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Standard form based design is a kind of simple and practical approach for the establishment of industrial controllers. To a kind of general multi-capacity process(MCP) standard form, the non-overshoot theorem of the unit step and the unit ramp responses is proved via the calculation for the system responses under relevant excitations. To improve the empirical formula of the settling time of MCP standard...
This paper considers three dimensional energy demand-supply systems. Stability of the equilibrium points has been analyzed. That is, the sufficient conditions of stability of the equilibrium point O have been obtained, as well as the sufficient and necessary conditions of asymptotical stability of the equilibrium point S2; and the equilibrium point S1 is proven to be always unstable when a1b1 <...
In the research field of observer design, one necessary and sufficient condition for the existence of Luenberger observer is widely cited as a fundamental theorem. In 1972, Fortmann and Williamson gave an earliest statement and proof of this theorem. The proof, in essentially unchanged form, was written in all books. We point out that this proof is not rigorous in that it neglected the couple relation...
In this paper, we investigate the problem of the discrete-time adaptive control design of robotic manipulators by utilizing the characteristic model theory. Different from the traditional plants manipulated by the characteristic model-based control strategy, the Coriolis matrix in the robotic dynamics makes the bound of the characteristic model coefficients rely on the state information, proposing...
In this paper, we consider a new class of control systems based on non-cooperative dynamical games. It involves a hierarchal decision making structure: one leader and multiple followers. Given any strategy of the leader, the followers form a non-cooperative dynamical game which may reach a Nash equilibrium. We will study the leader's controllability of such an equilibrium which has not be investigated...
The problem of autonomous orbit determination of the formation flying missions based solely on relative range measurements without any external signals is studied. Observability for all of the participating satellites in this problem is analyzed based on the nonlinear Keplerian model with J2 term and the nonlinear measurements. It is proven that for most formation flying missions with less than or...
This paper focuses on the anti-windup-based dynamic controller synthesis problem for a certain class of nonlinear systems subject to actuator saturation. Based on the Linear-Fractional Representation (LFR) techniques, the original system is transformed into a linear system incorporating a sector-bounded nonlinearity and a saturation nonlinearity with an additional linear-fractional constraint. By...
A dynamic inversion control scheme with guaranteed transient and steady state performances is presented in this paper for nonlinear UAV systems. Since system's transient performances cannot be adjusted directly through changing traditional controller design parameters, we propose a new inversion control scheme incorporated with a prescribed performance bounds which satisfies the requirement of the...
In this paper, an adaptive backstepping controller with state observer is proposed for an MEMS gyroscope in the presence of model uncertainties and external disturbances. A neural state observer is employed to estimate the MEMS gyroscope states incorporated in the backstepping controller. The neural network is utilized to approximate the nonlinear part of the gyroscope; the adaptive laws are investigated...
This paper investigates the relationship between overshoot and damping injection for the Port-Hamiltonian (PH) system subject to actuator saturation (AS). According to the decay function, the relationship between overshoot and damping injection for the PH system subject to AS is clear, that is, if the damping injection of control law is larger, the overshoot of PH system subject to AS is smaller....
Piezoelectric fast steering mirror (PFSM) is widely used as a key component in many optical systems. However, the precise tracking control of the PFSM is a challenging task, because of the existence of hysteresis nonlinearity, mechanical resonance and all kinds of disturbances. In this paper, a PFSM is treated as a second-order system with hysteresis and disturbances. And then a robust adaptive control...
In this paper, an adaptive output-feedback control scheme is presented for a class of stochastic nonlinear systems with dynamic uncertainties and unmeasured states. Radial basis function neural networks are used to approximate the unknown nonlinear functions. K-filters are designed to estimate the unmeasured states. The changing supply function is employed to solve the problem of dynamical uncertainties...
This paper investigates the state feedback based output regulation of Boolean control networks (BCNs) via the semitensor product of matrices. Based on an algebraic state-space representation of BCNs, a necessary and sufficient condition is presented for the solvability of the state feedback based output regulation problem. The study of an illustrative example shows that the obtained new results are...
Secure communication is one of the most promising application of chaos theory. As chaotic signals were noise-like, unpredictable, using chaotic systems to design secure communication system is feasible and reliable. In this paper, we form an array with different kinds of chaotic system, and discuss the control method of the chaotic system array. A secure communication scheme based on the chaotic systems...
Hierarchical control method imposing a two-layer hierarchical structure on the control system architecture is a recently developed method for the investigation of system properties and the design of control laws. This method is fully worthy of being studied because of the powerful forces it shows in complex dynamics, especially large-scale systems. In this paper, a new approach of hierarchical control...
We propose a new smooth attitude controller for rigid body in the presence of input saturation and external disturbances. The controller is composed of three parts, i.e., the quaternion part, the saturated velocity part, and the bounded disturbance compensation part. The disturbance compensation part is derived from disturbance observers. The main contribution of the study is that the constructed...
In this paper, the problem of the chaotification of linear continuous system is investigated. By introducing a nonlinear feedback control, the linear system can transition from non-chaotic to chaotic. Seven specific nonlinear functions respect to the system variables are presented as the nonlinear control input for chaotifying the system. The chaotic behaviors of the controlled system are analyzed...
A fuzzy adaptive tracking control problem is investigated for a class of single input and single output (SISO) uncertain switched nonlinear systems in pure feedback form and under arbitrary switchings. In the control design, fuzzy logic systems are used to identify the unknown nonlinear switched system, and the adaptive fuzzy output tracking controller and parameter adaptive laws are determinate based...
This paper investigates the algebraic formulation and stability for a class of networked evolutionary games with switched topologies by using the semi-tensor product method, and presents a number of new results. Firstly, a kind of algebraic expressions are formulated for the given networked evolutionary games to model its mixed strategy dynamic. Secondly, under some certain assumptions, the existence...
This paper investigates the distributed formation control problem for a group of mobile Euler-Lagrange agents to achieve global stabilization by using virtual tensegrity structures. Firstly, a systematic approach to design tensegrity frameworks is elaborately explained to confine the interaction relationships between agents, which allows us to obtain globally rigid frameworks. Then, based on virtual...
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