Adaptive asymptotic tracking control of uncertain nonlinear system with input quantization

Iterative learning control for output‐constrained nonlinear systems with input quantization and actuator faults

“…It is worth noticing that in many of the existing literature works dealing with system input quantization, the control input gain function for the system is assumed to be either in unity or totally known. [10][11][12][13][14] However, this may not hold true in many real applications. For example, in many robotic applications, the control input gain functions are often associated with the mass or inertia of the system, which may not be constant during the operation or may not be accurately acquired.…”

“…Remark It is worth noticing that in many of the existing literature works dealing with system input quantization, the control input gain function for the system is assumed to be either in unity or totally known . However, this may not hold true in many real applications.…”

An adaptive design for quantized feedback control of uncertain switched linear systems

“…The second relation in (37) implies that e ∈ ℬ 2 ( ). However, when e ∈ ℐ 2 ( ), a zooming-in event occurs and because ℬ 2 ( ) ⊂ ℐ 2 ( ), it is always true that e ∉ ℬ 2 ( ).…”

“…From the adaptive control point of view, most results on NCSs in the presence of quantization focus on uncertain nonswitched systems: in the work of Selivanov et al, 31 a passification-based adaptive controller with quantized measurements and disturbances is considered, where ultimate boundedness can be obtained; an adaptive optimal regulator design for unknown quantized linear discrete-time systems is proposed in the work of Zhao et al 32 ; in the work of Lai et al, 33 the control design is carried out by assuming the control input is wrapped in the coupling of quantization effect and a backlash nonlinearity; adaptive backstepping quantized control is carried out in the work of Zhou et al, 34 and in the work of Yu and Lin, 35 some assumptions are relaxed; sliding mode approaches with input quantization have been proposed in the works of Li and Yang 36 and Lai et al 37 ; a direct adaptive controller for linear uncertain systems with a communication channel is developed in the work of Hayakawa et al 38 and extended to nonlinear uncertain systems in their other work. 39 For most adaptive approaches, only bounded tracking error is guaranteed, 40 whereas from an engineering point of view, it is clear that asymptotic tracking would be preferred because it guarantees higher precision.…”

Adaptive quantized tracking control for uncertain switched nonstrict‐feedback nonlinear systems with discrete and distributed time‐varying delays

“…In order to avoid the oscillation caused by the traditional logarithmic quantizer, 32 the hysteretic quantizer was first developed and the adaptive quantized control problem was investigated for a class of strict-feedback uncertain nonlinear systems with hysteretic quantized input in the work of Hayakawa et al 33 After that, some interesting adaptive quantized control schemes were presented for some classes of nonlinear systems with hysteretic quantized input in previous works. [34][35][36][37] The sector-bounded quantized input was addressed in the work of Xing et al, 38 and a robust tracking control scheme was proposed for a class of uncertain strict-feedback nonlinear systems with this class of quantizer. For a class of nonlinear systems with constant input delay and hysteretic quantized input, the quantized control law was presented by using a Lyapunov-Krasovskii-functional approach in the work of Persis and Mazenc.…”