzzy model with both uncertainties and unmodeled dynamics is proposed firstly, in which the information of uncertainties and unmodeled dynamics are assumed to be unknown. Then, according to a given reference model, state‐tracking error system is built. Respecting facts, the input matrices of the built T‐S fuzzy model are different from each other. An extended state observer is built for estimating the unknown uncertainties and unmodeled dynamics, and a corresponding sliding surface is proposed. A learning controller is then presented for the closed loop system. Moreover, a numerical simulation result on hypersonic flight vehicles is considered to testify the controller's availability.

“…The most frequently used method for dealing with stability of delayed systems is Lyapunov–Krasovskii functional method [12–14], and

{H}_{\infty }

control is often employed to investigate dynamics of systems with disturbances. Recently, event‐triggered mechanism is widely employed in various control systems in order to save communication resources [15]. Stability analysis and controller design have been intensively investigated for switched systems with delays or/and disturbances [16, 17].…”

Section: Introductionmentioning

confidence: 99%

Event‐triggered H_∞ control of discrete‐time switched linear systems with delays

Ling

Liu

Wang

et al. 2022

This paper studies the H∞$$ {H}_{\infty } $$ control problem of discrete‐time delayed switched systems with average dwell time switching signals using event‐triggered mechanism. The event‐triggered mechanism can reduce redundant information transmission. First, employing state‐feedback controller, two sufficient conditions are proposed to guaranteeing (i) exponential stability of the disturbance‐free closed‐loop system and (ii) H∞$$ {H}_{\infty } $$ performance of the closed‐loop system with disturbance. Moreover, the controller gain is explicitly computed by solving a set of linear matrix inequalities. Second, results obtained for state‐feedback controller are extended to those for observer‐based state‐feedback controller, and both the controller and observer gains are explicitly computed. All conditions are derived by utilizing a properly constructed decay‐rate‐dependent Lyapunov functional. Finally, a numerical example illustrates the validity of the obtained theoretical results.