This paper is concerned with kinematically asymmetrically affine control systems with nonholonomic affine constraints (KAACS). We first show the nonintegrability condition for affine constraints using their geometric representation. Next, the KAACS is uniquely derived from affine constraints and control inputs. We then analyze the KAACS based on nonlinear control theory and provide some conditi...

This paper studies the large fluctuations of solutions of scalar and finite–dimensional affine stochastic functional differential equations with finite memory, as well as related nonlinear equations. We find conditions under which the exact almost sure growth rate of the partial maximum of each component of the system can be determined, both for affine and nonlinear equations. The proofs exploi...

In this paper, a wavelet based adaptive sliding mode control is designed for a class of discrete time uncertain nonlinear nonaffine systems. An equivalent affine like structure is first developed form the original nonaffine system and subsequently a wavelet based adaptive sliding mode tracking control scheme is developed for the affine like system. Wavelet neural network (WNN) is used to mimic ...

This paper presents a control methodology that enables nonlinear model based control of pulse width modulated (PWM) pneumatic servo actuators. An averaging approach is developed to describe the equivalent continuous-time dynamics of a PWM controlled nonlinear system, which renders the system, originally discontinuous and possibly non-affine in the input, into an equivalent system that is both c...

This paper presents a control methodology that enables nonlinear model based control of pulse width modulated (PWM) pneumatic servo actuators. An averaging approach is developed to describe the equivalent continuous-time dynamics of a PWM controlled nonlinear system, which renders the system, originally discontinuous and possibly non-affine in the input, into an equivalent system that is both c...

A variant factor (VF) technique is developed for the control design of a class of single-input and single-output affine nonlinear systems with input saturation. The main ideas of VF are to convert an affine nonlinear system into a linear time-invariant system similar to the dynamic inversion and then to use the ideas of the composite nonlinear feedback (CNF) technique to design a control law fo...

The paper proposes a new output feedback adaptive tracking control scheme using neural network for a class of uncertain non-affine nonlinear systems that only the system output variables can be measured. The scheme adopts low-pass filter to transform non-affine nonlinear systems into affine in the pseudo-input dynamics. No state observer is employed and few adapting parameters to be tuned and L...

This paper is concerned with set-point sevo problems by P·SPR·D control and P·I·SPR·D control of affine nonlinear system which is of multi input and multi output. P·SPR·D control consists of proportional (P) action + strict positive real (SPR) action + derivative (D) action. Such control can asymptotically stabilize the affine nonlinear system being passive. Stability analysis of P·SPR·D contro...

This paper presents conditions under which the feedback interconnection of a nonlinear plant and a piecewise-affine controller is stable. The piecewise-affine controller is designed for a piecewise-affine approximation of the nonlinear dynamics. The design is based on previous work of the authors. The paper also shows how to use differential inclusions to design piecewise-affine controllers for...

This paper is concerned with P·SPR·D control of affine nonlinear system and robot manipulators which are passive systems. P·SPR·D control consists of proportional(P) action + strict positive real(SPR) action + derivative(D) action. Such control can asymptotically stabilize the affine nonlinear system being of multi input and multi output. Stability analysis of the P·SPR·D control is made, based...